Variational description of the ground state of the repulsive two-dimensional Hubbard model in terms of nonorthogonal symmetry-projected Slater determinants

Rodríguez-Guzmán, R.; Jiménez-Hoyos, Carlos A.; Scuseria, Gustavo E.

doi:10.1103/PhysRevB.90.195110

Title: Variational description of the ground state of the repulsive two-dimensional Hubbard model in terms of nonorthogonal symmetry-projected Slater determinants

Journal Article · Fri Nov 07 00:00:00 EST 2014 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PhysRevB.90.195110· OSTI ID:1565362

Rodríguez-Guzmán, R. ^[1]; Jiménez-Hoyos, Carlos A. ^[2]; Scuseria, Gustavo E. ^[3]

Rice Univ., Houston, TX (United States). Dept. of Chemistry; Rice Univ., Houston, TX (United States). Dept. of Physics and Astronomy
Rice Univ., Houston, TX (United States). Dept. of Chemistry
Rice Univ., Houston, TX (United States). Dept. of Chemistry; Rice Univ., Houston, TX (United States). Dept. of Physics and Astronomy

The few determinant (FED) methodology, introduced in our previous works for 1D lattices, is here adapted for the repulsive two-dimensional Hubbard model at half-filling and with finite doping fractions. Within this configuration mixing scheme, a given ground state with well defined spin and space group quantum numbers, is expanded in terms of a nonorthogonal symmetry-projected basis determined through chains of variation-after projection calculations. The results obtained for the ground state and correlation energies of half-filled and doped 4×4, 6×6, 8×8, and 10×10 lattices, as well as momentum distributions and spin-spin correlation functions in small lattices, compare well with those obtained using other state-of-the-art approximations. The structure of the intrinsic determinants resulting from the variational strategy is interpreted in terms of defects that encode information on the basic units of quantum fluctuations in the considered 2D systems. The varying nature of the underlying quantum fluctuations, reflected in a transition to a stripe regime for increasing onsite repulsions, is discussed using the intrinsic determinants belonging to a 16×4 lattice with 56 electrons. Such a transition is further illustrated by computing spin-spin and charge-charge correlation functions with the corresponding multireference FED wave functions. In good agreement with previous studies, the analysis of the pairing correlation functions reveals a weak enhancement of the extended s-wave and $$d_x2-_y2$$ pairing modes. Finally, given the quality of results here reported together with those previously obtained for 1D lattices and the parallelization properties of the FED scheme, we believe that symmetry projection techniques are very well suited for building ground state wave functions of correlated electronic systems, regardless of their dimensionality.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Univ. of California, Oakland, CA (United States); Rice Univ., Houston, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC02-05CH11231; SC0001474; FG02-09ER16053

OSTI ID:: 1565362

Alternate ID(s):: OSTI ID: 1179903

Journal Information:: Physical Review. B, Condensed Matter and Materials Physics, Vol. 90, Issue 19; ISSN 1098-0121

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 11 works

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References (100)

Microscopic description of fission in uranium isotopes with the Gogny energy density functional Rodríguez-Guzmán, R.; Robledo, L. M. Physical Review C, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRevC.89.054310	journal	May 2014
Theory of Resonating Quantum Fluctuations in a Fermion System: Resonating Hartree-Fock Approximation Fukutome, H. Progress of Theoretical Physics, Vol. 80, Issue 3 https://doi.org/10.1143/PTP.80.417	journal	September 1988
On the limited memory BFGS method for large scale optimization Liu, Dong C.; Nocedal, Jorge Mathematical Programming, Vol. 45, Issue 1-3 https://doi.org/10.1007/BF01589116	journal	August 1989
Many-body physics with ultracold gases Bloch, Immanuel; Dalibard, Jean; Zwerger, Wilhelm Reviews of Modern Physics, Vol. 80, Issue 3 https://doi.org/10.1103/RevModPhys.80.885	journal	July 2008
Quantum Fluctuations due to Spinons, Polarons, and Stripes in the Two-Dimensional Hubbard Model Tomita, Norikazu; Watanabe, Shuji Physical Review Letters, Vol. 103, Issue 11 https://doi.org/10.1103/PhysRevLett.103.116401	journal	September 2009
Spin and Charge Order in the Doped Hubbard Model: Long-Wavelength Collective Modes Chang, Chia-Chen; Zhang, Shiwei Physical Review Letters, Vol. 104, Issue 11 https://doi.org/10.1103/PhysRevLett.104.116402	journal	March 2010
Theory of Excitations in a Fermion System with Large Quantum Fluctuations: Resonating Random Phase Approximation Fukutome, H. Progress of Theoretical Physics, Vol. 81, Issue 2 https://doi.org/10.1143/PTP.81.342	journal	February 1989
Many-body wave functions approximated by the superposition of spin-projected nonorthogonal Slater determinants in the resonating Hartree-Fock method Tomita, Norikazu Physical Review B, Vol. 69, Issue 4 https://doi.org/10.1103/PhysRevB.69.045110	journal	January 2004
Nuclear structure theory in spin- and number-conserving quasiparticle configuration spaces: General formalism Schmid, K. W.; Grümmer, F.; Faessler, Amand Physical Review C, Vol. 29, Issue 1 https://doi.org/10.1103/PhysRevC.29.291	journal	January 1984
Density Matrix Embedding: A Simple Alternative to Dynamical Mean-Field Theory Knizia, Gerald; Chan, Garnet Kin-Lic Physical Review Letters, Vol. 109, Issue 18 https://doi.org/10.1103/PhysRevLett.109.186404	journal	November 2012
Numerical study of the two-dimensional Hubbard model White, S. R.; Scalapino, D. J.; Sugar, R. L. Physical Review B, Vol. 40, Issue 1 https://doi.org/10.1103/PhysRevB.40.506	journal	July 1989
Two-Dimensional Hubbard Model –Metal Insulator Transition Studied by Monte Carlo Calculation– Furukawa, Nobuo; Imada, Masatoshi Journal of the Physical Society of Japan, Vol. 61, Issue 9 https://doi.org/10.1143/JPSJ.61.3331	journal	September 1992
Iron-Based Layered Superconductor La[O _1- _x F _x ]FeAs ( x = 0.05−0.12) with T _c = 26 K Kamihara, Yoichi; Watanabe, Takumi; Hirano, Masahiro Journal of the American Chemical Society, Vol. 130, Issue 11 https://doi.org/10.1021/ja800073m	journal	March 2008
Multi-component symmetry-projected approach for molecular ground state correlations Jiménez-Hoyos, Carlos A.; Rodríguez-Guzmán, R.; Scuseria, Gustavo E. The Journal of Chemical Physics, Vol. 139, Issue 20 https://doi.org/10.1063/1.4832476	journal	November 2013
The One-Dimensional Hubbard Model Essler, Fabian H. L.; Frahm, Holger; Göhmann, Frank Cambridge University Press https://doi.org/10.1017/CBO9780511534843	book	January 2009
$N$ -electron Slater determinants from nonunitary canonical transformations of fermion operators Jiménez-Hoyos, Carlos A.; Rodríguez-Guzmán, R.; Scuseria, Gustavo E. Physical Review A, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevA.86.052102	journal	November 2012
Vanishing spin gap in a competing spin-liquid phase in the kagome Heisenberg antiferromagnet Iqbal, Yasir; Poilblanc, Didier; Becca, Federico Physical Review B, Vol. 89, Issue 2 https://doi.org/10.1103/PhysRevB.89.020407	journal	January 2014
Fermionic projected entangled pair states Kraus, Christina V.; Schuch, Norbert; Verstraete, Frank Physical Review A, Vol. 81, Issue 5 https://doi.org/10.1103/PhysRevA.81.052338	journal	May 2010
Spherical Hartree-Fock calculations with linear-momentum projection before the variation: Part II: Spectral functions and spectroscopic factors Rodríguez-Guzmán, R. R.; Schmid, K. W. The European Physical Journal A, Vol. 19, Issue 1 https://doi.org/10.1140/epja/i2003-10109-0	journal	January 2004
Electron correlation in solids via density embedding theory Bulik, Ireneusz W.; Chen, Weibing; Scuseria, Gustavo E. The Journal of Chemical Physics, Vol. 141, Issue 5 https://doi.org/10.1063/1.4891861	journal	August 2014
Density matrix formulation for quantum renormalization groups White, Steven R. Physical Review Letters, Vol. 69, Issue 19 https://doi.org/10.1103/PhysRevLett.69.2863	journal	November 1992
Simulation of two-dimensional quantum systems using a tree tensor network that exploits the entropic area law Tagliacozzo, L.; Evenbly, G.; Vidal, G. Physical Review B, Vol. 80, Issue 23 https://doi.org/10.1103/PhysRevB.80.235127	journal	December 2009
Correlations beyond the mean field in magnesium isotopes: angular momentum projection and configuration mixing Rodríguez-Guzmán, R.; Egido, J. L.; Robledo, L. M. Nuclear Physics A, Vol. 709, Issue 1-4 https://doi.org/10.1016/S0375-9474(02)01019-9	journal	October 2002
Two-dimensional Hubbard model: Numerical simulation study Hirsch, J. E. Physical Review B, Vol. 31, Issue 7 https://doi.org/10.1103/PhysRevB.31.4403	journal	April 1985
Self-energy-functional approach to systems of correlated electrons Potthoff, M. The European Physical Journal B - Condensed Matter, Vol. 32, Issue 4 https://doi.org/10.1140/epjb/e2003-00121-8	journal	April 2003
Resonating Hartree-Fock Theory of the One DimensionalHubbard Model. I.Quantum Fluctuations by SDW Solitons and Breathers Yamamoto, Shoji; Takahashi, Akira; Fukutome, Hideo Journal of the Physical Society of Japan, Vol. 60, Issue 10 https://doi.org/10.1143/JPSJ.60.3433	journal	October 1991
The electronic properties of graphene Castro Neto, A. H.; Guinea, F.; Peres, N. M. R. Reviews of Modern Physics, Vol. 81, Issue 1, p. 109-162 https://doi.org/10.1103/RevModPhys.81.109	journal	January 2009
Resonating Hartree-Fock Theory of the One Dimensional Hubbard Model. II. Breather Fluctuations in the Strong Correlation Regime Yamamoto, Shoji; Fukutome, Hideo Journal of the Physical Society of Japan, Vol. 61, Issue 9 https://doi.org/10.1143/JPSJ.61.3209	journal	September 1992
Potential energy curves for Mo ₂ : multi-component symmetry-projected Hartree–Fock and beyond Bytautas, Laimutis; Jiménez-Hoyos, Carlos A.; Rodríguez-Guzmán, R. Molecular Physics, Vol. 112, Issue 14 https://doi.org/10.1080/00268976.2013.874623	journal	January 2014
The Resonating Valence Bond State in La2CuO4 and Superconductivity Anderson, P. W. Science, Vol. 235, Issue 4793 https://doi.org/10.1126/science.235.4793.1196	journal	March 1987
Dynamical cluster approximation employing the fluctuation exchange approximation as a cluster solver Aryanpour, K.; Hettler, M. H.; Jarrell, M. Physical Review B, Vol. 67, Issue 8 https://doi.org/10.1103/PhysRevB.67.085101	journal	February 2003
On the use of general symmetry-projected Hartree–Fock–Bogoliubov configurations in variational approaches to the nuclear many-body problem Schmid, K. W. Progress in Particle and Nuclear Physics, Vol. 52, Issue 2 https://doi.org/10.1016/j.ppnp.2004.02.001	journal	April 2004
Direct evidence for a gapless $Z_{2}$ spin liquid by frustrating Néel antiferromagnetism Hu, Wen-Jun; Becca, Federico; Parola, Alberto Physical Review B, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevB.88.060402	journal	August 2013
Phase diagram of a frustrated Heisenberg antiferromagnet on the honeycomb lattice: The $J_{1}$ - $J_{2}$ - $J_{3}$ model Li, P. H. Y.; Bishop, R. F.; Farnell, D. J. J. Physical Review B, Vol. 86, Issue 14 https://doi.org/10.1103/PhysRevB.86.144404	journal	October 2012
Complexity in Strongly Correlated Electronic Systems Dagotto, E. Science, Vol. 309, Issue 5732 https://doi.org/10.1126/science.1107559	journal	July 2005
Symmetry-projected variational approach to the one-dimensional Hubbard model Schmid, K. W.; Dahm, T.; Margueron, J. Physical Review B, Vol. 72, Issue 8 https://doi.org/10.1103/PhysRevB.72.085116	journal	August 2005
The density-matrix renormalization group Schollwöck, U. Reviews of Modern Physics, Vol. 77, Issue 1 https://doi.org/10.1103/RevModPhys.77.259	journal	April 2005
Symmetry in auxiliary-field quantum Monte Carlo calculations Shi, Hao; Zhang, Shiwei Physical Review B, Vol. 88, Issue 12 https://doi.org/10.1103/PhysRevB.88.125132	journal	September 2013
Bethe-ansatz wave function, momentum distribution, and spin correlation in the one-dimensional strongly correlated Hubbard model Ogata, Masao; Shiba, Hiroyuki Physical Review B, Vol. 41, Issue 4 https://doi.org/10.1103/PhysRevB.41.2326	journal	February 1990
Antiferromagnetism in the Two-Dimensional Hubbard Model Hirsch, J. E.; Tang, S. Physical Review Letters, Vol. 62, Issue 5 https://doi.org/10.1103/PhysRevLett.62.591	journal	January 1989
Correlated electrons in high-temperature superconductors Dagotto, Elbio Reviews of Modern Physics, Vol. 66, Issue 3 https://doi.org/10.1103/RevModPhys.66.763	journal	July 1994
Intermediate and spin-liquid phase of the half-filled honeycomb Hubbard model Chen, Qiaoni; Booth, George H.; Sharma, Sandeep Physical Review B, Vol. 89, Issue 16 https://doi.org/10.1103/PhysRevB.89.165134	journal	April 2014
Spherical Hartree-Fock calculations with linear-momentum projection before the variation: Part I: Energies, form factors, charge densities and mathematical sum rules Rodríguez-Guzmán, R. R.; Schmid, K. W. The European Physical Journal A, Vol. 19, Issue 1 https://doi.org/10.1140/epja/i2003-10108-1	journal	January 2004
Correlations in the two-dimensional Hubbard model Moreo, A.; Scalapino, D. J. Physical Review B, Vol. 43, Issue 10 https://doi.org/10.1103/PhysRevB.43.8211	journal	April 1991
Optical conductivity of the Hubbard and t - J models Moreo, Adriana; Dagotto, Elbio Physical Review B, Vol. 42, Issue 7 https://doi.org/10.1103/PhysRevB.42.4786	journal	September 1990
Exploring Copper Oxide Cores Using the Projected Hartree–Fock Method Samanta, Kousik; Jiménez-Hoyos, Carlos A.; Scuseria, Gustavo E. Journal of Chemical Theory and Computation, Vol. 8, Issue 12 https://doi.org/10.1021/ct300689e	journal	September 2012
Excited electronic states from a variational approach based on symmetry-projected Hartree–Fock configurations Jiménez-Hoyos, Carlos A.; Rodríguez-Guzmán, R.; Scuseria, Gustavo E. The Journal of Chemical Physics, Vol. 139, Issue 22 https://doi.org/10.1063/1.4840097	journal	December 2013
Symmetry-projected variational approach for ground and excited states of the two-dimensional Hubbard model Rodríguez-Guzmán, R.; Schmid, K. W.; Jiménez-Hoyos, Carlos A. Physical Review B, Vol. 85, Issue 24 https://doi.org/10.1103/PhysRevB.85.245130	journal	June 2012
Distinct spinon and holon dispersions in photoemission spectral functions from one-dimensional SrCuO2 Kim, B. J.; Koh, H.; Rotenberg, E. Nature Physics, Vol. 2, Issue 6 https://doi.org/10.1038/nphys316	journal	May 2006
Pseudogaps in the 2D Hubbard Model Huscroft, C.; Jarrell, M.; Maier, Th. Physical Review Letters, Vol. 86, Issue 1 https://doi.org/10.1103/PhysRevLett.86.139	journal	January 2001
Multireference symmetry-projected variational approaches for ground and excited states of the one-dimensional Hubbard model Rodríguez-Guzmán, R.; Jiménez-Hoyos, Carlos A.; Schutski, R. Physical Review B, Vol. 87, Issue 23 https://doi.org/10.1103/PhysRevB.87.235129	journal	June 2013
Zur Theorie der Metalle: I. Eigenwerte und Eigenfunktionen der linearen Atomkette Bethe, H. Zeitschrift f�r Physik, Vol. 71, Issue 3-4 https://doi.org/10.1007/BF01341708	journal	March 1931
Group-theoretical and resonating Hartree-Fock studies for spin fluctuations in two-dimensional Hubbard model on triangular lattice Satoh, Fumikazu; Ozaki, Masa-aki; Maruyama, Takaaki Physical Review B, Vol. 84, Issue 24 https://doi.org/10.1103/PhysRevB.84.245101	journal	December 2011
Small amplitude vibrations in symmetry-projected quasi-particle mean fields Schmid, K. W.; Kyotoku, M.; Grümmer, F. Annals of Physics, Vol. 190, Issue 1 https://doi.org/10.1016/0003-4916(89)90264-9	journal	February 1989
Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension Lieb, Elliott H.; Wu, F. Y. Physical Review Letters, Vol. 20, Issue 25 https://doi.org/10.1103/PhysRevLett.20.1445	journal	June 1968
Density matrix embedding from broken symmetry lattice mean fields Bulik, Ireneusz W.; Scuseria, Gustavo E.; Dukelsky, Jorge Physical Review B, Vol. 89, Issue 3 https://doi.org/10.1103/PhysRevB.89.035140	journal	January 2014
Orbital Optimization in the Resonating Hartree-Fock Approximation and Its Application to the One Dimensional Hubbard Model Ikawa, Atsushi; Yamamoto, Shoji; Fukutome, Hideo Journal of the Physical Society of Japan, Vol. 62, Issue 5 https://doi.org/10.1143/JPSJ.62.1653	journal	May 1993
Generalized coherent states and some of their applications Perelomov, A. M. Soviet Physics Uspekhi, Vol. 20, Issue 9 https://doi.org/10.1070/PU1977v020n09ABEH005459	journal	September 1977
Static and dynamical properties of doped Hubbard clusters Dagotto, E.; Moreo, A.; Ortolani, F. Physical Review B, Vol. 45, Issue 18 https://doi.org/10.1103/PhysRevB.45.10741	journal	May 1992
Gaussian-Basis Monte Carlo Method for Numerical Study on Ground States of Itinerant and Strongly Correlated Electron Systems Aimi, Takeshi; Imada, Masatoshi Journal of the Physical Society of Japan, Vol. 76, Issue 8 https://doi.org/10.1143/JPSJ.76.084709	journal	August 2007
Quantum cluster theories Maier, Thomas; Jarrell, Mark; Pruschke, Thomas Reviews of Modern Physics, Vol. 77, Issue 3 https://doi.org/10.1103/RevModPhys.77.1027	journal	October 2005
Spin-Liquid Ground State of the S = 1/2 Kagome Heisenberg Antiferromagnet Yan, S.; Huse, D. A.; White, S. R. Science, Vol. 332, Issue 6034 https://doi.org/10.1126/science.1201080	journal	April 2011
Electron correlations in the two-dimensional Hubbard model: A group-theoretical and numerical study Fano, G.; Ortolani, F.; Parola, A. Physical Review B, Vol. 46, Issue 2 https://doi.org/10.1103/PhysRevB.46.1048	journal	July 1992
Exotic spin, charge and pairing correlations of the two-dimensional doped Hubbard model: A symmetry-entangled mean-field approach Juillet, O.; Frésard, R. Physical Review B, Vol. 87, Issue 11 https://doi.org/10.1103/PhysRevB.87.115136	journal	March 2013
Optical-conductivity properties of one-dimensional Hubbard rings: Repulsive- U and attractive- U cases Fye, R. M.; Martins, M. J.; Scalapino, D. J. Physical Review B, Vol. 45, Issue 13 https://doi.org/10.1103/PhysRevB.45.7311	journal	April 1992
Multireference symmetry-projected variational approximation for the ground state of the doped one-dimensional Hubbard model Rodríguez-Guzmán, R.; Jiménez-Hoyos, Carlos A.; Scuseria, Gustavo E. Physical Review B, Vol. 89, Issue 19 https://doi.org/10.1103/PhysRevB.89.195109	journal	May 2014
Giant thermoelectric Seebeck coefficient of a two-dimensional electron gas in SrTiO3 Ohta, Hiromichi; Kim, SungWng; Mune, Yoriko Nature Materials, Vol. 6, Issue 2 https://doi.org/10.1038/nmat1821	journal	January 2007
Optical Conductivity of the Half-Filled Hubbard Chain Jeckelmann, E.; Gebhard, F.; Essler, F. H. L. Physical Review Letters, Vol. 85, Issue 18 https://doi.org/10.1103/PhysRevLett.85.3910	journal	October 2000
Charge-spin separation and the spectral properties of Luttinger liquids Voit, Johannes Physical Review B, Vol. 47, Issue 11 https://doi.org/10.1103/PhysRevB.47.6740	journal	March 1993
Missing Quasiparticles and the Chemical Potential Puzzle in the Doping Evolution of the Cuprate Superconductors Shen, K. M.; Ronning, F.; Lu, D. H. Physical Review Letters, Vol. 93, Issue 26 https://doi.org/10.1103/PhysRevLett.93.267002	journal	December 2004
A cellular dynamical mean field theory approach to Mottness Stanescu, Tudor D.; Civelli, Marcello; Haule, Kristjan Annals of Physics, Vol. 321, Issue 7 https://doi.org/10.1016/j.aop.2006.03.009	journal	July 2006
The Density Matrix Renormalization Group in Quantum Chemistry Chan, Garnet Kin-Lic; Sharma, Sandeep Annual Review of Physical Chemistry, Vol. 62, Issue 1 https://doi.org/10.1146/annurev-physchem-032210-103338	journal	May 2011
Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice Schneider, U.; Hackermuller, L.; Will, S. Science, Vol. 322, Issue 5907 https://doi.org/10.1126/science.1165449	journal	December 2008
Superconductivity in iron compounds Stewart, G. R. Reviews of Modern Physics, Vol. 83, Issue 4 https://doi.org/10.1103/RevModPhys.83.1589	journal	December 2011
Projected quasiparticle theory for molecular electronic structure Scuseria, Gustavo E.; Jiménez-Hoyos, Carlos A.; Henderson, Thomas M. The Journal of Chemical Physics, Vol. 135, Issue 12 https://doi.org/10.1063/1.3643338	journal	September 2011
Striped phase in the cuprates as a semiclassical phenomenon Zaanen, Jan; Oleś, Andrzej M. Annalen der Physik, Vol. 508, Issue 3 https://doi.org/10.1002/andp.2065080303	journal	April 1996
Colloquium : The unexpected properties of alkali metal iron selenide superconductors Dagotto, Elbio Reviews of Modern Physics, Vol. 85, Issue 2 https://doi.org/10.1103/RevModPhys.85.849	journal	May 2013
Evidence for stripe correlations of spins and holes in copper oxide superconductors Tranquada, J. M.; Sternlieb, B. J.; Axe, J. D. Nature, Vol. 375, Issue 6532 https://doi.org/10.1038/375561a0	journal	June 1995
Frustrated Heisenberg antiferromagnet on the checkerboard lattice: $J_{1}$ - $J_{2}$ model Bishop, R. F.; Li, P. H. Y.; Farnell, D. J. J. Physical Review B, Vol. 85, Issue 20 https://doi.org/10.1103/PhysRevB.85.205122	journal	May 2012
The density-matrix renormalization group in the age of matrix product states Schollwöck, Ulrich Annals of Physics, Vol. 326, Issue 1 https://doi.org/10.1016/j.aop.2010.09.012	journal	January 2011
Spin- and charge-density waves in the Hartree–Fock ground state of the two-dimensional Hubbard model Xu, Jie; Chang, Chia-Chen; Walter, Eric J. Journal of Physics: Condensed Matter, Vol. 23, Issue 50 https://doi.org/10.1088/0953-8984/23/50/505601	journal	November 2011
Unrestricted Hartree-Fock theory and its applications to molecules and chemical reactions Fukutome, Hideo International Journal of Quantum Chemistry, Vol. 20, Issue 5 https://doi.org/10.1002/qua.560200502	journal	November 1981
Absence of a Slater Transition in the Two-Dimensional Hubbard Model Moukouri, S.; Jarrell, M. Physical Review Letters, Vol. 87, Issue 16 https://doi.org/10.1103/PhysRevLett.87.167010	journal	October 2001
Effect of Correlation on the Ferromagnetism of Transition Metals Gutzwiller, Martin C. Physical Review Letters, Vol. 10, Issue 5 https://doi.org/10.1103/PhysRevLett.10.159	journal	March 1963
Stripes on a 6-Leg Hubbard Ladder White, Steven R.; Scalapino, D. J. Physical Review Letters, Vol. 91, Issue 13 https://doi.org/10.1103/PhysRevLett.91.136403	journal	September 2003
Variational reduced-density-matrix calculation of the one-dimensional Hubbard model Hammond, Jeff R.; Mazziotti, David A. Physical Review A, Vol. 73, Issue 6 https://doi.org/10.1103/PhysRevA.73.062505	journal	June 2006
Possible highT c superconductivity in the Ba?La?Cu?O system Bednorz, J. G.; M�ller, K. A. Zeitschrift f�r Physik B Condensed Matter, Vol. 64, Issue 2 https://doi.org/10.1007/BF01303701	journal	June 1986
Symmetry-projected wave functions in quantum Monte Carlo calculations Shi, Hao; Jiménez-Hoyos, Carlos A.; Rodríguez-Guzmán, R. Physical Review B, Vol. 89, Issue 12 https://doi.org/10.1103/PhysRevB.89.125129	journal	March 2014
A Jacobi Equation on the Coset Manifold SO(2N)/U(N) and the Quasi-Particle RPA Equation Nishiyama, S. Progress of Theoretical Physics, Vol. 69, Issue 1 https://doi.org/10.1143/PTP.69.100	journal	January 1983
Visualization of quantum fluctuations by superposition of optimized nonorthogonal Slater determinants Tomita, Norikazu Physical Review B, Vol. 79, Issue 7 https://doi.org/10.1103/PhysRevB.79.075113	journal	February 2009
Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions Georges, Antoine; Kotliar, Gabriel; Krauth, Werner Reviews of Modern Physics, Vol. 68, Issue 1 https://doi.org/10.1103/RevModPhys.68.13	journal	January 1996
Projected Hartree–Fock theory Jiménez-Hoyos, Carlos A.; Henderson, Thomas M.; Tsuchimochi, Takashi The Journal of Chemical Physics, Vol. 136, Issue 16 https://doi.org/10.1063/1.4705280	journal	April 2012
Microscopic description of quadrupole-octupole coupling in Sm and Gd isotopes with the Gogny energy density functional Rodríguez-Guzmán, R.; Robledo, L. M.; Sarriguren, P. Physical Review C, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevC.86.034336	journal	September 2012
Electron correlations in narrow energy bands Hubbard, J. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 276, Issue 1365, p. 238-257 https://doi.org/10.1098/rspa.1963.0204	journal	November 1963
Magnetism and its microscopic origin in iron-based high-temperature superconductors Dai, Pengcheng; Hu, Jiangping; Dagotto, Elbio Nature Physics, Vol. 8, Issue 10 https://doi.org/10.1038/nphys2438	journal	October 2012
Truncated configuration interaction expansions as solvers for correlated quantum impurity models and dynamical mean-field theory Zgid, Dominika; Gull, Emanuel; Chan, Garnet Kin-Lic Physical Review B, Vol. 86, Issue 16 https://doi.org/10.1103/PhysRevB.86.165128	journal	October 2012
A Mott insulator of fermionic atoms in an optical lattice Jördens, Robert; Strohmaier, Niels; Günter, Kenneth Nature, Vol. 455, Issue 7210 https://doi.org/10.1038/nature07244	journal	September 2008
Global symmetries in tensor network states: Symmetric tensors versus minimal bond dimension Singh, Sukhwinder; Vidal, Guifre Physical Review B, Vol. 88, Issue 11 https://doi.org/10.1103/PhysRevB.88.115147	journal	September 2013
Stripe formation in doped Hubbard ladders Hager, G.; Wellein, G.; Jeckelmann, E. Physical Review B, Vol. 71, Issue 7 https://doi.org/10.1103/PhysRevB.71.075108	journal	February 2005
The Mott Metal-Insulator Transition Gebhard, Florian Springer Tracts in Modern Physics https://doi.org/10.1007/3-540-14858-2	book	January 1997

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75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Materials Science
Physics

Title: Variational description of the ground state of the repulsive two-dimensional Hubbard model in terms of nonorthogonal symmetry-projected Slater determinants

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