Properties of the Coherence Length and Van Hove Singularity in High-Tc Superconductors

Authors

  • A. Bechlaghem Faculté des Sciences de la Nature et de la Vie, Université d’Oran, Es-sénia, 31100, Algeria

DOI:

https://doi.org/10.15379/2408-977X.2015.02.01.3

Keywords:

Superconductivity, Density of states, Coherence length, Fermi velocity, Fermi energy, Gap energy, Van Hove singularity, Phonon-interaction, Effective mass, Coulomb repulsion.

Abstract

High- superconductors are characterized by a short coherence length . From the quasi-2D structure of these compounds, we calculate the density of states , the Fermi velocity and the gap energy . From these parameters, we deduce a formula of the coherence length . We study the effect of the phonon-interaction , the effective mass of carriers and the Coulomb repulsion on the coherence length . We show that when the coupling constant is in the range 0.06 – 0.30 and the effective mass is between 2m0 and 6m0 (m0 is the free electron mass), the values obtained of the coherence length and the gap energy are in a good agreement with experimental results.

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Published

2015-06-15

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Vol. 2 No. 1 (2015)

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