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Percolation-Enhanced Localization in the Disordered Bosonic Hubbard Model

Sheshadri, K and Krishnamurthy, HR and Pandit, Rahul and Ramakrishnan, TV (1995) Percolation-Enhanced Localization in the Disordered Bosonic Hubbard Model. In: Physical Review Letters, 75 (22). pp. 4075-4078.

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We present a new (mean-field-RPA) study of the bosonic Hubbard model with chemical-potential disorder A at zero temperature. We get the fractional-filling phase diagram by monitoring sitedependent superfluid order parameters $\psi_i$ and fillings rc,. 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 $\psi_i$ at a critical $\Delta_c$: for $\Delta < \Delta_c$ sites with substantial $\psi$'s percolate across the lattice; for $\Delta > \Delta_c$ this percolation slops. This picture, though only approximately correct especially in low dimensions, should be relevant for Monte Carlo studies of the disordered bosonic Hubbard model.

Item Type: Journal Article
Publication: Physical Review Letters
Publisher: American Institute Of Physics
Additional Information: Cpyright of the article belongs to American Institute Of Physics.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 23 Jun 2007
Last Modified: 19 Sep 2010 04:38
URI: http://eprints.iisc.ac.in/id/eprint/11143

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