Home | About | Browse | Latest Additions | Advanced Search | Contact | Help

# 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.

 PDF Percolation-1.pdf Restricted to Registered users only Download (909Kb) | Request a copy

## Abstract

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 Cpyright of the article belongs to American Institute Of Physics. Division of Physical & Mathematical Sciences > Physics 23 Jun 2007 19 Sep 2010 04:38 http://eprints.iisc.ernet.in/id/eprint/11143

### Actions (login required)

 View Item