TY - JOUR
T1 - Solutions of the Two-Dimensional Hubbard Model
T2 - Benchmarks and Results from a Wide Range of Numerical Algorithms
AU - LeBlanc, J
AU - Antipov, A
AU - Becca, F
AU - Bulik, I
AU - Chan, G
AU - Chung, Chia-Min
AU - Deng, Youjin
AU - Ferrero, Michel
AU - Henderson, T
AU - Jiménez-Hoyos, Carlos
AU - Kozik, Evgeny
AU - Liu, Xuan-Wen
AU - Millis, Andrew
AU - Prokofiev, Nikolay
AU - Qin, Mingpu
AU - Scuseria, Gustavo
AU - Shi, Hao
AU - Svistunov, Boris
AU - Tocchio, Luca
AU - Tupitsyn, Igor
AU - White, Steven R.
AU - Zhang, Shiwei
AU - Zheng, Bo-Xiao
AU - Zhu, Zhenyue
AU - Gull, Emanuel
PY - 2015/12/14
Y1 - 2015/12/14
N2 - Numerical results for ground state and excited state properties (energies, double occupancies, and Matsubara-axis self energies) of the single-orbital Hubbard model on a two-dimensional square lattice are presented, in order to provide an assessment of our ability to compute accurate results in the thermodynamic limit. Many methods are employed, including auxiliary field quantum Monte Carlo, bare and bold-line diagrammatic Monte Carlo, method of dual fermions, density matrix embedding theory, density matrix renormalization group, dynamical cluster approximation, diffusion Monte Carlo within a fixed node approximation, unrestricted coupled cluster theory, and multi-reference projected Hartree-Fock. Comparison of results obtained by different methods allows for the identification of uncertainties and systematic errors. The importance of extrapolation to converged thermodynamic limit values is emphasized. Cases where agreement between different methods is obtained establish benchmark results that may be useful in the validation of new approaches and the improvement of existing methods.
AB - Numerical results for ground state and excited state properties (energies, double occupancies, and Matsubara-axis self energies) of the single-orbital Hubbard model on a two-dimensional square lattice are presented, in order to provide an assessment of our ability to compute accurate results in the thermodynamic limit. Many methods are employed, including auxiliary field quantum Monte Carlo, bare and bold-line diagrammatic Monte Carlo, method of dual fermions, density matrix embedding theory, density matrix renormalization group, dynamical cluster approximation, diffusion Monte Carlo within a fixed node approximation, unrestricted coupled cluster theory, and multi-reference projected Hartree-Fock. Comparison of results obtained by different methods allows for the identification of uncertainties and systematic errors. The importance of extrapolation to converged thermodynamic limit values is emphasized. Cases where agreement between different methods is obtained establish benchmark results that may be useful in the validation of new approaches and the improvement of existing methods.
UR - https://arxiv.org/pdf/1505.02290.pdf
U2 - 10.1103/PhysRevX.5.041041
DO - 10.1103/PhysRevX.5.041041
M3 - Article
SN - 2160-3308
VL - 5
SP - 041041-1-041041-28
JO - Physical Review X
JF - Physical Review X
M1 - 041041
ER -