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Analytic Solution of the BCS Gap Equation with a Logarithmic Singularity in the Density of States

✍ Scribed by A. Bhardwaj; S.K. Muthu

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
195 KB
Volume
213
Category
Article
ISSN
0370-1972

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✦ Synopsis

The Bardeen-Cooper-Schrieffer (BCS) gap equation is solved analytically for a density of states function with a logarithmic singularity. It is an extension of our earlier work where we had assumed a constant density of states. We continue to work in the weak-coupling limit and consider both phononic and non-phononic pairings. Expressions are obtained for T c , D 0 (the gap at T 0), and the jump in the electronic specific heat at T T c . We also calculate the isotope exponent and show that it is possible to reproduce the broad features of the experimental results in this framework.

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