Publication Date

10-15-2021

Document Type

Article

Publication Title

Physical Review B

Volume

104

Issue

16

DOI

10.1103/PhysRevB.104.165102

Abstract

The interplay of disorder and strong correlations in quantum many-body systems remains an open question. That is despite much progress made in recent years with ultracold atoms in optical lattices to better understand phenomena such as many-body localization or the effect of disorder on Mott metal-insulator transitions. Here, we utilize the numerical linked-cluster expansion technique, extended to treat disordered quantum lattice models, and study exact thermodynamic properties of the disordered Fermi-Hubbard model on the square and cubic geometries. We consider box distributions for the disorder in the onsite energy, the interaction strength, as well as the hopping amplitude and explore how energy, double occupancy, entropy, heat capacity, and magnetic correlations of the system in the thermodynamic limit evolve as the strength of disorder changes. We compare our findings with those obtained from determinant quantum Monte Carlo simulations and discuss the relevance of our results to experiments with cold fermionic atoms in optical lattices.

Funding Number

DMR-1918572

Funding Sponsor

National Science Foundation

Comments

This article originally appeared in Physical Review B, volume 104, issue 16, 2021, published by the American Physical Society. ©2021 American Physical Society. The article can also be found online at this link.

Department

Physics and Astronomy

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