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Title: Validity of the BCS model Hamiltonian in the limit of small sizes

Abstract

Finite-size effects when the electronic level spacings become comparable to the bulk superconducting gap can suppress pairing correlations in small metallic particles. We examine an alternative mechanism for finite-size suppression of superconductivity: the role of the nonpair portion of the interaction, which could become important in small systems. We show that the crossover size at which the nonpair contribution becomes significant is typically already within the regime wherein finite level spacing suppresses the pairing correlations; however, the nonpair terms could become relevant in certain weak-coupled superconductors.

Authors:
;
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Director, Office of Science. Office of Basic Energy Studies. Division of Materials Sciences; National Science Foundation (US)
OSTI Identifier:
788057
Report Number(s):
LBNL-48699
R&D Project: 506501; TRN: US0110856
DOE Contract Number:  
AC03-76SF00098
Resource Type:
Journal Article
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 62; Journal Issue: 13; Other Information: Journal Publication Date: 1 October 2000; PBD: 30 Apr 2000
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 36 MATERIALS SCIENCE; BCS THEORY; ENERGY GAP; HAMILTONIANS; SUPERCONDUCTIVITY; SUPERCONDUCTORS

Citation Formats

Crespi, Vincent H., and Cohen, Marvin L. Validity of the BCS model Hamiltonian in the limit of small sizes. United States: N. p., 2000. Web. doi:10.1103/PhysRevB.62.8669.
Crespi, Vincent H., & Cohen, Marvin L. Validity of the BCS model Hamiltonian in the limit of small sizes. United States. doi:10.1103/PhysRevB.62.8669.
Crespi, Vincent H., and Cohen, Marvin L. Sun . "Validity of the BCS model Hamiltonian in the limit of small sizes". United States. doi:10.1103/PhysRevB.62.8669.
@article{osti_788057,
title = {Validity of the BCS model Hamiltonian in the limit of small sizes},
author = {Crespi, Vincent H. and Cohen, Marvin L.},
abstractNote = {Finite-size effects when the electronic level spacings become comparable to the bulk superconducting gap can suppress pairing correlations in small metallic particles. We examine an alternative mechanism for finite-size suppression of superconductivity: the role of the nonpair portion of the interaction, which could become important in small systems. We show that the crossover size at which the nonpair contribution becomes significant is typically already within the regime wherein finite level spacing suppresses the pairing correlations; however, the nonpair terms could become relevant in certain weak-coupled superconductors.},
doi = {10.1103/PhysRevB.62.8669},
journal = {Physical Review B},
number = 13,
volume = 62,
place = {United States},
year = {2000},
month = {4}
}