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%% This BibTeX bibliography file was created using BibDesk.
%% http://bibdesk.sourceforge.net/
%% Created for Pierre-Francois Loos at 2019-04-12 14:53:34 +0200
%% Saved with string encoding Unicode (UTF-8)
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Note = {In our BOVB wave functions, we use different sets of orbital coefficients, but a single set of basis exponents shared by all orbital sets.}}
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Note = {Bouab\c{c}a {\it et al.}~\cite{BouBraCaf-JCP-10} have introduced a wave function with several Jastrow factors attached to individual molecular orbitals. With such a wave function, the correlation effects can be treated differently in atomic and binding regions. In the case of the FH molecule, no atomic core Jastrow was used and two different valence Jastrow factors (one for the lone pairs paying a role in the bond and the other one for the $\sigma$-bond) were introduced. The resulting binding energy was essentially exact within error bars. Combining the various VB wave functions discussed in this work with this multi-Jastrow approach is presently under investigation.}}
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Note = {In the condensed-matter community, ``stricly localized orbitals'' often refers to orbitals that vanish exactly at some finite distance. In the present work, ``stricly localized orbitals'' is employed in the sense usually used in the quantum chemistry community, i.e. orbitals expanded on Gaussian or Slater basis functions centered on a single atom. Thus, these orbitals vanish exactly only at infinite distance.}}
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Note = {Le r{\'e}sultat exp{\'e}rimental dans l'article de Alijah et Duxbury (1.411 eV) a {\'e}t{\'e} corrig{\'e} pour enlever l'{\'e}nergie de point z{\'e}ro en utilisant les calculs FCI/TZ2P de Sherrill et al. (0.004 eV).}}
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Address = {Amsterdam},
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Booktitle = {Recent Developments of Modern Density Functional Theory},
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Publisher = {Elsevier},
Title = {Generalized gradient approximations to density functional theory: comparison with exact results},
Year = {1996}}
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Author = {C. Filippi},
Note = {private communication}}
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Author = {Claudia Filippi and Julien Toulouse and C. J. Umrigar},
Title = {in preparation}}
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Title = {{Excitation energies from density functional perturbation theory}},
Volume = {107},
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Editor = {W. A. Lester},
Pages = {73},
Publisher = {World Scientific},
Title = {Quantum Monte Carlo calculations with multi-reference trial wave functions},
Year = {1997}}
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Author = {H. J. Flad},
Title = {private communication}}
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Pages = {33},
Title = {{Quantum Monte Carlo simulations of solids}},
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Year = {2001}}
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Pages = {3576},
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Year = {1997}}
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Author = {O. Franck and E. Luppi and J. Toulouse},
Note = {unpublished}}
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Volume = {142},
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@misc{FraMusLupTou-JJJ-XX-note1,
Note = {Note that the partial-wave expansion of any {\it odd} power of $r_{12}$ contains an infinite number of terms. In contrast, the partial-wave expansion of any {\it even} power of $r_{12}$ terminates at a finite $\ell$.}}
@misc{FraMusLupTou-JJJ-XX-note2,
Note = {For a discussion of angular and radial correlation and the shape of the correlation hole in the He atom with the long-range interaction, see Ref.~\onlinecite{PolColLeiStoWerSav-IJQC-03}.}}
@misc{FraMusLupTou-JJJ-XX-note3,
Note = {For $\mu=1$ the difference between the long-range MP2 correlation energies for $X=5$ and $X=6$ is still as small as about 0.2 mhartree.}}
@misc{FraMusLupTou-JJJ-XX-note4,
Note = {For $r_1=r_2$, $f\lr_\ell >0$ for $\ell=0$ and $f\lr_\ell <0$ for $\ell \geq 1$.}}
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Keywords = {ALGORITHMS; ELECTRON DENSITY; FUNCTIONALS; SERIES EXPANSION; WAVE FUNCTIONS; GROUND STATES},
Number = {1},
Pages = {396-398},
Publisher = {AIP},
Title = {Direct first principles algorithm for the universal electron density functional},
Url = {http://link.aip.org/link/?JCP/77/396/1},
Volume = {77},
Year = {1982},
Bdsk-Url-1 = {http://link.aip.org/link/?JCP/77/396/1}}
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Issue = {2},
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Pages = {024502},
Publisher = {American Physical Society},
Title = {Merging multireference perturbation and density-functional theories by means of range separation: Potential curves for ${\mathrm{Be}}_{2}$, ${\mathrm{Mg}}_{2}$, and ${\mathrm{Ca}}_{2}$},
Url = {https://link.aps.org/doi/10.1103/PhysRevA.81.024502},
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Year = {2010},
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Volume = {135},
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Pages = {034116},
Volume = {135},
Year = {2011}}
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Volume = {78},
Year = {2008}}
@misc{FroKneJen-ARX-12,
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Note = {\url{http://fr.arxiv.org/abs/1211.4829v1}}}
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Pages = {084101},
Title = {{Multi-configuration time-dependent density-functional theory based on range separation}},
Volume = {138},
Year = {2013}}
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Pages = {054107},
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Year = {2009}}
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Year = {2007}}
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Abstract = {We show that density functional theory within the RPA (random phase
approximation for the exchange-correlation energy) provides a correct
description of bond dissociation in H2 in a spin-restricted Kohn-<96>Sham
formalism, i.e., without artificial symmetry breaking. We present
accurate adiabatic connection curves both at equilibrium and beyond
the Coulson-Fisher point. The strong curvature at large bond length
implies important static (left-<96>right) correlation, justifying modern
hybrid functional constructions but also demonstrating their limitations.
Although exact at infinite separation and accurate near the equilibrium
bond length, the RPA dissociation curve displays unphysical repulsion
at larger but finite bond lengths. Going beyond the RPA by including
the exact exchange kernel (RPA + X), we find a similar repulsion.
We argue that this deficiency is due to the absence of double excitations
in adiabatic linear response theory. Further analyzing the H2 dissociation
limit we show that the RPA + X is not size consistent, in contrast
to the RPA.},
Author = {Fuchs, M. and Niquet, Y. M. and Gonze, X. and Burke, K.},
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Pages = {094116},
Title = {Describing static correlation in bond dissociation by Kohn-Sham density functional theory},
Volume = {122},
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Bdsk-Url-1 = {https://doi.org/10.1063/1.1858371}}
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Eid = {022514},
Journal = {Physical Review A (Atomic, Molecular, and Optical Physics)},
Keywords = {density functional theory; HF calculations; boson systems; electron pairs; ground states; Schrodinger equation},
Number = {2},
Numpages = {10},
Pages = {022514},
Publisher = {APS},
Title = {Towards a practical pair density-functional theory for many-electron systems},
Url = {http://link.aps.org/abstract/PRA/v70/e022514},
Volume = {70},
Year = {2004},
Bdsk-Url-1 = {http://link.aps.org/abstract/PRA/v70/e022514}}
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Address = {Amsterdam},
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Booktitle = {Computational Photochemistry},
Editor = {M. Olivucci},
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Publisher = {Elsevier},
Series = {Theoretical and Computational Chemistry, Vol. 16},
Title = {Density functional methods for excited states: equilibrium structure and electronic spectra},
Year = {2005}}
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Title = {Valence Bond Methods: Theory and applications},
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@misc{KalTou-JJJ-XX-note1,
Note = {The geometries are available in the Minnesota Database at http://comp.chem.umn.edu/db/.}}
@misc{KalTou-JJJ-XX-note2,
Note = {The term ``range-separated double hybrid (RSDH)'' has already been used in Ref.~\onlinecite{SanCivUsvTouShaMas-JCP-15} to designate the RSH+MP2 method and in Refs.~\onlinecite{CorStoJenFro-PRA-13,CorFro-IJQC-14} to generically designate several kinds of range-separated MP2/DFT hybrids. In the present work, we use RSDH to designate the specific scheme corresponding to Eq.~(\ref{EmulRSDH}).}}
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@misc{lifetimes-note1,
Note = {For $\ell=0$, $R_2(r)$ only diverges as $1/r$ at $r=0$ which is normalizable, i.e. $\int_0^\infty \text{d}r r^2 |R_2(r)|^2 < \infty$. However, even in this case, the expectation value of the Hamiltonian operator is infinite. For $\ell \geq 1$, $R_2(r)$ is not even normalizable.}}
@misc{lifetimes-note2,
Note = {The general solution of the Schr\"odinger equation given in Eqs.~(\ref{solR})-(\ref{solR2}) is valid for $Z\not=0$. For $Z=0$, $R_1(r)$ in Eq.~(\ref{solR1}) becomes identically zero, and should be replaced by a function which has the same expression as $R_2(r)$ with the substitution $\sqrt{-2E} \to -\sqrt{-2E}$. The continuum scattering states are then obtained as a linear combination of these two functions. However, our analysis of complex-energy states remains unchanged. Thus, our procedure for determining the lifetimes is still valid for $Z=0$.}}
@misc{lifetimes-note3,
Note = {Because we do not impose spherical symmetry in our calculations, we do not have exactly degenerate s, p, and d states.}}
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@misc{Molpro-PROG-10,
Address = {Cardiff, UK},
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@misc{Molproshort-PROG-02,
Address = {Birmingham, UK},
Title = {MOLPRO, a package of ab initio programs designed by {H.-J.~Werner} and {P.~J. Knowles}, version 2002.2},
Year = {2002}}
@misc{Molproshort-PROG-08,
Address = {Cardiff, UK},
Author = {H.-J. Werner and P. J. Knowles and R. Lindh and F. R. Manby and M. {Sch\"{u}tz} and others},
Note = {see www.molpro.net},
Title = {MOLPRO, version 2008.2, a package of ab initio programs},
Year = {2008}}
@misc{Molproshort-PROG-10,
Author = {{H.-J. Werner, P. J. Knowles, G. Knizia, F. R. Manby, M. {Sch\"{u}tz}, and others}},
Note = {Cardiff, UK, 2010, see \url{http://www.molpro.net}},
Title = {MOLPRO, version 2010.1, a package of ab initio programs}}
@misc{Molproshort-PROG-12,
Author = {{H.-J. Werner, P. J. Knowles, G. Knizia, F. R. Manby, M. {Sch\"{u}tz}, and others}},
Note = {Cardiff, UK, 2012, see \url{http://www.molpro.net}},
Title = {MOLPRO, version 2012.1, a package of ab initio programs}}
@misc{Molproshort-PROG-15,
Author = {{H.-J. Werner, P. J. Knowles, G. Knizia, F. R. Manby, M. {Sch\"{u}tz}, and others}},
Note = {{Cardiff, UK, 2015, see \url{http://www.molpro.net}}},
Title = {{MOLPRO, version 2015.1, a package of ab initio programs}}}
@misc{Molproweb-PROG-XX,
Note = {\url{http://www.molpro.net}},
Title = {MOLPRO, a package of ab initio programs}}
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Year = {2013}}
@article{PatCenJezJezSza-JPCA-07,
Author = {Konrad Patkowski and Wojciech Cencek and M. Jeziorska and B. Jeziorski and Krzysztof Szalewicz},
Journal = {J. Phys. Chem. A},
Pages = {7611},
Volume = {111},
Year = {2007}}
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Author = {K. N. Pathak and P. Vashishta},
Journal = {Phys. Rev. B.},
Pages = {3649},
Volume = {{7}},
Year = {1972}}
@book{Pauncz-BOOK-79,
Address = {New York},
Author = {R. Pauncz},
Publisher = {Plenum Press},
Title = {Spin Eigenfunctions},
Year = {1979}}
@article{PauPilTouEll-JCP-10,
Author = {Fran\c{c}oise Pauzat and Julien Pilm\'e and Julien Toulouse and Yves Ellinger},
Journal = {J. Chem. Phys.},
Pages = {054301},
Title = {About the collapse of the 3.3 µm CH stretching band with ionization in polycyclic aromatic hydrocarbons: Configuration interaction and quantum Monte Carlo studies of the CH fragment},
Volume = {133},
Year = {2010}}
@article{PeaBenHelToz-JCP-08,
Author = {M. J. Peach and P. Benfield and T. Helgaker and D. J. Tozer},
Journal = {J. Chem. Phys.},
Pages = {044118},
Volume = {128},
Year = {2008}}
@article{PeaCohToz-PCCP-06,
Author = {M. J. G. Peach and A. J. Cohen and D. J. Tozer},
Journal = {Phys. Chem. Chem. Phys.},
Pages = {4543},
Volume = {8},
Year = {2006}}
@article{PeaHelSalKeaLutTozHan-PCCP-06,
Author = {M. J. G. Peach and T. Helgaker and P. Salek and T. W. Keal and O. B. Lutn{\ae}s and D. J. Tozer and N. C. Handy},
Journal = {Phys. Chem. Chem. Phys.},
Pages = {558},
Volume = {8},
Year = {2006}}
@article{PeaTeaHelToz-JCTC-15,
Author = {M. J. G. Peach and A. M. Teale and T. Helgaker and D. J. Tozer},
Journal = {J. Chem. Theory Comput.},
Pages = {5262},
Volume = {11},
Year = {2015}}
@article{PeaToz-JPCA-12,
Author = {M. J. G. Peach and D. J. Tozer},
Journal = {J. Phys. Chem. A},
Pages = {9783},
Volume = {116},
Year = {2012}}
@misc{PedJen-JJJ-XX,
Author = {J. K. Pedersen and H. J. A. Jensen},
Note = {(unpublished)},
Title = {{A second order MCSCF-DFT hybrid algorithm}}}
@misc{PedJen-JJJ-XX_fr,
Author = {J. K. Pedersen and H. J. A. Jensen},
Note = {non publi{\'e}}}
@phdthesis{Ped-THESIS-04,
Address = {Odense},
Author = {J. K. Pedersen},
School = {University of Southern Denmark},
Title = {Description of correlation and relativistic effects in calculations of molecular properties},
Type = {{PhD thesis}},
Year = {2004}}
@article{PeiNecWar-PRA-03,
Author = {K. Peirs and D. Van Neck and M. Waroquier},
Eid = {012505},
Issue = {1},
Journal = {Physical Review A (Atomic, Molecular, and Optical Physics)},
Keywords = {density functional theory; atomic structure; Green's function methods; ab initio calculations},
Numpages = {12},
Page = {012505},
Publisher = {APS},
Title = {Algorithm to derive exact exchange-correlation potentials from correlated densities in atoms},
Url = {http://link.aps.org/abstract/PRA/v67/e012505},
Volume = {67},
Year = {2003},
Bdsk-Url-1 = {http://link.aps.org/abstract/PRA/v67/e012505}}
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Author = {J. P. Perdew and K. Burke and M. Ernzerhof},
Journal = {Phys. Rev. Lett.},
Pages = {3865},
Title = {Generalized Gradient Approximation Made Simple},
Volume = {77},
Year = {1996}}
@article{PerCheVosJacPedSinFio-PRB-92,
Author = {J. P. Perdew and J. A. Chevary and S. H. Vosko and K. A. Jackson and M. R. Pederson and D. J. Singh and C. Fiolhais},
Journal = {Phys. Rev. B},
Pages = {6671},
Volume = {{46}},
Year = {1992}}
@book{PerEngDreGroGodNogCasMar-BOOK-03,
Address = {Berlin},
Editor = {C. Fiolhais and F. Nogueira and M. A. L. Marques},
Publisher = {Springer},
Series = {Vol. 620 of Lecture Notes in Physics},
Title = {A Primer in Density Functional Theory},
Year = {2003}}
@article{PerErnBur-JCP-96,
Author = {J. P. Perdew and M. Ernzerhof and K. Burke},
Journal = {J. Chem. Phys},
Pages = {9982},
Volume = {105},
Year = {1996}}
@article{PerErnBurSav-IJQC-97,
Author = {J. P. Perdew and M. Ernzerhof and K. Burke and A. Savin},
Journal = {Int. J. Quantum Chem.},
Pages = {197},
Volume = {{61}},
Year = {1997}}
@article{PerGieGriBae-JCP-07,
Author = {K. Pernal and K. Giesbertz and O. Gritsenko and E. J. Baerends},
Journal = {J. Chem. Phys.},
Pages = {214101},
Volume = {127},
Year = {2007}}
@article{PerGriBae-PRA-07,
Author = {K. Pernal and O. Gritsenko and E. J. Baerends},
Journal = {Phys. Rev. A},
Pages = {012506},
Volume = {75},
Year = {2007}}
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Author = {J. P. Perdew},
Journal = {Int. J. Quantum. Chem.: Quantum Chem. Symp.},
Pages = {93},
Volume = {27},
Year = {1993}}
@incollection{Per-INC-91,
Address = {berlin},
Author = {J. P. Perdew},
Booktitle = {Electronic Structure of Solids '91},
Editor = {P. Ziesche and H. Eschrig},
Publisher = {Akademie Verlag},
Year = {1991}}
@article{Per-JCP-12,
Author = {K. Pernal},
Journal = {J. Chem. Phys.},
Pages = {184105},
Title = {{Excitation energies from range-separated time-dependent density and density matrix functional theory}},
Volume = {136},
Year = {2012}}
@article{PerLanSah-PRL-77,
Author = {J. P. Perdew and D. C. Langreth and V. Sahni},
Journal = {Phys. Rev. Lett.},
Pages = {1030},
Volume = {{38}},
Year = {1977}}
@article{PerLev-PRL-83,
Author = {J. P. Perdew and M. Levy},
Journal = {Phys. Rev. Lett.},
Pages = {1884},
Volume = {51},
Year = {1983}}
@article{PerMcMZun-PRA-81,
Author = {J. P. Perdew and E. R. McMullen and A. Zunger},
Journal = {Phys. Rev. A},
Pages = {2785},
Volume = {{23}},
Year = {1981}}
@article{PerParLevBal-PRL-82,
Author = {J. P. Perdew and R. G. Parr and M. Levy and J. L. Balduz},
Journal = {Phys. Rev. Lett.},
Pages = {1691},
Title = {Density-functional theory for fractional particle number: Derivative discontinuity of the energy},
Volume = {49},
Year = {1982}}
@article{PerPerMorIll-JCC-07,
Author = {A. J. P\'erez-Jim\'enez and J. M. P\'erez-Jord\'a and I. De P. R. Moreira and F. Illas},
Journal = {J. Comput. Chem.},
Pages = {2559},
Volume = {28},
Year = {2007}}
@article{PerPerSan-JCP-07,
Author = {A. J. P\'erez-Jim\'enez and J. M. P\'erez-Jord\'a and J. C. Sancho-Garc\'ia},
Journal = {J. Chem. Phys.},
Pages = {104102},
Title = {Combining two-body density correlation functionals with multiconfigurational wave functions using natural orbitals and occupation numbers},
Volume = {127},
Year = {2007}}
@article{Per-PRA-10,
Author = {Katarzyna Pernal},
Journal = {Phys. Rev. A},
Pages = {052511},
Volume = {81},
Year = {2010}}
@article{Per-PRB-86,
Author = {J. P. Perdew},
Journal = {Phys. Rev. B},
Pages = {8822},
Volume = {{33}},
Year = {1986}}
@article{Per-PRL-85,
Author = {J. P. Perdew},
Journal = {Phys. Rev. Lett.},
Pages = {1665},
Volume = {{55}},
Year = {1985}}
@article{PerSavBur-PRA-95,
Author = {J. P. Perdew and A. Savin and K. Burke},
Journal = {Phys. Rev. A},
Pages = {4531},
Title = {{Escaping the symmetry dilemma through a pair-density interpretation of spin-density functional theory}},
Volume = {51},
Year = {1995}}
@article{PerWan2-PRB-92,
Author = {J. P. Perdew and Y. Wang},
Journal = {Phys. Rev. B},
Pages = {12947},
Volume = {{46}},
Year = {1992}}
@article{PerWan-PRB-86,
Author = {J. P. Perdew and Y. Wang},
Journal = {Phys. Rev. B},
Pages = {8800},
Volume = {{33}},
Year = {1986}}
@article{PerWan-PRB-92,
Author = {J. P. Perdew and Y. Wang},
Journal = {Phys. Rev. B},
Pages = {13244},
Volume = {45},
Year = {1992}}
@article{PerZun-PRB-81,
Author = {J. P. Perdew and A. Zunger},
Journal = {Phys. Rev. B},
Pages = {5048},
Volume = {23},
Year = {1981}}
@article{PetDun-JCP-02,
Author = {{K. A. Peterson and T. H. Dunning, Jr}},
Journal = {J. Chem. Phys.},
Pages = {10548},
Volume = {117},
Year = {2002}}
@article{PetDun-JPC-95,
Author = {{K. A. Peterson and T. H. Dunning Jr.}},
Journal = {J. Phys. Chem.},
Pages = {3898},
Volume = {99},
Year = {1995}}
@article{PetGosGro-PRL-96,
Author = {M. Petersilka and U. J. Gossmann and E. K. U. Gross},
Journal = {Phys. Rev. Lett.},
Pages = {1212},
Volume = {76},
Year = {1996}}
@article{PetGro-IJQC-96,
Author = {M. Petersilka and E. K. U. Gross},
Journal = {Int. J. Quantum Chem. Symp.},
Pages = {1393},
Volume = {30},
Year = {1996}}
@article{PetHolChaNigUmr-PRL-12,
Author = {F. R. Petruzielo and A. A. Holmes and H. J. Changlani and M. P. Nightingale and C. J. Umrigar},
Journal = {Phys. Rev. Lett.},
Pages = {230201},
Title = {Semistochastic Projector Monte Carlo Method},
Volume = {109},
Year = {2012}}
@article{PetKenDun-JCP-93b,
Author = {{K. A. Peterson, R. A. Kendall and T. H. Dunning Jr.}},
Journal = {J. Chem. Phys.},
Pages = {9790},
Volume = {99},
Year = {1993}}
@article{PetTouUmr-JCP-11,
Author = {F. R. Petruzielo and J. Toulouse and C. J. Umrigar},
Journal = {J. Chem. Phys.},
Pages = {064104},
Title = {Basis set construction for molecular electronic structure theory: Natural orbital and Gauss--Slater basis for smooth pseudopotentials},
Volume = {134},
Year = {2011}}
@article{PetTouUmr-JCP-12,
Author = {F. R. Petruzielo and J. Toulouse and C. J. Umrigar},
Journal = {J. Chem. Phys.},
Pages = {124116},
Title = {{Approaching chemical accuracy with quantum Monte Carlo}},
Volume = {136},
Year = {2012}}
@article{PevHea-JCP-13,
Author = {Roberto Peverati and Martin Head-Gordon},
Journal = {J. Chem. Phys.},
Pages = {024110},
Title = {Orbital optimized double-hybrid density functionals},
Volume = {139},
Year = {2013}}
@article{PevTru-JPCL-11,
Author = {Roberto Peverati and Donald G. Truhlar},
Journal = {J. Phys. Chem. Lett.},
Pages = {2810},
Volume = {2},
Year = {2011}}
@article{PevTru-JPCL-12,
Author = {Roberto Peverati and Donald G. Truhlar},
Journal = {J. Phys. Chem. Lett.},
Pages = {117},
Volume = {3},
Year = {2012}}
@article{PevTru-PTRSA-14,
Abstract = {Kohn{\textendash}Sham density functional theory is in principle an exact formulation of quantum mechanical electronic structure theory, but in practice we have to rely on approximate exchange{\textendash}correlation (xc) functionals. The objective of our work has been to design an xc functional with broad accuracy across as wide an expanse of chemistry and physics as possible, leading{\textemdash}as a long-range goal{\textemdash}to a functional with good accuracy for all problems, i.e. a universal functional. To guide our path towards that goal and to measure our progress, we have developed{\textemdash}building on earlier work of our group{\textemdash}a set of databases of reference data for a variety of energetic and structural properties in chemistry and physics. These databases include energies of molecular processes, such as atomization, complexation, proton addition and ionization; they also include molecular geometries and solid-state lattice constants, chemical reaction barrier heights, and cohesive energies and band gaps of solids. For this paper, we gather many of these databases into four comprehensive databases, two with 384 energetic data for chemistry and solid-state physics and another two with 68 structural data for chemistry and solid-state physics, and we test two wave function methods and 77 density functionals (12 Minnesota meta functionals and 65 others) in a consistent way across this same broad set of data. We especially highlight the Minnesota density functionals, but the results have broader implications in that one may see the successes and failures of many kinds of density functionals when they are all applied to the same data. Therefore, the results provide a status report on the quest for a universal functional.},
Author = {Peverati, Roberto and Truhlar, Donald G.},
Doi = {10.1098/rsta.2012.0476},
Isbn = {1471-2962},
Issn = {1364-503X},
Journal = {Phil. Trans. R. Soc. A},
Note = {preprint at http://arxiv.org/abs/1212.0944},
Number = {2011},
Pages = {20120476},
Publisher = {The Royal Society},
Title = {Quest for a universal density functional: the accuracy of density functionals across a broad spectrum of databases in chemistry and physics},
Volume = {372},
Year = {2014},
Bdsk-Url-1 = {https://doi.org/10.1098/rsta.2012.0476}}
@article{PhiKanZgi-JCP-15,
Author = {J. J. Phillips and A. A. Kananenka and D. Zgid},
Journal = {J. Chem. Phys.},
Pages = {194108},
Volume = {142},
Year = {2015}}
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Author = {B. T. Pickup and O. Goscinski},
Journal = {Mol. Phys.},
Pages = {1013},
Volume = {26},
Year = {1973}}
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Author = {D. Pines and P. Nozi\`eres},
Publisher = {Addison-Wesley Publishing Company},
Title = {The Theory of Quantum Liquids},
Year = {1989}}
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Author = {C. Pisani and R. Dovesi},
Journal = {Int. J. Quantum Chem.},
Pages = {501},
Volume = {17},
Year = {1980}}
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Author = {C. Pisani and L. Maschio and S. Casassa and M. Halo and M. Sch\"utz and D. Usvyat},
Journal = {J. Comput. Chem.},
Pages = {2113},
Volume = {29},
Year = {2008}}
@article{BytLaiRuedenJCP05,
Author = {Bytautas,Laimutis and Ruedenberg,Klaus},
Doi = {10.1063/1.1869493},
Eprint = {https://doi.org/10.1063/1.1869493},
Journal = {The Journal of Chemical Physics},
Number = {15},
Pages = {154110},
Title = {Correlation energy extrapolation by intrinsic scaling. IV. Accurate binding energies of the homonuclear diatomic molecules carbon, nitrogen, oxygen, and fluorine},
Url = {https://doi.org/10.1063/1.1869493},
Volume = {122},
Year = {2005},
Bdsk-Url-1 = {https://doi.org/10.1063/1.1869493}}
@article{pittner:10275,
Author = {Jiri Pittner and Petr Nachtigall and Petr Carsky and Jozef Masik and Ivan Hubac},
Journal = {The Journal of Chemical Physics},
Keywords = {organic compounds; silicon compounds; coupled cluster calculations; configuration interactions},
Number = {21},
Pages = {10275-10282},
Publisher = {AIP},
Title = {Assessment of the single-root multireference Brillouin--Wigner coupled- cluster method: Test calculations on CH[sub 2], SiH[sub 2], and twisted ethylene},
Url = {http://link.aip.org/link/?JCP/110/10275/1},
Volume = {110},
Year = {1999},
Bdsk-Url-1 = {http://link.aip.org/link/?JCP/110/10275/1}}
@article{PolColLeiStoWerSav-IJQC-03,
Author = {R. Pollet and F. Colonna and T. Leininger and H. Stoll and H.-J. Werner and A. Savin},
Journal = {Int. J. Quantum. Chem.},
Pages = {84},
Title = {Exchange-Correlation Energies and Correlation Holes for Some Two- and Four-Electron Atoms along a Nonlinear Adiabatic Connection in Density Functional Theory},
Volume = {{91}},
Year = {2003}}
@article{PolSavLeiSto-JCP-02,
Author = {R. Pollet and A. Savin and T. Leininger and H. Stoll},
Journal = {J. Chem. Phys.},
Pages = {1250},
Title = {Combining multideterminantal wave functions with density functionals to handle near-degeneracy in atoms and molecules},
Volume = {{116}},
Year = {2002}}
@phdthesis{Pol-THESIS-01,
Author = {R. Pollet},
School = {Universit\'e Paris 6},
Title = {D\'eveloppement et applications d'une m\'ethode g\'en\'eralisant la th\'eorie de la fonctionnelle de la densit\'e \`a plusieurs d\'eterminants de Slater},
Type = {Th\`ese de doctorat},
Year = {2001}}
@article{Pop-RMP-99,
Author = {J. A. Pople},
Journal = {Rev. Mod. Phys.},
Pages = {1267},
Title = {{Nobel Lecture: Quantum chemical models}},
Volume = {{71}},
Year = {1999}}
@article{PorDer-PRA-02,
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Journal = {Phys. Rev. A},
Pages = {020701(R)},
Volume = {65},
Year = {2002}}
@article{PraWooPetDunWil-TCA-11,
Author = {{B. P. Prascher, D. E. Woon, K. A. Peterson, T. H. Dunning, Jr., and A. K. Wilson}},
Journal = {Theor. Chem. Acc.},
Pages = {69},
Volume = {128},
Year = {2011}}
@article{PreBevFah-PRB-02,
Author = {David Prendergast and David Bevan and Stephen Fahy},
Journal = {Phys. Rev. B},
Pages = {155104},
Volume = {66},
Year = {2002}}
@article{PreNolFilFahGre-JCP-01,
Author = {D. Prendergast and M. Nolan and C. Filippi and S. Fahy and J. C. Greer},
Journal = {J. Chem. Phys.},
Pages = {1626},
Volume = {{115}},
Year = {2001}}
@book{PreTeuVetFla-BOOK-92,
Address = {Cambridge},
Author = {W. Press and S. Teukolsky and W. Vetterling and B. Flannery},
Publisher = {Cambridge University Press},
Title = {Numerical Recipes},
Year = {1992}}
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Journal = {Mol. Phys.},
Pages = {197},
Volume = {17},
Year = {1969}}
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Journal = {J. Chem. Phys.},
Pages = {094107},
Volume = {130},
Year = {2009}}
@misc{Qmc-PROG-XX,
Note = {QMCMOL, a quantum Monte Carlo program written by R. Assaraf, F. Colonna, X. Krokidis, P. Reinhardt and coworkers.},
Url = {http://www.lct.jussieu.fr/pagesequipe/qmcmol/qmcmol/},
Bdsk-Url-1 = {http://www.lct.jussieu.fr/pagesequipe/qmcmol/qmcmol/}}
@misc{Quantumexpressoweb-PROG-XX,
Note = {\url{http://www.quantum-espresso.org}},
Title = {QUANTUM ESPRESSO, an integrated suite of Open-Source computer codes for electronic-structure calculations and materials modeling at the nanoscale}}
@article{RabBaeNeu-PRB-15,
Author = {E. Rabani and R. Baer and D. Neuhauser},
Journal = {Phys. Rev. B},
Pages = {235302},
Volume = {91},
Year = {2015}}
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Author = {B. S. Rabinovitch and John E. Douglas and F. S. Looney},
Journal = {The Journal of Chemical Physics},
Number = {11},
Pages = {1807-1808},
Publisher = {AIP},
Title = {The Thermal Trans-Cis Isomerization of Dideuteroethylene},
Url = {http://link.aip.org/link/?JCP/20/1807/2},
Volume = {20},
Year = {1952},
Bdsk-Url-1 = {http://link.aip.org/link/?JCP/20/1807/2}}
@book{Rai-BOOK-72,
Address = {Amsterdam-London},
Author = {S. Raimes},
Publisher = {North-Holland Publishing Company},
Title = {Many-electron theory},
Year = {1972}}
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Pages = {59},
Volume = {41},
Year = {1980}}
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Author = {A. K. Rajagopal and J. Callaway},
Journal = {Phys. Rev. B},
Pages = {1912},
Volume = {7},
Year = {1973}}
@article{Raj-JPC-78,
Author = {A. K. Rajagopal},
Journal = {J. Phys. C},
Pages = {L943},
Volume = {11},
Year = {1978}}
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Author = {Krupa Ramasesha and Stephen R. Leone and Daniel M. Neumark},
Journal = {Annu. Rev. Phys. Chem.},
Pages = {41},
Title = {Real-Time Probing of Electron Dynamics Using Attosecond Time-Resolved Spectroscopy},
Volume = {67},
Year = {2016}}
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Author = {M. V. Ramana and A. K. Rajagopal},
Journal = {Phys. Rev. A},
Pages = {96},
Year = {1982}}
@article{RasChi-JCP-96a,
Author = {V. A. Rassolov and D. M. Chipman},
Journal = {J. Chem. Phys.},
Pages = {1470},
Volume = {105},
Year = {1996}}
@article{RasChi-JCP-96b,
Author = {V. A. Rassolov and D. M. Chipman},
Journal = {J. Chem. Phys.},
Pages = {1479},
Volume = {105},
Year = {1996}}
@misc{RebSavTou-JJJ-XX,
Author = {E. Rebolini and A. Savin and J. Toulouse},
Note = {unpublished}}
@article{RebSavTou-MP-13,
Author = {E. Rebolini and A. Savin and J. Toulouse},
Journal = {Mol. Phys.},
Pages = {1219},
Title = {Electronic excitations from a linear-response range-separated hybrid scheme},
Volume = {111},
Year = {2013}}
@article{RebTeaHelSavTou-MP-18,
Author = {E. Rebolini and A. M. Teale and T. Helgaker and A. Savin and J. Toulouse},
Doi = {doi.org/10.1080/00268976.2017.1422811},
Journal = {Mol. Phys.},
Pages = {1443-1451},
Title = {Excitation energies from G\"orling--Levy perturbation theory along the range-separated adiabatic connection},
Volume = {116},
Year = {2018},
Bdsk-Url-1 = {https://doi.org/10.1080/00268976.2017.1422811}}
@phdthesis{Reb-THESIS-14,
Author = {E. Rebolini},
School = {Universit\'e Pierre et Marie Curie},
Title = {Range-separated density-functional theory for molecular excitation energies},
Type = {{Th\`ese de doctorat}},
Url = {https://tel.archives-ouvertes.fr/tel-01027522},
Year = {2014},
Bdsk-Url-1 = {https://tel.archives-ouvertes.fr/tel-01027522}}
@phdthesis{Reb-THESIS-14_eng,
Author = {E. Rebolini},
School = {Universit\'e Pierre et Marie Curie},
Title = {Range-separated density-functional theory for molecular excitation energies},
Type = {{PhD thesis}},
Url = {https://tel.archives-ouvertes.fr/tel-01027522},
Year = {2014},
Bdsk-Url-1 = {https://tel.archives-ouvertes.fr/tel-01027522}}
@article{RebTou-JCP-16,
Author = {E. Rebolini and J. Toulouse},
Doi = {http://dx.doi.org/10.1063/1.4943003},
Journal = {J. Chem. Phys.},
Pages = {094107},
Title = {Range-separated time-dependent density-functional theory with a frequency-dependent second-order Bethe-Salpeter correlation kernel},
Volume = {144},
Year = {2016},
Bdsk-Url-1 = {http://dx.doi.org/10.1063/1.4943003}}
@misc{RebTou-JJJ-XX-note1,
Note = {The last two terms of the kernel in Eq. (31) of Ref.~\onlinecite{ZhaSteYan-JCP-13} contain non-antisymmetrized two-electron integrals. However, these terms can also be written with a factor of $1/2$ and antisymmetrized two-electron integrals, leading to our Eq.~(\ref{eq:eff kernel iajb}).}}
@incollection{RebTouSav-INC-13,
Author = {E. Rebolini and J. Toulouse and A. Savin},
Booktitle = {Electronic Structure and Reactivity},
Editor = {S. K. Ghosh and P. K. Chattaraj},
Note = {preprint at http://arxiv.org/abs/1304.1314},
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Note = {unpublished}}
@misc{TouZhuAngSav-JJJ-XX-note2,
Note = {In the context of density-functional theory RPA is usually derived from the Kohn-Sham reference, while in the context of many-body perturbation theory (see appendices) RPA is usually derived from the HF reference. Therefore, both PBE+RPA and HF+RPA are theoretically justified.}}
@misc{TouZhuAngSav-JJJ-XX-note3,
Note = {The inverse of a 4-point function $\chi (1,2;1',2')$ is defined according to $\int d1'd2' \chi (1,2;1',2') \chi^{-1} (2',1';4,3) = \delta(1,3) \delta (2,4)$.}}
@misc{TouZhuAngSav-JJJ-XX-note,
Note = {The short-range self-energy correction $\Delta \Sigma^\sr_\l$ is wrongly missing in Eq.~(11) of Ref.~\onlinecite{TouGerJanSavAng-PRL-09}. However, in practice, this term vanishes in the RPA or RPAx approximation so that the results of Ref.~\onlinecite{TouGerJanSavAng-PRL-09} are correct.}}
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Note = {unpublished}}
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Note = {In Ref.~\onlinecite{Hes-JCP-11}, AC-RPA, NRPA1, NRPA3, and NRPA4 refer to what we call here RPAx-I, RPAx-II, RPA-SO2, and RPA-SO1, respectively. In addition, NRPA2 corresponds to the variant of Fukuda {\it et al.}, i.e. $2E_{c,\RPAxII}-E_{c,\text{MP2}}$.}}
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Author = {C. J. Umrigar},
Note = {non publi{\'e}}}
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Publisher = {AIP},
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Address = {Netherlands},
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Keywords = {density functional theory; Monte Carlo methods; ground states; electron gas; electron density; electron correlations},
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Publisher = {APS},
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Journal = {J. Chem. Theory Comput.},
Pages = {364},
Volume = {2},
Year = {2006}}
@article{ZhaSteYan-JCP-13,
Abstract = {We present a dynamical second-order kernel for the Bethe-Salpeter equation to calculate electronic excitation energies. The derivation takes explicitly the functional derivative of the exact second-order self energy with respect to the one-particle Green's function. It includes naturally a frequency dependence, going beyond the adiabatic approximation. Perturbative calculations under the Tamm-Dancoff approximation, using the configuration interaction singles (CIS) eigenvectors, reveal an appreciable improvement over CIS, time-dependent Hartree-Fock, and adiabatic time-dependent density functional theory results. The perturbative results also compare well with equation-of-motion coupled-cluster and experimental results.},
Author = {Zhang, Du and Steinmann, Stephan N and Yang, Weitao},
Journal = {J. Chem. Phys.},
Month = oct,
Number = {15},
Pages = {154109},
Pmid = {24160502},
Publisher = {American Institute of Physics},
Title = {{Dynamical second-order Bethe-Salpeter equation kernel: A method for electronic excitation beyond the adiabatic approximation.}},
Volume = {139},
Year = {2013}}
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Author = {I. Y. Zhang and N. Q. Su and E. A. G. Br\'emond and C. Adamo},
Journal = {J. Chem. Phys.},
Pages = {174103},
Volume = {136},
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Author = {Y. Zhao and D. G. Truhlar},
Journal = {J. Chem. Theory Comput.},
Pages = {289},
Title = {Density Functionals for Noncovalent Interaction Energies of Biological Importance},
Volume = {3},
Year = {2007}}
@article{ZhaTru-TCA-08,
Author = {Y. Zhao and D. G. Truhlar},
Journal = {Theor. Chem. Acc.},
Pages = {215},
Volume = {120},
Year = {2008}}
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Volume = {46},
Year = {2010}}
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Journal = {Proc. Natl. Acad. Sci. U.S.A.},
Pages = {4963},
Volume = {106},
Year = {2009}}
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Author = {{Y. Zhang, X. Xu et W. A. Goddard III}},
Journal = {Proc. Natl. Acad. Sci. U.S.A.},
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Volume = {30},
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Author = {I. Y. Zhang and X. Xu},
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Volume = {4},
Year = {2013}}
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Author = {{I. Y. Zhang, X. Xu, Y. Jung, and W. A. Goddard III}},
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Author = {J. Zheng and Y. Zhao and D. G. Truhlar},
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Author = {J. Zheng and Y. Zhao and D. G. Truhlar},
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Volume = {79},
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Author = {Wuming Zhu and Julien Toulouse and Andreas Savin and J\'anos G. \'Angy\'an},
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Title = {Range-separated density-functional theory with random phase approximation applied to noncovalent intermolecular interactions},
Volume = {132},
Year = {2010}}
@misc{ZhuTouSavAng-JJJ-XX,
Author = {W. Zhu and J. Toulouse and A. Savin and J. G. \'Angy\'an},
Note = {unpublished}}
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Author = {P. Ziesche and J. Cioslowski},
Journal = {Physica A},
Year = {to appear}}
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Pages = {154102},
Volume = {130},
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Pages = {2693},
Volume = {120},
Year = {2004}}
@article{ZimTouZhaMusUmr-JCP-09,
Author = {P. M. Zimmerman and J. Toulouse and Z. Zhang and C. B. Musgrave and C. J. Umrigar},
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Pages = {124103},
Title = {Excited states of methylene from quantum Monte Carlo},
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Year = {2009}}
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Author = {P. S. Zuchowski and R. Podeszwa and R. Moszynski and B. Jeziorski and K. Szalewicz},
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Pages = {084101},
Title = {{Symmetry-adapted perturbation theory utilizing density functional description of monomers for high-spin open-shell complexes}},
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Year = {2008}}
@article{FerGinTou-JCP-18,
Author = {Fert{\'e},Anthony and Giner,Emmanuel and Toulouse,Julien},
Date-Modified = {2019-04-07 14:03:44 +0200},
Doi = {10.1063/1.5082638},
Journal = {J. Chem. Phys.},
Number = {8},
Pages = {084103},
Title = {Range-separated multideterminant density-functional theory with a short-range correlation functional of the on-top pair density},
Volume = {150},
Year = {2019},
Bdsk-Url-1 = {https://doi.org/10.1063/1.5082638}}
@article{GoriSav-PRA-06,
Author = {Gori-Giorgi, Paola and Savin, Andreas},
Doi = {10.1103/PhysRevA.73.032506},
Issue = {3},
Journal = {Phys. Rev. A},
Month = {Mar},
Numpages = {9},
Pages = {032506},
Publisher = {American Physical Society},
Title = {Properties of short-range and long-range correlation energy density functionals from electron-electron coalescence},
Url = {https://link.aps.org/doi/10.1103/PhysRevA.73.032506},
Volume = {73},
Year = {2006},
Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevA.73.032506},
Bdsk-Url-2 = {https://doi.org/10.1103/PhysRevA.73.032506}}
@article{PazMorGorBac-PRB-06,
Author = {Paziani, Simone and Moroni, Saverio and Gori-Giorgi, Paola and Bachelet, Giovanni B.},
Date-Modified = {2019-04-07 14:56:44 +0200},
Doi = {10.1103/PhysRevB.73.155111},
Issue = {15},
Journal = {Phys. Rev. B},
Month = {Apr},
Numpages = {9},
Pages = {155111},
Publisher = {American Physical Society},
Title = {Local-spin-density functional for multideterminant density functional theory},
Url = {https://link.aps.org/doi/10.1103/PhysRevB.73.155111},
Volume = {73},
Year = {2006},
Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevB.73.155111},
Bdsk-Url-2 = {https://doi.org/10.1103/PhysRevB.73.155111}}
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Author = {Giner, Emmanuel and Tew, David P. and Garniron, Yann and Alavi, Ali},
Doi = {10.1021/acs.jctc.8b00591},
Eprint = {https://doi.org/10.1021/acs.jctc.8b00591},
Journal = {Journal of Chemical Theory and Computation},
Note = {PMID: 30347156},
Number = {12},
Pages = {6240-6252},
Title = {Interplay between Electronic Correlation and Metal--Ligand Delocalization in the Spectroscopy of Transition Metal Compounds: Case Study on a Series of Planar Cu2+ Complexes},
Url = {https://doi.org/10.1021/acs.jctc.8b00591},
Volume = {14},
Year = {2018},
Bdsk-Url-1 = {https://doi.org/10.1021/acs.jctc.8b00591}}
@article{LooBogSceCafJAc-JCTC-19,
Author = {Loos, Pierre-Fran{\c c}ois and Boggio-Pasqua, Martial and Scemama, Anthony and Caffarel, Michel and Jacquemin, Denis},
Date-Modified = {2019-04-07 14:02:34 +0200},
Doi = {10.1021/acs.jctc.8b01205},
Journal = {J. Chem. Theory Comput.},
Number = {3},
Pages = {1939-1956},
Title = {Reference Energies for Double Excitations},
Volume = {15},
Year = {2019},
Bdsk-Url-1 = {https://doi.org/10.1021/acs.jctc.8b01205}}
@article{LooSceBloGarCafJac-JCTC-18,
Author = {Loos, Pierre-Fran{\c c}ois and Scemama, Anthony and Blondel, Aymeric and Garniron, Yann and Caffarel, Michel and Jacquemin, Denis},
Date-Modified = {2019-04-07 14:03:07 +0200},
Doi = {10.1021/acs.jctc.8b00406},
Journal = {J. Chem. Theory Comput.},
Number = {8},
Pages = {4360-4379},
Title = {A Mountaineering Strategy to Excited States: Highly Accurate Reference Energies and Benchmarks},
Volume = {14},
Year = {2018},
Bdsk-Url-1 = {https://doi.org/10.1021/acs.jctc.8b00406}}
@article{HolUmrSha-JCP-17,
Author = {Holmes,Adam A. and Umrigar,C. J. and Sharma,Sandeep},
Doi = {10.1063/1.4998614},
Eprint = {https://doi.org/10.1063/1.4998614},
Journal = {The Journal of Chemical Physics},
Number = {16},
Pages = {164111},
Title = {Excited states using semistochastic heat-bath configuration interaction},
Url = {https://doi.org/10.1063/1.4998614},
Volume = {147},
Year = {2017},
Bdsk-Url-1 = {https://doi.org/10.1063/1.4998614}}
@article{stochastic_pt_yan,
Author = {Yann Garniron and Anthony Scemama and Pierre-Fran{\c c}ois Loos and Michel Caffarel},
Doi = {10.1063/1.4992127},
Journal = {J. Chem. Phys.},
Number = {3},
Pages = {034101},
Title = {Hybrid stochastic-deterministic calculation of the second-order perturbative contribution of multireference perturbation theory},
Url = {https://doi.org/10.1063/1.4992127},
Volume = {147},
Year = {2017},
Bdsk-Url-1 = {https://doi.org/10.1063/1.4992127}}
@article{GorSav-PRA-06,
Author = {Gori-Giorgi, Paola and Savin, Andreas},
Doi = {10.1103/PhysRevA.73.032506},
Issue = {3},
Journal = {Phys. Rev. A},
Month = {Mar},
Numpages = {9},
Pages = {032506},
Publisher = {American Physical Society},
Title = {Properties of short-range and long-range correlation energy density functionals from electron-electron coalescence},
Url = {https://link.aps.org/doi/10.1103/PhysRevA.73.032506},
Volume = {73},
Year = {2006},
Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevA.73.032506},
Bdsk-Url-2 = {https://doi.org/10.1103/PhysRevA.73.032506}}
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Abstract = {Valence and all-electron correlation energies of Ne, N2, and H2O at fixed experimental geometries are computed at the levels of second-order perturbation theory (MP2) and coupled cluster theory with singles and doubles excitations (CCSD), and singles and doubles excitations with a perturbative triples correction (CCSD(T)). Correlation-consistent polarized valence and core-valence basis sets up to sextuple zeta quality are employed. Guided by basis-set limits established by rij-dependent methods, a number of extrapolation schemes for use with the correlation-consistent basis sets are investigated. Among the schemes considered here, a linear least-squares procedure applied to the quintuple and sextuple zeta results yields the most accurate extrapolations.},
Author = {Asger Halkier and Trygve Helgaker and Poul J{\o}rgensen and Wim Klopper and Henrik Koch and Jeppe Olsen and Angela K. Wilson},
Date-Modified = {2019-04-07 14:59:22 +0200},
Doi = {https://doi.org/10.1016/S0009-2614(98)00111-0},
Issn = {0009-2614},
Journal = {Chem. Phys. Lett.},
Number = {3},
Pages = {243 - 252},
Title = {Basis-set convergence in correlated calculations on Ne, N2, and H2O},
Url = {http://www.sciencedirect.com/science/article/pii/S0009261498001110},
Volume = {286},
Year = {1998},
Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S0009261498001110},
Bdsk-Url-2 = {https://doi.org/10.1016/S0009-2614(98)00111-0}}
@article{DasHer-JCC-17,
Author = {Dasgupta, Saswata and Herbert, John M.},
Doi = {10.1002/jcc.24761},
Eprint = {https://onlinelibrary.wiley.com/doi/pdf/10.1002/jcc.24761},
Journal = {Journal of Computational Chemistry},
Number = {12},
Pages = {869-882},
Title = {Standard grids for high-precision integration of modern density functionals: SG-2 and SG-3},
Volume = {38},
Year = {2017},
Bdsk-Url-1 = {https://doi.org/10.1002/jcc.24761}}
@article{rs_dft_toul_colo_savin,
Author = {J. Toulouse and F. Colonna and A. Savin},
Doi = {10.1103/PhysRevA.70.062505},
Issue = {6},
Journal = {Phys. Rev. A},
Month = {Dec},
Numpages = {16},
Pages = {062505},
Publisher = {American Physical Society},
Title = {Long-range--short-range separation of the electron-electron interaction in density-functional theory},
Url = {https://link.aps.org/doi/10.1103/PhysRevA.70.062505},
Volume = {70},
Year = {2004},
Bdsk-Url-1 = {https://link.aps.org/doi/10.1103/PhysRevA.70.062505},
Bdsk-Url-2 = {https://doi.org/10.1103/PhysRevA.70.062505}}
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