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.

arXiv comment9 pages, 8 figures

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• Observation of Spatial Charge and Spin Correlations in the 2D Fermi-Hubbard Model
• Spin Transport in a Mott Insulator of Ultracold Fermions
• A Short Introduction to Numerical Linked-Cluster Expansions
• The pyrochlore S=1/2 Heisenberg antiferromagnet at finite temperature
• Possible inversion symmetry breaking in the $S=1/2$ pyrochlore Heisenberg magnet
• Equation of State of the Fermionic 2D Hubbard Model
• Correlated Topological Phases and Exotic Magnetism with Ultracold Fermions
• Three-dimensional Hubbard model in the thermodynamic limit
• Finite-temperature superconducting correlations of the Hubbard model
• Entropy in the non-Fermi-liquid regime of the doped $2d$ Hubbard model
• Finite-temperature properties of strongly correlated fermions in the honeycomb lattice
• Magnon heat transport in a two-dimensional Mott insulator
• Lanczos Boosted Numerical Linked-Cluster Expansion for Quantum Lattice Models
• Numerical linked-cluster expansions for disordered lattice models
• Thermodynamics of the disordered Hubbard model studied via numerical linked-cluster expansions
• Quantitative assessment of the universal thermopower in the Hubbard model
• Bosonic t-J Model in a stacked triangular lattice and its phase diagram
• Complex phases in the doped two-species bosonic Hubbard Model
• Thermodynamics of the Hubbard Model on the Bethe Lattice
• Magnetostriction in the $J$-$K$-$\Gamma$ model: Application of the numerical linked cluster expansion
• Effect of Quantum Statistics on Computational Power of Atomic Quantum Annealers