International Journal of Advanced Applied Physics Research  (Volume 2 Issue 1)
 Properties of the Coherence Length and Van Hove Singularity in High-Tc Superconductors International Journal of Advanced Applied Physics Research
Pages 19-30


A. Bechlaghem

DOI: http://dx.doi.org/10.15379/2408-977X.2015.02.01.3

Published: 15 June 2015
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.
Keywords
  Superconductivity, Density of states, Coherence length, Fermi velocity, Fermi energy, Gap energy, Van Hove singularity, Phonon-interaction, Effective mass, Coulomb repulsion.
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