A two band model for superconductivity: probing interband pair formation

We propose a two band model for superconductivity. It turns out that the simplest nontrivial case considers solely interband scattering, and both bands can be modeled as symmetric (around the Fermi level) and flat, thus each band is completely characterized by its half-band width Wn (n=1,2). A useful dimensionless parameter is d, proportional to W2 - W1. The case delta = 0 retrieves the conventional BCS model. We probe the specific heat, the ratio gap over critical temperature, the thermodynamic critical field and tunneling conductance as functions of d and temperature (from zero to Tc). We compare our results with experimental results for MgB2 and good quantitative agreement is obtained, indicating the relevance of interband coupling. Work in progress also considers the inclusion of band hybridization and general interband as well as intra-band scattering mechanisms.

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Main Authors: Lagos,R. E., Cabrera,G. G.
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Física 2003
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332003000400015
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spelling oai:scielo:S0103-973320030004000152005-11-25A two band model for superconductivity: probing interband pair formationLagos,R. E.Cabrera,G. G.We propose a two band model for superconductivity. It turns out that the simplest nontrivial case considers solely interband scattering, and both bands can be modeled as symmetric (around the Fermi level) and flat, thus each band is completely characterized by its half-band width Wn (n=1,2). A useful dimensionless parameter is d, proportional to W2 - W1. The case delta = 0 retrieves the conventional BCS model. We probe the specific heat, the ratio gap over critical temperature, the thermodynamic critical field and tunneling conductance as functions of d and temperature (from zero to Tc). We compare our results with experimental results for MgB2 and good quantitative agreement is obtained, indicating the relevance of interband coupling. Work in progress also considers the inclusion of band hybridization and general interband as well as intra-band scattering mechanisms.info:eu-repo/semantics/openAccessSociedade Brasileira de FísicaBrazilian Journal of Physics v.33 n.4 20032003-12-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332003000400015en10.1590/S0103-97332003000400015
institution SCIELO
collection OJS
country Brasil
countrycode BR
component Revista
access En linea
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region America del Sur
libraryname SciELO
language English
format Digital
author Lagos,R. E.
Cabrera,G. G.
spellingShingle Lagos,R. E.
Cabrera,G. G.
A two band model for superconductivity: probing interband pair formation
author_facet Lagos,R. E.
Cabrera,G. G.
author_sort Lagos,R. E.
title A two band model for superconductivity: probing interband pair formation
title_short A two band model for superconductivity: probing interband pair formation
title_full A two band model for superconductivity: probing interband pair formation
title_fullStr A two band model for superconductivity: probing interband pair formation
title_full_unstemmed A two band model for superconductivity: probing interband pair formation
title_sort two band model for superconductivity: probing interband pair formation
description We propose a two band model for superconductivity. It turns out that the simplest nontrivial case considers solely interband scattering, and both bands can be modeled as symmetric (around the Fermi level) and flat, thus each band is completely characterized by its half-band width Wn (n=1,2). A useful dimensionless parameter is d, proportional to W2 - W1. The case delta = 0 retrieves the conventional BCS model. We probe the specific heat, the ratio gap over critical temperature, the thermodynamic critical field and tunneling conductance as functions of d and temperature (from zero to Tc). We compare our results with experimental results for MgB2 and good quantitative agreement is obtained, indicating the relevance of interband coupling. Work in progress also considers the inclusion of band hybridization and general interband as well as intra-band scattering mechanisms.
publisher Sociedade Brasileira de Física
publishDate 2003
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332003000400015
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