Quantum Monte Carlo study of mass-imbalanced Hubbard models

Abstract

Building on recent solutions of the fermion sign problem for specific models we present two continuous-time quantum Monte Carlo methods for efficient simulation of mass-imbalanced Hubbard models on bipartite lattices at half-filling. For both methods we present the solutions to the fermion sign problem and the algorithms to achieve efficient simulations. As applications, we calculate the dependence of the spin correlation on the mass imbalance in a one-dimensional lattice and study the thermal and quantum phase transitions to an antiferromagnetic Ising long-range ordered state in two dimensions. These results offer unbiased predictions for experiments on ultracold atoms and bridge known exact solutions of Falicov-Kimball model and previous studies of the SU(2)-symmetric Hubbard model.

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Cited by in corpus (22)

• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Majorana Positivity and the Fermion sign problem of Quantum Monte Carlo Simulations
• Sign-Problem-Free Fermionic Quantum Monte Carlo: Developments and Applications
• Complex Langevin and other approaches to the sign problem in quantum many-body physics
• Split orthogonal group: A guiding principle for sign-problem-free fermionic simulations
• Interaction-tuned Anderson versus Mott localization
• Surmounting the sign problem in non-relativistic calculations: a case study with mass-imbalanced fermions
• Recommender Engine for Continuous Time Quantum Monte Carlo Methods
• Stochastic series expansion simulation of the $t$-$V$ model
• Magnetic, thermodynamic, and dynamical properties of the three-dimensional fermionic Hubbard model: A comprehensive Monte Carlo study
• Mass-Imbalanced Ionic Hubbard Chain
• Mott-Hubbard transition in the mass-imbalanced Hubbard model
• Generalized Falicov-Kimball Models
• Orbital-selective thermalization plateau in the mass imbalanced Hubbard model
• Ising phase transitions and thermodynamics of correlated fermions in a two-dimensional spin-dependent lattice potential
• Ising Antiferromagnet in the 2D Hubbard Model with Mismatched Fermi Surfaces
• Dynamical recovery of SU(2) symmetry in the mass-quenched Hubbard model
• Triplet Superfluidity on a triangular ladder with dipolar fermions
• Coexisting Néel and charge density wave orders in attractive three-color fermions
• Quantum Monte Carlo study of the metal-insulator crossover in the square-lattice Hubbard model
• Unit-density SU(3) Fermi-Hubbard Model with Spin Flavor Imbalance
• Interplay of mass imbalance and frustration in correlated band insulators