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Emmanuel Giner 2020-03-22 21:14:58 +01:00
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\bibcite{JanHenScu-JCP-09}{{38}{2009}{{Janesko, Henderson,\ and\ Scuseria}}{{}}}
\bibcite{TouZhuSavJanAng-JCP-11}{{39}{2011}{{Toulouse\ \emph {et~al.}}}{{Toulouse, Zhu, Savin, Jansen,\ and\ \'Angy\'an}}}
\bibcite{MusReiAngTou-JCP-15}{{40}{2015}{{Mussard\ \emph {et~al.}}}{{Mussard, Reinhardt, \'Angy\'an,\ and\ Toulouse}}}
\bibcite{KalTou-JCP-18}{{41}{2018}{{Kalai\ and\ Toulouse}}{{}}}
\bibcite{KalMusTou-JCP-19}{{42}{2019}{{Kalai, Mussard,\ and\ Toulouse}}{{}}}
\bibcite{LeiStoWerSav-CPL-97}{{43}{1997}{{Leininger\ \emph {et~al.}}}{{Leininger, Stoll, Werner,\ and\ Savin}}}
\bibcite{FroTouJen-JCP-07}{{44}{2007}{{Fromager, Toulouse,\ and\ Jensen}}{{}}}
\bibcite{FroCimJen-PRA-10}{{45}{2010}{{Fromager, Cimiraglia,\ and\ Jensen}}{{}}}
\bibcite{HedKneKieJenRei-JCP-15}{{46}{2015}{{Hedeg{\r a}rd\ \emph {et~al.}}}{{Hedeg{\r a}rd, Knecht, Kielberg, Jensen,\ and\ Reiher}}}
\bibcite{HedTouJen-JCP-18}{{47}{2018}{{Hedeg{\r a}rd, Toulouse,\ and\ Jensen}}{{}}}
\bibcite{FerGinTou-JCP-18}{{48}{2019}{{Fert{\'e}, Giner,\ and\ Toulouse}}{{}}}
\bibcite{MusTou-MP-17}{{49}{2017}{{Mussard\ and\ Toulouse}}{{}}}
\bibcite{GinPraFerAssSavTou-JCP-18}{{50}{2018}{{Giner\ \emph {et~al.}}}{{Giner, Pradines, Fert\'e, Assaraf, Savin,\ and\ Toulouse}}}
\bibcite{LooPraSceTouGin-JCPL-19}{{51}{2019{}}{{Loos\ \emph {et~al.}}}{{Loos, Pradines, Scemama, Toulouse,\ and\ Giner}}}
\bibcite{GinSceTouLoo-JCP-19}{{52}{2019}{{Giner\ \emph {et~al.}}}{{Giner, Scemama, Toulouse,\ and\ Loos}}}
\bibcite{LooPraSceGinTou-JCTC-20}{{53}{2020}{{Loos\ \emph {et~al.}}}{{Loos, Pradines, Scemama, Giner,\ and\ Toulouse}}}
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\bibcite{Lev-PNAS-79}{{54}{1979}{{Levy}}{{}}}
\bibcite{Lie-IJQC-83}{{55}{1983}{{Lieb}}{{}}}
\bibcite{Kat-CPAM-57}{{56}{1957}{{Kato}}{{}}}
\bibcite{TouGorSav-TCA-05}{{57}{2005}{{Toulouse, Gori-Giorgi,\ and\ Savin}}{{}}}
\bibcite{Tou-THESIS-05}{{58}{2005}{{Toulouse}}{{}}}
\bibcite{PerBurErn-PRL-96}{{59}{1996}{{Perdew, Burke,\ and\ Ernzerhof}}{{}}}
\bibcite{PazMorGorBac-PRB-06}{{60}{2006}{{Paziani\ \emph {et~al.}}}{{Paziani, Moroni, Gori-Giorgi,\ and\ Bachelet}}}
\bibcite{CarTruGag-JPCA-17}{{61}{2017}{{Carlson, Truhlar,\ and\ Gagliardi}}{{}}}
\bibcite{GritMeePer-PRA-18}{{62}{2018}{{Gritsenko, van Meer,\ and\ Pernal}}{{}}}
\bibcite{MosSan-PRA-91}{{63}{1991}{{Moscard\'o\ and\ San-Fabi\'an}}{{}}}
\bibcite{BecSavSto-TCA-95}{{64}{1995}{{Becke, Savin,\ and\ Stoll}}{{}}}
\bibcite{Sav-INC-96a}{{65}{1995}{{Savin}}{{}}}
\bibcite{Sav-INC-96}{{66}{1996}{{Savin}}{{}}}
\bibcite{MieStoSav-MP-97}{{67}{1997}{{Miehlich, Stoll,\ and\ Savin}}{{}}}
\bibcite{TakYamYam-CPL-02}{{68}{2002}{{Takeda, Yamanaka,\ and\ Yamaguchi}}{{}}}
\bibcite{TakYamYam-IJQC-04}{{69}{2004}{{Takeda, Yamanaka,\ and\ Yamaguchi}}{{}}}
\bibcite{GraCre-MP-05}{{70}{2005}{{Gr\"afenstein\ and\ Cremer}}{{}}}
\bibcite{TsuScuSav-JCP-10}{{71}{2010}{{Tsuchimochi, Scuseria,\ and\ Savin}}{{}}}
\bibcite{LimCarLuoMaOlsTruGag-JCTC-14}{{72}{2014}{{{G. Li Manni, R. K. Carlson, S. Luo, D. Ma, J. Olsen, D. G. Truhlar, and L. Gagliardi}}}{{}}}
\bibcite{GarBulHenScu-JCP-15}{{73}{2015{}}{{Garza\ \emph {et~al.}}}{{Garza, Bulik, Henderson,\ and\ Scuseria}}}
\bibcite{GarBulHenScu-PCCP-15}{{74}{2015{}}{{Garza\ \emph {et~al.}}}{{Garza, Bulik, Henderson,\ and\ Scuseria}}}
\bibcite{CarTruGag-JCTC-15}{{75}{2015}{{Carlson, Truhlar,\ and\ Gagliardi}}{{}}}
\bibcite{PerSavBur-PRA-95}{{76}{1995}{{Perdew, Savin,\ and\ Burke}}{{}}}
\bibcite{StaDav-CPL-01}{{77}{2001}{{Staroverov\ and\ Davidson}}{{}}}
\bibcite{h10_prx}{{78}{2017}{{Motta\ \emph {et~al.}}}{{Motta, Ceperley, Chan, Gomez, Gull, Guo, Jim\'enez-Hoyos, Lan, Li, Ma, Millis, Prokof'ev, Ray, Scuseria, Sorella, Stoudenmire, Sun, Tupitsyn, White, Zgid,\ and\ Zhang}}}
\bibcite{BytLaiRuedenJCP05}{{79}{2005}{{Bytautas\ and\ Ruedenberg}}{{}}}
\bibcite{BytNagGorRue-JCP-07}{{80}{2007}{{Bytautas\ \emph {et~al.}}}{{Bytautas, Nagata, Gordon,\ and\ Ruedenberg}}}
\bibcite{KenDunHar-JCP-92}{{81}{1992}{{Kendall, Dunning,\ and\ Harrison}}{{}}}
\bibcite{HolUmrSha-JCP-17}{{82}{2017}{{Holmes, Umrigar,\ and\ Sharma}}{{}}}
\bibcite{SceGarCafLoo-JCTC-18}{{83}{2018{}}{{Scemama\ \emph {et~al.}}}{{Scemama, Garniron, Caffarel,\ and\ Loos}}}
\bibcite{LooSceBloGarCafJac-JCTC-18}{{84}{2018}{{Loos\ \emph {et~al.}}}{{Loos, Scemama, Blondel, Garniron, Caffarel,\ and\ Jacquemin}}}
\bibcite{SceBenJacCafLoo-JCP-18}{{85}{2018{}}{{Scemama\ \emph {et~al.}}}{{Scemama, Benali, Jacquemin, Caffarel,\ and\ Loos}}}
\bibcite{LooBogSceCafJac-JCTC-19}{{86}{2019{}}{{Loos\ \emph {et~al.}}}{{Loos, Boggio-Pasqua, Scemama, Caffarel,\ and\ Jacquemin}}}
\bibcite{QP2}{{87}{2019}{{Garniron\ \emph {et~al.}}}{{Garniron, Gasperich, Applencourt, Benali, Fert{\'e}, Paquier, Pradines, Assaraf, Reinhardt, Toulouse, Barbaresco, Renon, David, Malrieu, V{\'e}ril, Caffarel, Loos, Giner,\ and\ Scemama}}}
\bibcite{Dun-JCP-89}{{88}{1989}{{Dunning}}{{}}}
\bibcite{LieCle-JCP-74a}{{89}{1974}{{Lie\ and\ Clementi}}{{}}}
\bibcite{gamess}{{90}{2005}{{Gordon\ and\ Schmidt}}{{}}}
\bibcite{HibHumByrLen-JCP-94}{{91}{1994}{{{P. C. Hiberty S. Humbel, C. P. Byrman and J. H. van Lenthe}}}{{}}}
\bibcite{Sav-CP-09}{{92}{2009}{{Savin}}{{}}}
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\BOOKMARK [0][-]{section*.2}{A basis-set error correction based on density-functional theory for strongly correlated molecular systems}{}% 2
\BOOKMARK [1][-]{section*.1}{Abstract}{section*.2}% 1
\BOOKMARK [1][-]{section*.3}{Introduction}{section*.2}% 3
\BOOKMARK [1][-]{section*.4}{Theory}{section*.2}% 4
\BOOKMARK [2][-]{section*.5}{Basic theory}{section*.4}% 5
\BOOKMARK [2][-]{section*.6}{Effective interaction in a finite basis}{section*.4}% 6
\BOOKMARK [2][-]{section*.7}{Local range-separation function}{section*.4}% 7
\BOOKMARK [3][-]{section*.8}{General definition}{section*.7}% 8
\BOOKMARK [3][-]{section*.9}{Frozen-core approximation}{section*.7}% 9
\BOOKMARK [2][-]{section*.10}{General form of the complementary functional}{section*.4}% 10
\BOOKMARK [3][-]{section*.11}{Generic approximate form}{section*.10}% 11
\BOOKMARK [3][-]{section*.12}{Two limits where the complementary functional vanishes}{section*.10}% 12
\BOOKMARK [2][-]{section*.13}{Requirements on the complementary functional for strong correlation}{section*.4}% 13
\BOOKMARK [3][-]{section*.14}{Spin-multiplet degeneracy}{section*.13}% 14
\BOOKMARK [3][-]{section*.15}{Size consistency}{section*.13}% 15
\BOOKMARK [2][-]{section*.16}{Actual approximations used for the complementary functional}{section*.4}% 16
\BOOKMARK [1][-]{section*.17}{Results}{section*.2}% 17
\BOOKMARK [2][-]{section*.18}{Computational details}{section*.17}% 18
\BOOKMARK [2][-]{section*.19}{H10 chain}{section*.17}% 19
\BOOKMARK [2][-]{section*.20}{Dissociation of diatomics}{section*.17}% 20
\BOOKMARK [1][-]{section*.21}{Conclusion}{section*.2}% 21
\BOOKMARK [1][-]{section*.22}{Size consistency of the basis-set correction}{section*.2}% 22
\BOOKMARK [2][-]{section*.23}{Sufficient condition for size consistency}{section*.22}% 23
\BOOKMARK [2][-]{section*.24}{Intensivity of the on-top pair density and the local range-separation function}{section*.22}% 24
\BOOKMARK [1][-]{section*.25}{Computational cost of the basis-set correction for a CASSCF wave function}{section*.2}% 25
\BOOKMARK [2][-]{section*.26}{Computation of the on-top pair density}{section*.25}% 26
\BOOKMARK [2][-]{section*.27}{Computation of the local range-separation function}{section*.25}% 27

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