Quantum Monte Carlo simulation of thermodynamic properties of SU(2N) ultracold fermions in optical lattices

Abstract

We have systematically studied the thermodynamic properties of a two-dimensional half-filled SU(2N) Hubbard model on a square lattice by using the determinant quantum Monte Carlo method. The entropy-temperature relation, the isoentropy curve, and the probability distribution of the onsite occupation number are calculated in both SU(4) and SU(6) cases, which exhibit prominent features of the Pomeranchuk effect. We analyze these thermodynamic behaviors based on charge and spin energy scales. In the charge channel, the interaction strength that marks the crossover from the weak to strong interaction regimes increases with the number of fermion components. In the spin channel, increasing the number of fermion components enhances quantum spin fluctuations, which is shown in the simulations of uniform spin susceptibilities and antiferromagnetic structure factors.

10 pages, 6 figures

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Cited by in corpus (16)

• Geometry Dependence of the Sign Problem
• Observation of antiferromagnetic correlations in an ultracold SU($N$) Hubbard model
• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• A beginner's guide to non-abelian iPEPS for correlated fermions
• Variational Monte-Carlo investigation of SU($N$) Heisenberg chains
• Structure of Spin Correlations in High Temperature SU($N$) Quantum Magnets
• Finite-temperature valence-bond-solid transitions and thermodynamic properties of interacting SU($2N$) Dirac fermions
• Exact diagonalization of $\mathrm{SU}(N)$ Heisenberg and AKLT chains using the full $\mathrm{SU}(N)$ symmetry
• Many-body Physics of Ultracold Alkaline-Earth atoms with SU($N$)-symmetric interactions
• Breaking of SU(4) symmetry and interplay between strongly correlated phases in the Hubbard model
• Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions
• Relation between the noise correlations and the spin structure factor for Mott-insulating states in SU$(N)$ Hubbard models
• Transition from band insulator to Mott insulator and formation of local moment in half-filled ionic SU($N$) Hubbard model
• Quantum Monte Carlo simulations of thermodynamic properties of attractive SU($3$) Dirac fermions
• Coexisting Néel and charge density wave orders in attractive three-color fermions
• Trion ordering in the attractive three-color Hubbard model on a $\pi$-flux square lattice