Granular superconductors

from the nonlinear σ model to the Bose-Hubbard description

I.V. Yurkevich, Igor V. Lerner

Research output: Contribution to journalArticle

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.
Original languageEnglish
Article number054515
Number of pages5
JournalPhysical Review B
Volume64
Issue number5
DOIs
Publication statusPublished - 16 Jul 2001

Fingerprint

Superconducting materials
Hubbard model
Bosons
bosons
insulators
approximation

Bibliographical note

©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

Keywords

  • EMTREE medical terms:
  • mathematical analysis
  • conductor
  • energy
  • kinetics
  • mathematical parameters
  • article
  • model

Cite this

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Granular superconductors : from the nonlinear σ model to the Bose-Hubbard description . / Yurkevich, I.V.; Lerner, Igor V.

In: Physical Review B, Vol. 64, No. 5, 054515, 16.07.2001.

Research output: Contribution to journalArticle

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AU - Yurkevich, I.V.

AU - Lerner, Igor V.

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