Size and shape of Mott regions for fermionic atoms in a two-dimensional optical lattice

Tiago Mendes-Santos, Thereza Paiva, and Raimundo R. dos Santos
Phys. Rev. A 91, 023632 – Published 27 February 2015

Abstract

We investigate the harmonic-trap control of the size and shape of Mott regions in the Fermi-Hubbard model on a square optical lattice. The use of Lanczos diagonalization on clusters with twisted boundary conditions, followed by an average over 50–80 samples, drastically reduces finite-size effects in some ground-state properties; calculations in the grand-canonical ensemble together with a local-density approximation allow us to simulate the radial density distribution. We have found that as the trap closes, the atomic cloud goes from a metallic state to a Mott core and to a Mott ring; the coverage of Mott atoms reaches a maximum at the core-ring transition. A “phase diagram” in terms of an effective density and of the on-site repulsion is proposed as a guide to maximize the Mott coverage. We also predict that the usual experimentally accessible quantities, the global compressibility and the average double occupancy (rather, its density derivative), display detectable signatures of the core-ring transition. Some spin-correlation functions are also calculated and predict the existence Néel-like ordering within Mott cores and rings.

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  • Received 11 November 2014

DOI:https://doi.org/10.1103/PhysRevA.91.023632

©2015 American Physical Society

Authors & Affiliations

Tiago Mendes-Santos, Thereza Paiva, and Raimundo R. dos Santos

  • Instituto de Física, Universidade Federal do Rio de Janeiro, Caixa Postal 68528, 21941-972 Rio de Janeiro, RJ, Brazil

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Issue

Vol. 91, Iss. 2 — February 2015

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