Abstract
We use the stochastic series expansion (SSE) Quantum Monte Carlo algorithm to examine the effect of impurities, in the form of disordered chemical potential, on the phase diagram of the hardcore bosonic Hubbard model in two dimensions. This model is often used to study the properties of several physical systems such as Helium adsorbed on surfaces and granular superconductors. We show that in two dimensions, no matter how weak the disorder is, it will always destroy the long range density wave order (checkerboard solid) present at half filling and strong near neighbor (nn) repulsion. In addition part of the superfluid phase surrounding the checkerboard solid is also destroyed. We study properties of the glassy phase thus generated at strong nn coupling, and the possibility of other localized phases at weak nn repulsion, i.e. Anderson localization. The SSE algorithm is used to measure several physical quantities such as the superfluid density, energy gaps, equal and unequal time Green functions.
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Bernardet, K., Batrouni, G.G., Troyer, M., Dorneich, A. (2002). Destruction of Superfluid and Long Range Order by Impurities in Two Dimensional Systems. In: Krause, E., Jäger, W. (eds) High Performance Computing in Science and Engineering ’01. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56034-7_11
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DOI: https://doi.org/10.1007/978-3-642-56034-7_11
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