Granular superconductors:from the nonlinear σ model to the Bose-Hubbard description

Abstract

We modify a nonlinear σ model (NLσM) for the description of a granular disordered system in the presence of both the Coulomb repulsion and the Cooper pairing. We show that under certain controlled approximations the action of this model is reduced to the Ambegaokar-Eckern-Schön (AES) action, which is further reduced to the Bose-Hubbard (or “dirty-boson”) model with renormalized coupling constants. We obtain an effective action which is more general than the AES one but still simpler than the full NLσM action. This action can be applied in the region of parameters where the reduction to the AES or the Bose-Hubbard model is not justified. This action may lead to a different picture of the superconductor-insulator transition in two-dimensional systems.

Publication DOI: https://doi.org/10.1103/PhysRevB.64.054515
Additional Information: ©2001 American Physical Society. Granular superconductors: From the nonlinear σ model to the Bose-Hubbard description. I. V. Yurkevich and Igor V. Lerner. Phys. Rev. B 64, 054515 – Published 16 July 2001
Uncontrolled Keywords: EMTREE medical terms:,mathematical analysis,conductor,energy,kinetics,mathematical parameters,article,model
Publication ISSN: 1550-235X
Last Modified: 08 Dec 2023 09:35
Date Deposited: 23 Dec 2014 15:55
Full Text Link: http://arxiv.or ... ond-mat/0007317
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
http://link.aps ... PRB/v64/e054515 (Publisher URL)
PURE Output Type: Article
Published Date: 2001-07-16
Authors: Yurkevich, I.V. (ORCID Profile 0000-0003-1447-8913)
Lerner, Igor V.

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