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%Control: page (0) single
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%Control: year (1) truncated
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%Control: production of eprint (0) enabled
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\begin{thebibliography}{175}%
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\begin{thebibliography}{178}%
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\makeatletter
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\providecommand \@ifxundefined [1]{%
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\@ifx{#1\undefined}
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@ -1487,6 +1487,38 @@
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{journal} {\bibinfo {journal} {J. Phys. Chem. A}\ }\textbf {\bibinfo
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{volume} {112}},\ \bibinfo {pages} {13164} (\bibinfo {year}
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{2008})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Barca}\ \emph {et~al.}(2014)\citenamefont {Barca},
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\citenamefont {Gilbert},\ and\ \citenamefont {Gill}}]{Barca_2014}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {G.~M.~J.}\
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\bibnamefont {Barca}}, \bibinfo {author} {\bibfnamefont {A.~T.~B.}\
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\bibnamefont {Gilbert}}, \ and\ \bibinfo {author} {\bibfnamefont {P.~M.~W.}\
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\bibnamefont {Gill}},\ }\href {\doibase 10.1063/1.4896182} {\bibfield
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{journal} {\bibinfo {journal} {J. Chem. Phys.}\ }\textbf {\bibinfo {volume}
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{141}},\ \bibinfo {pages} {111104} (\bibinfo {year} {2014})}\BibitemShut
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{NoStop}%
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\bibitem [{\citenamefont {Barca}\ \emph
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{et~al.}(2018{\natexlab{a}})\citenamefont {Barca}, \citenamefont {Gilbert},\
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and\ \citenamefont {Gill}}]{Barca_2018a}%
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {G.~M.~J.}\
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\bibnamefont {Barca}}, \bibinfo {author} {\bibfnamefont {A.~T.~B.}\
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\bibnamefont {Gilbert}}, \ and\ \bibinfo {author} {\bibfnamefont {P.~M.~W.}\
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\bibnamefont {Gill}},\ }\href {\doibase 10.1021/acs.jctc.7b00994} {\bibfield
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{journal} {\bibinfo {journal} {J. Chem. Theory. Comput.}\ }\textbf {\bibinfo
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{volume} {14}},\ \bibinfo {pages} {1501} (\bibinfo {year}
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{2018}{\natexlab{a}})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Barca}\ \emph
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{et~al.}(2018{\natexlab{b}})\citenamefont {Barca}, \citenamefont {Gilbert},\
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and\ \citenamefont {Gill}}]{Barca_2018b}%
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\bibnamefont {Barca}}, \bibinfo {author} {\bibfnamefont {A.~T.~B.}\
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\bibnamefont {Gilbert}}, \ and\ \bibinfo {author} {\bibfnamefont {P.~M.~W.}\
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\bibnamefont {Gill}},\ }\href {\doibase 10.1021/acs.jctc.7b00963} {\bibfield
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{journal} {\bibinfo {journal} {J. Chem. Theory. Comput.}\ }\textbf {\bibinfo
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{volume} {14}},\ \bibinfo {pages} {9} (\bibinfo {year}
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{2018}{\natexlab{b}})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Lee}\ \emph {et~al.}(2019)\citenamefont {Lee},
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\citenamefont {Small},\ and\ \citenamefont {Head-Gordon}}]{Lee_2019}%
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@ -1,13 +1,49 @@
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%% This BibTeX bibliography file was created using BibDesk.
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%% http://bibdesk.sourceforge.net/
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%% Created for Pierre-Francois Loos at 2020-12-04 17:07:40 +0100
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%% Created for Pierre-Francois Loos at 2020-12-05 15:45:56 +0100
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%% Saved with string encoding Unicode (UTF-8)
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@article{Barca_2014,
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author = {G. M. J. Barca and A. T. B. Gilbert and P. M. W. Gill},
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date-added = {2020-12-05 15:45:52 +0100},
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date-modified = {2020-12-05 15:45:52 +0100},
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doi = {10.1063/1.4896182},
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journal = {J. Chem. Phys.},
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pages = {111104},
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title = {{Hartree--Fock} description of excited states of {H2}},
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volume = {141},
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year = {2014},
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Bdsk-Url-1 = {https://doi.org/10.1063/1.4896182}}
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@article{Barca_2018a,
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author = {Barca, Giuseppe M. J. and Gilbert, Andrew T. B. and Gill, Peter M. W.},
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date-added = {2020-12-05 15:43:57 +0100},
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date-modified = {2020-12-05 15:44:07 +0100},
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doi = {10.1021/acs.jctc.7b00994},
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journal = {J. Chem. Theory. Comput.},
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pages = {1501-1509},
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title = {Simple {{Models}} for {{Difficult Electronic Excitations}}},
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volume = {14},
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year = {2018},
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Bdsk-Url-1 = {https://doi.org/10.1021/acs.jctc.7b00994}}
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@article{Barca_2018b,
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author = {Barca, Giuseppe M. J. and Gilbert, Andrew T. B. and Gill, Peter M. W.},
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date-added = {2020-12-05 15:43:57 +0100},
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date-modified = {2020-12-05 15:44:19 +0100},
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doi = {10.1021/acs.jctc.7b00963},
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journal = {J. Chem. Theory. Comput.},
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pages = {9-13},
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title = {Excitation {{Number}}: {{Characterizing Multiply Excited States}}},
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volume = {14},
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year = {2018},
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Bdsk-Url-1 = {https://doi.org/10.1021/acs.jctc.7b00963}}
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@article{Hirata_2017,
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author = {Hirata, So and Doran, Alexander E. and Knowles, Peter J. and Ortiz, J. V.},
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date-added = {2020-12-04 17:07:30 +0100},
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@ -1865,7 +1865,7 @@ Beyond intuitive heuristics, it is not clear why these alternative orbitals prov
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and a detailed investigation of their MP energy function in the complex plane is therefore bound to provide
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fascinating insights.
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Furthermore, the convergence properties of the excited-state MP series using orbital-optimised higher energy
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HF solutions\cite{Gilbert_2008} remains entirely unexplored.\cite{Lee_2019,CarterFenk_2020}
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HF solutions\cite{Gilbert_2008,Barca_2014,Barca_2018a,Barca_2018b} remains entirely unexplored.\cite{Lee_2019,CarterFenk_2020}
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% HUBBARD
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Finally, the physical concepts and mathematical tools presented in this manuscript have been illustrated
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@ -1875,7 +1875,7 @@ for understanding the subtle features of perturbation theory in the complex plan
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such as Kohn-Sham DFT, \cite{Carrascal_2015,Cohen_2016} linear-response theory,\cite{Carrascal_2018}
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many-body perturbation theory,\cite{Romaniello_2009,Romaniello_2012,DiSabatino_2015,Hirata_2015,Tarantino_2017,Olevano_2019}
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ensemble DFT, \cite{Deur_2017,Deur_2018,Senjean_2018,Sagredo_2018,Fromager_2020} thermal DFT,\cite{Smith_2016,Smith_2018}
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coupled cluster theory,\cite{Stein_2014,Henderson_2015,Shepherd_2016} and many more.
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\titou{wave function methods},\cite{Stein_2014,Henderson_2015,Shepherd_2016} and many more.
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In particular, we have shown that the Hubbard dimer contains sufficient flexibility to describe
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the effects of symmetry breaking, the MP critical point, and resummation techniques, in contrast to the more
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minimalistic models considered previously.
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