Added meshes and cylinders to figures, and sorted UMP axis labels
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{journal} {Nucl. Phys.}\ }\textbf {\bibinfo {volume} {62}},\ \bibinfo {pages}
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{journal} {Nucl. Phys.}\ }\textbf {\bibinfo {volume} {62}},\ \bibinfo {pages}
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{188} (\bibinfo {year} {1965})}\BibitemShut {NoStop}%
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{188} (\bibinfo {year} {1965})}\BibitemShut {NoStop}%
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\bibitem [{\citenamefont {Cejnar}\ and\ \citenamefont
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\bibitem [{\citenamefont {Cejnar}\ and\ \citenamefont
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{Jolie}(2000)}]{Cejnar_2000a}%
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{Jolie}(2000)}]{Cejnar_2000}%
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\BibitemOpen
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\BibitemOpen
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {P.}~\bibnamefont
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\bibfield {author} {\bibinfo {author} {\bibfnamefont {P.}~\bibnamefont
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{Cejnar}}\ and\ \bibinfo {author} {\bibfnamefont {J.}~\bibnamefont {Jolie}},\
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{Cejnar}}\ and\ \bibinfo {author} {\bibfnamefont {J.}~\bibnamefont {Jolie}},\
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This is BibTeX, Version 0.99d (TeX Live 2020/Arch Linux)
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This is BibTeX, Version 0.99d (TeX Live 2016)
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Capacity: max_strings=100000, hash_size=100000, hash_prime=85009
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Capacity: max_strings=35307, hash_size=35307, hash_prime=30011
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The top-level auxiliary file: EPAWTFT.aux
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The top-level auxiliary file: EPAWTFT.aux
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The style file: apsrev4-1.bst
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The style file: apsrev4-1.bst
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Reallocated singl_function (elt_size=8) to 100 items from 50.
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Reallocated singl_function (elt_size=8) to 100 items from 50.
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Database file #1: EPAWTFTNotes.bib
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Database file #1: EPAWTFTNotes.bib
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Database file #2: EPAWTFT.bib
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Database file #2: EPAWTFT.bib
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control{REVTEX41Control}, control.key{N/A}, control.author{N/A}, control.editor{N/A}, control.title{N/A}, control.pages{N/A}, control.year{N/A}, control.eprint{N/A},
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control{apsrev41Control}, control.key{N/A}, control.author{08}, control.editor{1}, control.title{}, control.pages{0}, control.year{1}, control.eprint{N/A},
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control{apsrev41Control}, control.key{N/A}, control.author{08}, control.editor{1}, control.title{}, control.pages{0}, control.year{1}, control.eprint{N/A},
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Reallocated singl_function (elt_size=8) to 100 items from 50.
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Reallocated singl_function (elt_size=4) to 100 items from 50.
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merlin.mbs apsrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked
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merlin.mbs apsrev4-1.bst 2010-07-25 4.21a (PWD, AO, DPC) hacked
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You've used 84 entries,
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and the built_in function-call counts, 82528 in all, are:
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and the built_in function-call counts, 82528 in all, are:
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\affiliation{\LCPQ}
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\affiliation{\LCPQ}
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\author{Hugh G.~A.~\surname{Burton}}
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\author{Hugh G.~A.~\surname{Burton}}
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%\affiliation{\UCAM}
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%\affiliation{\UCAM}
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\email{hugh.burton@chem.ox.ac.uk}
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\affiliation{\UOX}
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\affiliation{\UOX}
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%\author{Paola \surname{Gori-Giorgi}}
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%\author{Paola \surname{Gori-Giorgi}}
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%\affiliation{\VU}
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%\affiliation{\VU}
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@ -483,11 +484,12 @@ A closed-form expression for the ground-state energy can be obtained but it is c
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%%% FIG 3 %%%
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%%% FIG 3 %%%
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\begin{figure*}
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\begin{figure*}
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\includegraphics[height=0.25\textwidth]{fig3a}
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\centering
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\includegraphics[height=0.23\textwidth]{fig3a}
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\hspace{0.05\textwidth}
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\hspace{0.05\textwidth}
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\includegraphics[height=0.25\textwidth]{fig3b}
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\includegraphics[height=0.23\textwidth]{fig3b}
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\hspace{0.05\textwidth}
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\hspace{0.05\textwidth}
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\includegraphics[height=0.25\textwidth]{fig3c}
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\includegraphics[height=0.23\textwidth]{fig3c}
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\caption{
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\caption{
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Convergence of the URMP series as a function of the perturbation order $n$ energies for the Hubbard dimer at $U/t = 3$ and $7$.
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Convergence of the URMP series as a function of the perturbation order $n$ energies for the Hubbard dimer at $U/t = 3$ and $7$.
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The Riemann surfaces of the FCI energies are also represented for these two values of $U/t$.
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The Riemann surfaces of the FCI energies are also represented for these two values of $U/t$.
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@ -892,7 +894,7 @@ We have found that the $\beta$ singularities modeling the ionization phenomenon
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{acknowledgements}
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\begin{acknowledgements}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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This project has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (Grant agreement No.~863481)
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This project has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (Grant agreement No.~863481).
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HGAB gratefully acknowledges New College, Oxford for funding through the Astor Junior Research Fellowship.
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HGAB gratefully acknowledges New College, Oxford for funding through the Astor Junior Research Fellowship.
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\end{acknowledgements}
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\end{acknowledgements}
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