Granulated superconductors:from the nonlinear sigma model to the Bose-Hubbard description
Superconductivity
2009-10-31 v2 Mesoscale and Nanoscale Physics
Abstract
We modify a nonlinear sigma model (NLSM) for the description of a granulated disordered system in the presence of both the Coulomb repulsion and the Cooper pairing. We show that under certain controlled approximations this model is reduced to the Bose-Hubbard (or ``dirty-boson'') model with renormalized coupling constants. We obtain a more general effective action (which is still simpler than the full NLSM action) which can be applied in the region of parameters where the reduction to the Bose-Hubbard model is not justified. This action may lead to a different picture of the superconductor-insulator transition in 2D systems.
Keywords
Cite
@article{arxiv.cond-mat/0007317,
title = {Granulated superconductors:from the nonlinear sigma model to the Bose-Hubbard description},
author = {I. V. Yurkevich and Igor V. Lerner},
journal= {arXiv preprint arXiv:cond-mat/0007317},
year = {2009}
}
Comments
4 pages, revtex, no figures