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The repulsive Hubbard model has been immensely useful in understanding strongly correlated electron systems, and serves as the paradigmatic model of the field.
Concerning a model for a non-ideal Fermi gas
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V. M. Galitskii · 1958
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Elliott Lieb and Daniel Mattis · 1962
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Electron correlations in narrow energy bands
John Hubbard · 1963
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Superconductivity in a strong spin-exchange field
Peter Fulde and Richard A. Ferrell · 1964
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Nonuniform state of superconductors
A. I. Larkin and Y. N. Ovchinnikov · 1964
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Exchange in solid 3 He and the Heisenberg Hamiltonian
D. J. Thouless · 1965
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New mechanism for superconductivity
W. Kohn and J. M. Luttinger · 1965
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Ferromagnetism in a narrow, almost half-filled s s -band
Yosuke Nagaoka · 1966
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Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension
Elliott H. Lieb and F. Y. Wu · 1968
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Some properties of gapless semiconductors of the second kind
A. A. Abrikosov and S. D. Beneslavskii · 1971
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Calculation of critical indices for zero-gap semiconductors
A. A. Abrikosov · 1974
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Backward scattering in the one-dimensional electron gas
A. Luther and V. J. Emery · 1974
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Critical behavior of commensurate-incommensurate phase transitions in two dimensions
H. J. Schulz · 1980
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Quantized Hall conductivity in 2 dimensions
R. B. Laughlin · 1981
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Monte Carlo calculations of coupled boson-fermion systems. I
R. Blankenbecler, D. J. Scalapino, and R. L. Sugar · 1981
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Continuum dynamics of the 1-d Heisenberg antiferromagnet identification with the O ( 3 ) O(3) non-linear sigma-model
F. D. M. Haldane · 1983
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Discrete Hubbard-Stratonovich transformation for fermion lattice models
J. E. Hirsch · 1983
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d d -wave pairing near a spin-density-wave instability
D. J. Scalapino, E. Loh, and J. E. Hirsch · 1986
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Possible Superconductivity in nearly antiferromagnetic itinerant fermion systems
MT Bealmonod, C Bourbonnais, and VJ Emery · 1986
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The Resonating valence bond state in La 2 CuO 4 and superconductivity
P. W. Anderson · 1987
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Theory of high- T c {\mathrm{T}}_{\mathrm{c}} superconductivity in oxides
V. J. Emery · 1987
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Theory of high- T c T_{\rm c} superconductivity in oxides
V. J. Emery · 1987
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Superconducting transitions due to van Hove singularities in the electron spectrum
I. E. Dzyaloshinskii · 1987
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Superconductivity and antiferromagnetism in the two-dimensional Hubbard model: Scaling theory
H. J. Schulz · 1987
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Equivalence of the resonating-valence-bond and fractional quantum Hall states
V. Kalmeyer and R. B. Laughlin · 1987
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Possibility of a superfluid transition in a slightly nonideal Fermi gas with repulsion
M. Yu. Kagan and A. V. Chubukov · 1988
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Large- N N limit of the Heisenberg-Hubbard model: Implications for high- T c T_{\rm c} superconductors
Ian Affleck and J. Brad Marston · 1988
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Functional integral theories of low-dimensional quantum Heisenberg models
Daniel P. Arovas and Assa Auerbach · 1988
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Superconductivity and the Quantum Hard-Core Dimer Gas
Daniel S. Rokhsar and Steven A. Kivelson · 1988
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The relationship between high-temperature superconductivity and the fractional quantum Hall effect
R. B. Laughlin · 1988
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η \eta pairing and off-diagonal long-range order in a Hubbard model
Chen Ning Yang · 1989
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Two theorems on the Hubbard model
Elliott H. Lieb · 1989
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Extension of Nagaoka’s theorem on the large- U U Hubbard model
Hal Tasaki · 1989
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Large- n n limit of the Hubbard-Heisenberg model
J. Brad Marston and Ian Affleck · 1989
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Charged magnetic domain lines and the magnetism of high- T c {T}_{\rm c} oxides
Jan Zaanen and Olle Gunnarsson · 1989
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Domain walls in a doped antiferromagnet
H. J. Schulz · 1989
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Magnetism in La 2 CuO 4 based compounds
Kazushige Machida · 1989
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Numerical study of the two-dimensional Hubbard model
S. R. White, D. J. Scalapino, R. L. Sugar, E. Y. Loh, J. E. Gubernatis, and R. T. Scalettar · 1989
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Attractive and repulsive pairing interaction vertices for the two-dimensional Hubbard model
S. R. White, D. J. Scalapino, R. L. Sugar, N. E. Bickers, and R. T. Scalettar · 1989
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SO ( 4 ) \textsf{SO}(4) symmetry in a Hubbard model
Chen Ning Yang and S. C. Zhang · 1990
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Instability of the Nagaoka ferromagnetic state of the U= ∞ \infty Hubbard model
B. S. Shastry, H. R. Krishnamurthy, and P. W. Anderson · 1990
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Phase-separation in the t t - J J model
V. J. Emery, S. A. Kivelson, and H. Q. Lin · 1990
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Incommensurate antiferromagnetism in the two-dimensional Hubbard model
H. J. Schulz · 1990
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Exact diagonalization of finite frustrated spin- 1 2 {\textstyle{1\over 2}} Heisenberg models
F. Figueirido, A. Karlhede, S. Kivelson, S. Sondhi, M. Rocek, and D. S. Rokhsar · 1990
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Numerical studies of antiferromagnetism on a Kagomé net
Chen Zeng and Veit Elser · 1990
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SO(4) symmetry of the Hubbard model and its experimental consequences
Shoucheng Zhang · 1991
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Ferromagnetic ground states for the Hubbard model on line graphs
A Mielke · 1991
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Large- N N expansion for frustrated quantum antiferromagnets
N. Read and Subir Sachdev · 1991
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Pair binding in small Hubbard-model molecules
Steven R. White, Sudip Chakravarty, Martin P. Gelfand, and Steven A. Kivelson · 1992
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Effective Field Theory and the Fermi Surface
Joseph Polchinski · 1992
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Exact ground states for the Hubbard model on the kagome lattice
A Mielke · 1992
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Landau f f -function for the dilute Fermi gas in two dimensions
Jan R. Engelbrecht, Mohit Randeria, and Lizeng Zhang · 1992
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Density matrix formulation for quantum renormalization groups
Steven R. White · 1992
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Ground state disorder in the spin- 1 2 {\textstyle{1\over 2}} Kagomé Heisenberg antiferromagnet
J. T. Chalker and J. F. G. Eastmond · 1992
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Semi-metal-insulator transition of the Hubbard model in the honeycomb lattice
Sandro Sorella and Erio Tosatti · 1992
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Nodeless d d -wave pairing in a two-layer Hubbard model
Nejat Bulut, Douglas J. Scalapino, and Richard T. Scalettar · 1992
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Uniform density theorem for the Hubbard model
Elliott H. Lieb, Michael Loss, and Robert J. McCann · 1993
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Kohn-Luttinger effect and the instability of a two-dimensional repulsive Fermi liquid at T = 0 T=0
Andrey V. Chubukov · 1993
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The Kondo Problem to Heavy Fermions
Alexander Cyril Hewson · 1993
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Pairing in doped spin liquids - anyon versus d d -wave superconductivity
D. S. Rokhsar · 1993
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Renormalization-group approach to interacting fermions
R. Shankar · 1994
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Interacting Electrons and Quantum Magnetism
Assa Auerbach · 1994
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“Electronic Phase Separation and High Temperature Superconductors,” Proceedings of ‘Strongly Correlated Electronic Materials: The Los Alamos Symposium 1993’
S. A. Kivelson and V. J. Emery · 1994
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Magnetic and pairing correlations in coupled Hubbard planes
Richard T. Scalettar, Joel W. Cannon, Douglas J. Scalapino, and Robert L. Sugar · 1994
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Functional integrals for correlated fermions
H. J. Schulz · 1995
Cited alongside, same era.
Thermodynamic limit of density-matrix renormalizaiton
S. Ostlund and S. Rommer · 1995
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The doped two-chain Hubbard model
R. M. Noack, S. R. White, and D. J. Scalapino · 1995
Cited alongside, same era.
Local antiferromagnetic correlations and d x 2 − y 2 d_{x^{2}-y^{2}} pairing
D. J. Scalapino and S. A. Trugman · 1996
Cited alongside, same era.
Weak-coupling phase diagram of the two-chain Hubbard model
Leon Balents and Matthew P. A. Fisher · 1996
Cited alongside, same era.
Absence of a spin liquid phase in the Hubbard model on the honeycomb lattice
Sandro Sorella, Yuichi Otsuka, and Seiji Yunoki · 2012
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Antiferromagnetism in the Hubbard model on the Bernal-stacked honeycomb bilayer
Thomas C. Lang, Zi Yang Meng, Michael M. Scherer, Stefan Uebelacker, Fakher F. Assaad, Alejandro Muramatsu, Carsten Honerkamp, and Stefan Wessel · 2012
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Spin dynamics of possible density wave states in the pseudogap phase of high-temperature superconductors
Chen-Hsuan Hsu, Zhiqiang Wang, and Sudip Chakravarty · 2012
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Pair-density-wave superconducting order in two-leg ladders
Akbar Jaefari and Eduardo Fradkin · 2012
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Chiral superconductivity from repulsive interactions in doped graphene
Rahul Nandkishore, L. S. Levitov, and A. V. Chubukov · 2012
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Dimensional crossover in quantum antiferromagnets
Sudip Chakravarty · 1996
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Properties of lightly doped t t - J J two-leg ladders
Matthias Troyer, Hirokazu Tsunetsugu, and T. M. Rice · 1996
Cited alongside, same era.
Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions
Antoine Georges, Gabriel Kotliar, Werner Krauth, and Marcelo J. Rozenberg · 1996
Cited alongside, same era.
Nonperturbative approach to Luttinger’s theorem in one dimension
Masanori Yamanaka, Masaki Oshikawa, and Ian Affleck · 1997
Cited alongside, same era.
N N -chain Hubbard model in weak coupling
Hsiu-Hau Lin, Leon Balents, and Matthew P. A. Fisher · 1997
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Spin-gap proximity effect mechanism of high-temperature superconductivity
V. J. Emery, S. A. Kivelson, and O. Zachar · 1997
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Topological order and absence of band insulators at integer filling in non-symmorphic crystals
Siddharth A. Parameswaran, Ari M. Turner, Daniel P. Arovas, and Ashvin Vishwanath · 2013
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Superconductivity from repulsive interaction
Saurabh Maiti and Andrey V. Chubukov · 2013
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Field theories of condensed matter physics (2nd edition)
Eduardo Fradkin · 2013
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Phase diagram of the spin- 1 2 {\textstyle{1\over 2}} J 1 J_{1} - J 2 J_{2} Heisenberg model on a honeycomb lattice
Shou-Shu Gong, D. N. Sheng, Olexei I. Motrunich, and Matthew P. A. Fisher · 2013
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Pinning the order: The nature of quantum criticality in the Hubbard model on honeycomb lattice
Fakher F. Assaad and Igor F. Herbut · 2013
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Determinant quantum Monte Carlo study of d d -wave pairing in the plaquette Hubbard Hamiltonian
T. Ying, R. Mondaini, X. D. Sun, T. Paiva, R. M. Fye, and R. T. Scalettar · 2014
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Plaquette ordered phase and quantum phase diagram in the spin- 1 2 {\textstyle{1\over 2}} J 1 − J 2 {J}_{1}\text{$-$}{J}_{2} square Heisenberg model
Shou-Shu Gong, Wei Zhu, D. N. Sheng, Olexei I. Motrunich, and Matthew P. A. Fisher · 2014
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Chiral spin-density wave, spin-charge-Chern liquid, and d + i d d+id superconductivity in 1 4 {\textstyle{1\over 4}} -doped correlated electronic systems on the honeycomb lattice
Shenghan Jiang, Andrej Mesaros, and Ying Ran · 2014
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Emergent chiral spin liquid: Fractional quantum Hall effect in a kagome Heisenberg Model
Shou-Shu Gong, Wei Zhu, and D. N. Sheng · 2014
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Numerical exploration of spontaneous broken symmetries in multiorbital Hubbard models
Y. F. Kung, C. C. Chen, B. Moritz, S. Johnston, R. Thomale, and T. P. Devereaux · 2014
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Competing states in the t t - J J model: uniform d d -wave state versus stripe state
Philippe Corboz, T. M. Rice, and Matthias Troyer · 2014
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Superconductivity from weak repulsion in hexagonal lattice systems
Rahul Nandkishore, Ronny Thomale, and Andrey V. Chubukov · 2014
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Filling constraints for spin-orbit coupled insulators in symmorphic and nonsymmorphic crystals
Haruki Watanabe, Hoi Chun Po, Ashvin Vishwanath, and Michael Zaletel · 2015
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EPL (Europhysics Letters)
Emergent BCS regime of the two-dimensional fermionic Hubbard model: ground-state phase diagram · 2015
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Pair correlations in doped Hubbard ladders
Michele Dolfi, Bela Bauer, Sebastian Keller, and Matthias Troyer · 2015
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Quantum phase diagram of the spin-1 J 1 − J 2 {J}_{1}-{J}_{2} Heisenberg model on the honeycomb lattice
Shou-Shu Gong, Wei Zhu, and D. N. Sheng · 2015
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Solutions of the two-dimensional Hubbard model: benchmarks and results from a wide range of numerical algorithms
J. P. F. LeBlanc, Andrey E. Antipov, Federico Becca, Ireneusz W. Bulik, Garnet Kin-Lic Chan, Chia-Min Chung, Youjin Deng, Michel Ferrero, Thomas M. Henderson, Carlos A. Jiménez-Hoyos, E. Kozik, Xuan-Wen Liu, Andrew J. Millis, N. V. Prokof’ev, Mingpu Qin, Gustavo E. Scuseria, Hao Shi, B. V. Svistunov, Luca F. Tocchio, I. S. Tupitsyn, Steven R. White, Shiwei Zhang, Bo-Xiao Zheng, Zhenyue Zhu, and Emanuel Gull · 2015
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Interaction-induced Dirac fermions from quadratic band touching in bilayer graphene
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Optimal inhomogeneity for pairing in Hubbard systems with next-nearest-neighbor hopping
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Intertwined order in a frustrated four-leg t t - J J cylinder
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Stripe order in the underdoped region of the two-dimensional Hubbard model
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Signatures of Dirac cones in a DMRG study of the kagome Heisenberg model
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Strange metallicity in the doped Hubbard model
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Quantum Monte Carlo study of the dominating pairing symmetry in doped honeycomb lattice
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