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International Journal of Modern Physics C

MONTE CARLO SIMULATION OF RANDOM BOSON HUBBARD MODEL

Naomichi Hatano

Published Jun 1, 1996• 2 citations
Publisher

Abstract

A Monte Carlo algorithm for the random Boson Hubbard model is reported. The analytic expression of the matrix elements is presented, and the ergodicity of the Monte Carlo flips is discussed. The results in one dimension supports a previously proposed perturbational scaling argument.
DOI
10.1142/s0129183196000405

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We study the effect of diagonal disorder on a one-dimensional (1-D) Hubbard model by means of a Monte Carlo simulation. Contrary to previous analytical studies of interacting disordered systems in one dimension, the numerical simulation is not restricted to the weak coupling regime in disorder and/or interaction. Quantum fluctuations are introduced using the scheme developed by J. Hirsch [Phys. Rev. B 31, 4403 (1985)] for Grand Canonical ensembles and arbitrary dimensions. A second Monte Carlo loop creates the configurations for the disorder potential. Preliminary results for various correlation functions are presented.
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