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We demonstrate the use of finite-size fermionic projected entangled pair states, in conjunction with variational Monte Carlo, to perform accurate simulations of the ground-state of the 2D Hubbard model.
J. Hubbard, “Electron correlations in narrow energy bands,” Proc. R. Soc. Lond. A 276
1963
Earlier work this paper cites.
Steven R. White, “Density matrix formulation for quantum renormalization groups,” Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
Mark Fannes, Bruno Nachtergaele, and Reinhard F Werner, “Finitely correlated states on quantum spin chains,” Commun. Math. Phys. 144
1992
Earlier work this paper cites.
Elbio Dagotto, “Correlated electrons in high-temperature superconductors,” Rev. Mod. Phys. 66
1994
Earlier work this paper cites.
Antoine Georges, Gabriel Kotliar, Werner Krauth, and Marcelo J. Rozenberg, “Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions,” Rev. Mod. Phys. 68
1996
Earlier work this paper cites.
Shiwei Zhang, J. Carlson, and J. E. Gubernatis, “Constrained path monte carlo method for fermion ground states,” Phys. Rev. B 55
1997
Earlier work this paper cites.
Stéphane Pairault, David Sénéchal, and A.-M. S. Tremblay, “Strong-coupling expansion for the hubbard model,” Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
Sandro Sorella, “Green function monte carlo with stochastic reconfiguration,” Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
John W. Negele and Henri Orland, Quantum Many-Particle Systems (Westview Press, 1998)
1998
Earlier work this paper cites.
D. Sénéchal, D. Perez, and M. Pioro-Ladrière, “Spectral weight of the hubbard model through cluster perturbation theory,” Phys. Rev. Lett. 84
2000
Earlier work this paper cites.
N. Bulut, “ d x 2 − y 2 d_{x^{2}-y^{2}} superconductivity and the Hubbard
2002
Earlier work this paper cites.
Frank Verstraete and J. Ignacio Cirac, “Renormalization algorithms for quantum-many body systems in two and higher dimensions,” arXiv:cond-mat/0407066 (2004)
2004
Earlier work this paper cites.
A. W. Sandvik and G. Vidal, “Variational quantum Monte
2007
Earlier work this paper cites.
F. Verstraete, V. Murg, and J. I. Cirac, “Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems,” Advances in Physics 57
2008
Earlier work this paper cites.
J. Jordan, R. Orús, G. Vidal, F. Verstraete, and J. I. Cirac, “Classical simulation of infinite-size quantum lattice systems in two spatial dimensions,” Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
H. C. Jiang, Z. Y. Weng, and T. Xiang, “Accurate determination of tensor network state of quantum lattice models in two dimensions,” Phys. Rev. Lett. 101
2008
Earlier work this paper cites.
Norbert Schuch, Michael M. Wolf, Frank Verstraete, and J. Ignacio Cirac, “Simulation of quantum many-body systems with strings of operators and Monte
2008
Earlier work this paper cites.
Román Orús and Guifré Vidal, “Simulation of two-dimensional quantum systems on an infinite lattice revisited: Corner transfer matrix for tensor contraction,” Phys. Rev. B 80
2009
Earlier work this paper cites.
Thomas Barthel, Carlos Pineda, and Jens Eisert, “Contraction of fermionic operator circuits and the simulation of strongly correlated fermions,” Phys. Rev. A 80
2009
Earlier work this paper cites.
Kris Van Houcke, Evgeny Kozik, N. Prokof’ev, and B. Svistunov, “Diagrammatic monte carlo,” Physics Procedia 6
2010
Earlier work this paper cites.
Christina V. Kraus, Norbert Schuch, Frank Verstraete, and J. Ignacio Cirac, “Fermionic projected entangled pair states,” Phys. Rev. A 81
2010
Earlier work this paper cites.
Philippe Corboz, Román Orús, Bela Bauer, and Guifré Vidal, “Simulation of strongly correlated fermions in two spatial dimensions with fermionic projected entangled-pair states,” Phys. Rev. B 81
2010
Earlier work this paper cites.
2010
Earlier work this paper cites.
Iztok Pižorn and Frank Verstraete, “Fermionic implementation of projected entangled pair states algorithm,” Phys. Rev. B 81
2010
Earlier work this paper cites.
Emanuel Gull, Andrew J. Millis, Alexander I. Lichtenstein, Alexey N. Rubtsov, Matthias Troyer, and Philipp Werner, “Continuous-time monte carlo methods for quantum impurity models,” Rev. Mod. Phys. 83
2011
Earlier work this paper cites.
Philippe Corboz, Steven R. White, Guifré Vidal, and Matthias Troyer, “Stripes in the two-dimensional t t - J {J} model with infinite projected entangled-pair states,” Phys. Rev. B 84
2011
Earlier work this paper cites.
Sukhwinder Singh, Robert N. C. Pfeifer, and Guifre Vidal, “Tensor network states and algorithms in the presence of a global U(1)
2011
Earlier work this paper cites.
B. Bauer, P. Corboz, R. Orús, and M. Troyer, “Implementing global abelian symmetries in projected entangled-pair state algorithms,” Phys. Rev. B 83
2011
Earlier work this paper cites.
Ling Wang, Iztok Pižorn, and Frank Verstraete, “ Monte
2011
Cited alongside, same era.
D. J. Scalapino, “A common thread: The pairing interaction for unconventional superconductors,” Rev. Mod. Phys. 84
2012
Cited alongside, same era.
Eric Neuscamman, C. J. Umrigar, and Garnet Kin-Lic Chan, “Optimizing large parameter sets in variational quantum monte carlo,” Phys. Rev. B 85
2012
Cited alongside, same era.
Zheng-Cheng Gu, “Efficient simulation of Grassmann
2013
Cited alongside, same era.
Michael Lubasch, J. Ignacio Cirac, and Mari-Carmen Bañuls, “Algorithms for finite projected entangled pair states,” Phys. Rev. B 90
2014
Cited alongside, same era.
Philippe Corboz, T. M. Rice, and Matthias Troyer, “Competing states in the t t - J {J} model: Uniform d d -wave state versus stripe state,” Phys. Rev. Lett. 113
Shao-Jun Dong, Chao Wang, Yong-Jian Han, Chao Yang, and Lixin He, “Stable diagonal stripes in the t t - J {J} model at n ¯ h = 1 / 8 \bar{n}_{h}=1/8 doping from fPEPS
2020
Later among the works it cites.
Shoushu Gong, W. Zhu, and D. N. Sheng, “Robust d d -wave superconductivity in the square-lattice t − j t\text{$-$}j model,” Phys. Rev. Lett. 127
2021
Later among the works it cites.
Wen-Yuan Liu, Yi-Zhen Huang, Shou-Shu Gong, and Zheng-Cheng Gu, “Accurate simulation for finite projected entangled pair states in two dimensions,” Phys. Rev. B 103
2021
Later among the works it cites.
Manuel Schneider, Johann Ostmeyer, Karl Jansen, Thomas Luu, and Carsten Urbach, “Simulating both parity sectors of the hubbard model with tensor networks,” Phys. Rev. B 104
2021
Later among the works it cites.
Song Cheng, Lei Wang, and Pan Zhang, “Supervised learning with projected entangled pair states,” Phys. Rev. B 103
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2014
Cited alongside, same era.
Sebastian Wouters, Brecht Verstichel, Dimitri Van Neck, and Garnet Kin-Lic Chan, “Projector quantum Monte Carlo
2014
Cited alongside, same era.
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 (Simons Collaboration on the Many-Electron Problem), “Solutions of the two-dimensional Hubbard
2015
Cited alongside, same era.
Ho N. Phien, Johann A. Bengua, Hoang D. Tuan, Philippe Corboz, and Román Orús, “Infinite projected entangled pair states algorithm improved: Fast full update and gauge fixing,” Phys. Rev. B 92
2015
Cited alongside, same era.
Roberto Olivares-Amaya, Weifeng Hu, Naoki Nakatani, Sandeep Sharma, Jun Yang, and Garnet Kin-Lic Chan, “The ab-initio density matrix renormalization group in practice,” The Journal of Chemical Physics 142
2015
Cited alongside, same era.
Daniel Greif, Maxwell F. Parsons, Anton Mazurenko, Christie S. Chiu, Sebastian Blatt, Florian Huber, Geoffrey Ji, and Markus Greiner, “Site-resolved imaging of a fermionic mott insulator,” Science 351
2016
Cited alongside, same era.
Lawrence W. Cheuk, Matthew A. Nichols, Katherine R. Lawrence, Melih Okan, Hao Zhang, Ehsan Khatami, Nandini Trivedi, Thereza Paiva, Marcos Rigol, and Martin W. Zwierlein, “Observation of spatial charge and spin correlations in the 2D Fermi-Hubbard
2016
Cited alongside, same era.
2021
Later among the works it cites.
Tom Vieijra, Jutho Haegeman, Frank Verstraete, and Laurens Vanderstraeten, “Direct sampling of projected entangled-pair states,” Phys. Rev. B 104
2021
Later among the works it cites.
Huanchen Zhai and Garnet Kin-Lic Chan, “Low communication high performance ab initio density matrix renormalization group algorithms,” The Journal of Chemical Physics 154
2021
Later among the works it cites.
Daniel P. Arovas, Erez Berg, Steven A. Kivelson, and Srinivas Raghu, “The Hubbard Model
2022
Later among the works it cites.
Mingpu Qin, Thomas Schäfer, Sabine Andergassen, Philippe Corboz, and Emanuel Gull, “ The Hubbard
2022
Later among the works it cites.
Pimonpan Sompet, Sarah Hirthe, Dominik Bourgund, Thomas Chalopin, Julian Bibo, Joannis Koepsell, Petar Bojović, Ruben Verresen, Frank Pollmann, Guillaume Salomon, et al. , “Realizing the symmetry-protected haldane phase in Fermi-Hubbard
2022
Later among the works it cites.
2022
Later among the works it cites.
Bo Xiao, Yuan-Yao He, Antoine Georges, and Shiwei Zhang, “Temperature dependence of spin and charge orders in the doped two-dimensional hubbard model,” Phys. Rev. X 13
2023
Later among the works it cites.
Qiaoyi Li, Yuan Gao, Yuan-Yao He, Yang Qi, Bin-Bin Chen, and Wei Li, “Tangent space approach for thermal tensor network simulations of the 2d hubbard model,” Phys. Rev. Lett. 130
2023
Later among the works it cites.
Patrick C. G. Vlaar and Philippe Corboz, “Efficient tensor network algorithm for layered systems,” Phys. Rev. Lett. 130
2023
Later among the works it cites.
Boris Ponsioen, Sangwoo S. Chung, and Philippe Corboz, “Superconducting stripes in the hole-doped three-band Hubbard
2023
Later among the works it cites.
M. Scheb and R. M. Noack, “Finite projected entangled pair states for the Hubbard
2023
Later among the works it cites.
Seunghoon Lee, Joonho Lee, Huanchen Zhai, Yu Tong, Alexander M Dalzell, Ashutosh Kumar, Phillip Helms, Johnnie Gray, Zhi-Hao Cui, Wenyuan Liu, et al. , “Evaluating the evidence for exponential quantum advantage in ground-state quantum chemistry,” Nature Communications 14
2023
Later among the works it cites.
Huanchen Zhai, Henrik R. Larsson, Seunghoon Lee, Zhi-Hao Cui, Tianyu Zhu, Chong Sun, Linqing Peng, Ruojing Peng, Ke Liao, Johannes Tölle, Junjie Yang, Shuoxue Li, and Garnet Kin-Lic Chan, “Block2: A comprehensive open source framework to develop and apply state-of-the-art DMRG
2023
Later among the works it cites.
Fedor Šimkovic, Riccardo Rossi, Antoine Georges, and Michel Ferrero, “Origin and fate of the pseudogap in the doped hubbard model,” Science 385
2024
Later among the works it cites.
Hao Xu, Chia-Min Chung, Mingpu Qin, Ulrich Schollwöck, Steven R. White, and Shiwei Zhang, “Coexistence of superconductivity with partially filled stripes in the Hubbard
2024
Later among the works it cites.
Xin Lu, Feng Chen, W. Zhu, D. N. Sheng, and Shou-Shu Gong, “Emergent superconductivity and competing charge orders in hole-doped square-lattice t − j t\text{$-$}j model,” Phys. Rev. Lett. 132
2024
Later among the works it cites.
Dai-Wei Qu, Qiaoyi Li, Shou-Shu Gong, Yang Qi, Wei Li, and Gang Su, “Phase diagram, d d -wave superconductivity, and pseudogap of the t − t ′ − j t-{t}^{{}^{\prime}}-j model at finite temperature,” Phys. Rev. Lett. 133
2024
Later among the works it cites.
Johnnie Gray and Garnet Kin-Lic Chan, “Hyperoptimized approximate contraction of tensor networks with arbitrary geometry,” Phys. Rev. X 14
2024
Later among the works it cites.
Huanchen Zhai, Henrik R Larsson, Seunghoon Lee, and Zhi-Hao Cui, “Block2: Efficient mpo implementation of quantum chemistry DMRG
2024
Later among the works it cites.
2024
Later among the works it cites.
Dominik Bourgund, Thomas Chalopin, Petar Bojović, Henning Schlömer, Si Wang, Titus Franz, Sarah Hirthe, Annabelle Bohrdt, Fabian Grusdt, Immanuel Bloch, et al. , “Formation of individual stripes in a mixed-dimensional cold-atom Fermi-Hubbard
2025
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Quinten Mortier, Lukas Devos, Lander Burgelman, Bram Vanhecke, Nick Bultinck, Frank Verstraete, Jutho Haegeman, and Laurens Vanderstraeten, “Fermionic tensor network methods,” SciPost Phys. 18, 012 (2025)
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