Effect of particle statistics in strongly correlated two-dimensional Hubbard models

Abstract

We study the onset of particle statistics effects as the temperature is lowered in strongly correlated two-dimensional Hubbard models. We utilize numerical linked-cluster expansions and focus on the properties of interacting lattice fermions and two-component hard-core bosons. In the weak-coupling regime, where the ground state of the bosonic system is a superfluid, the thermodynamic properties of the two systems at half filling exhibit very large differences even at high temperatures. In the strong-coupling regime, where the low-temperature behavior is governed by a Mott insulator for either particle statistics, the agreement between the thermodynamic properties of both systems extends to regions where the antiferromagnetic (iso)spin correlations are exponentially large. We analyze how particle statistics affects adiabatic cooling in those systems.

9 pages, 8 figures

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• Finite-temperature superconducting correlations of the Hubbard model
• Magnon heat transport in a two-dimensional Mott insulator
• Thermodynamics of the disordered Hubbard model studied via numerical linked-cluster expansions
• Quantitative assessment of the universal thermopower in the Hubbard model
• Thermodynamics of the Hubbard Model on the Bethe Lattice
• Effect of Quantum Statistics on Computational Power of Atomic Quantum Annealers
• Magnetostriction in the $J$-$K$-$\Gamma$ model: Application of the numerical linked cluster expansion