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arXiv:2302.04696 · Physica Scripta

Strong-coupling mean-field and classical percolation approach to produce the phase diagram of disordered Bose–Hubbard model at fixed n = 1 filling

Manjari Gupta

Published May 10, 2024• 1 citation
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Abstract

Abstract We perform strong-coupling mean-field along with classical percolation analysis to produce the phase diagram of disordered Bose–Hubbard model with chemical potential disorder in two dimensional square lattice. The phase diagram in the disorder strength (Δ) and the on-site repulsion (U), for two and three dimensional system at fixed n = 1 filling show interesting re-entrant superfluid phase sandwiched between Bose-glass phases, as observed by the previous QMC results. We produce the phase diagram exhibiting the re-entrant phenomenon as well as phenomenologically demonstrate the robustness of the re-entrant phenomena within this method. We also discuss the importance of the method and applicability in further analysis of the same phase diagram.

DOI
10.1088/1402-4896/ad49db

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Abstract We perform strong-coupling mean-field along with classical percolation analysis to produce the phase diagram of disordered Bose–Hubbard model with chemical potential disorder in two dimensional square lattice. The phase diagram in the disorder strength (Δ) and the on-site repulsion (U), for two and three dimensional system at fixed n = 1 filling show interesting re-entrant superfluid phase sandwiched between Bose-glass phases, as observed by the previous QMC results. We produce the phase diagram exhibiting the re-entrant phenomenon as well as phenomenologically demonstrate the robustness of the re-entrant phenomena within this method. We also discuss the importance of the method and applicability in further analysis of the same phase diagram.
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We present a new (mean-field-RPA) study of the bosonic Hubbard model with chemical-potential disorder $\ensuremath{\Delta}$ at zero temperature. We get the fractional-filling phase diagram by monitoring site-dependent superfluid order parameters ${\ensuremath{\psi}}_{i}$ and fillings ni{n}_{i}ni​. Our theory suggests a new physical picture for the superfluid-Bose glass transition, as a localization transition enhanced by the percolation of sites with negligible ${\ensuremath{\psi}}_{i}$ at a critical ${\ensuremath{\Delta}}_{c}$: for $\ensuremath{\Delta}<{\ensuremath{\Delta}}_{c}$ sites with substantial ${\ensuremath{\psi}}_{i}'\mathrm{s}$ percolate across the lattice; for $\ensuremath{\Delta}>{\ensuremath{\Delta}}_{c}$ this percolation stops. This picture, though only approximately correct especially in low dimensions, should be relevant for Monte Carlo studies of the disordered bosonic Hubbard model.
Abstract We study the effects of an on-site disorder potential in a gas of spinor (spin-1) ultracold atoms loaded in an optical lattice corresponding to both ferromagnetic and antiferromagnetic spin-dependent interactions. Starting with a disordered spinor Bose–Hubbard model (SBHM) on a two-dimensional square lattice, we observe the appearance of a Bose glass phase using the fraction of the lattice sites having finite superfluid order parameter and non integer local densities as an indicator. A precise distinction between three different types of phases namely, superfluid, Mott insulator and Bose glass is done via a percolation analysis thereby demonstrating that a reliable enumeration of phases is possible at particular values of the parameters of the SBHM. Finally, we present the phase diagram based on the above information for both antiferromagnetic and ferromagnetic interactions.