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Thermodynamic properties of the three-dimensional Bose-Hubbard model

Barbara Capogrosso-Sansone, Evgeny Kozik, Nikolay V. Prokof'ev +1 more

APSJun 1, 20070 citations

A method to efficiently simulate the thermodynamic properties of the Fermi-Hubbard model on a quantum computer

Pierre-Luc Dallaire-Demers, Frank K. Wilhelm

Bulletin of the American Physical SocietyMar 15, 20160 citations

Observation of antiferromagnetic correlations in the Fermi-Hubbard model

Russell Hart, Pedro Duarte, Tsung‐Lin Yang +6 more

Bulletin of the American Physical SocietyMar 3, 20140 citations

Extended Metal-Insulator Crossover with Strong Antiferromagnetic Spin Correlation in Half-Filled 3D Hubbard Model

Yufeng Song, Youjin Deng, Yuan-Yao He

The Hubbard model at temperatures above the Néel transition, despite being a paramagnet, can exhibit rich physics due to the interplay of Fermi surface, on-site interaction U and thermal fluctuations. Nevertheless, the understanding of the crossover physics remains only at a qualitative level, because of the intrinsically smooth behavior. Employing an improved variant of the numerically exact auxiliary-field quantum Monte Carlo algorithm equipped with numerical analytic continuation, we obtain a broad variety of thermodynamic and dynamical properties of the three-dimensional Hubbard model at half filling, quantitatively determine the crossover boundaries, and observe that the metal-insulator crossover regime, in which antiferromagnetic spin correlations appear strongest, exists over an extended regime in between the Fermi liquid for small U and the Mott insulator for large U. In particular, the location of the most rapid suppression of double occupancy as U increases, is found to fully reside in the metallic Fermi liquid regime, in contrast to the conventional intuition that it is a representative feature for entering the Mott insulator. Beside providing a reliable methodology for numerical study of crossover physics, our work can also serve as a timely and important guideline for the most recent optical lattice experiments.The Hubbard model at temperatures above the Néel transition, despite being a paramagnet, can exhibit rich physics due to the interplay of Fermi surface, on-site interaction U and thermal fluctuations. Nevertheless, the understanding of the crossover physics remains only at a qualitative level, because of the intrinsically smooth behavior. Employing an improved variant of the numerically exact auxiliary-field quantum Monte Carlo algorithm equipped with numerical analytic continuation, we obtain a broad variety of thermodynamic and dynamical properties of the three-dimensional Hubbard model at half filling, quantitatively determine the crossover boundaries, and observe that the metal-insulator crossover regime, in which antiferromagnetic spin correlations appear strongest, exists over an extended regime in between the Fermi liquid for small U and the Mott insulator for large U. In particular, the location of the most rapid suppression of double occupancy as U increases, is found to fully reside in the metallic Fermi liquid regime, in contrast to the conventional intuition that it is a representative feature for entering the Mott insulator. Beside providing a reliable methodology for numerical study of crossover physics, our work can also serve as a timely and important guideline for the most recent optical lattice experiments.

arXiv:2404.08745Physical Review LettersJan 10, 202517 citations

Antiferromagnetic phase transition in a 3D fermionic Hubbard model

Hou-Ji Shao, Yu‐Xuan Wang, De-Zhi Zhu +9 more

NatureJul 10, 202466 citations

Efficient calculation of the antiferromagnetic phase diagram of the three-dimensional Hubbard model

Paul R. C. Kent, M. Jarrell, Thomas Maier +1 more

The dynamical cluster approximation (DCA) with Betts clusters is used to calculate the antiferromagnetic phase diagram of the three-dimensional Hubbard model at half-filling. Betts clusters are a set of periodic clusters which best reflect the properties of the lattice in the thermodynamic limit and provide an optimal finite-size scaling as a function of cluster size. Using a systematic finite-size scaling as a function of cluster space-time dimensions, we calculate the antiferromagnetic phase diagram. Our results are qualitatively consistent with the results of Staudt et al. [Eur. Phys. J. B 17, 411 (2000)], but require the use of much smaller clusters: 48 compared to 1000.The dynamical cluster approximation (DCA) with Betts clusters is used to calculate the antiferromagnetic phase diagram of the three-dimensional Hubbard model at half-filling. Betts clusters are a set of periodic clusters which best reflect the properties of the lattice in the thermodynamic limit and provide an optimal finite-size scaling as a function of cluster size. Using a systematic finite-size scaling as a function of cluster space-time dimensions, we calculate the antiferromagnetic phase diagram. Our results are qualitatively consistent with the results of Staudt et al. [Eur. Phys. J. B 17, 411 (2000)], but require the use of much smaller clusters: 48 compared to 1000.

arXiv:cond-mat/0506337Physical Review BAug 29, 200579 citations

Antiferromagnetic and thermodynamic properties of the three-dimensional Fermi-Hubbard model

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Antiferromagnetic and thermodynamic properties of the three-dimensional Fermi-Hubbard model

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