Granulated superconductors:from the nonlinear sigma model to the Bose-Hubbard description

Details Granulated superconductors:from the nonlinear sigma model to the Bose-Hubbard description Granulated superconductors:from the nonlinear sigma model to the Bose-Hubbard description

2000-07-20

arxiv.org/abs/cond-mat/0007317v2

Phys. Rev. B64, 054515 (2001)

Physics

Condensed Matter

Superconductivity

4 pages, revtex, no figures

Scientific paper

10.1103/PhysRevB.64.054515

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.

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