The van Hove Singularity and Two-Dimensional Superconductivity. Exact Analytical Results

• Authors: R. Szczęśniak , S. Grabiński
• Languages of publication: EN

Abstracts

EN

We investigate a weak-coupling approach to superconductivity in the density of states that develops in the two-dimensional lattice with the van Hove singularity located at the Fermi level. Exact analytical expressions for the superconducting order parameter at zero temperature (Δ(0)) and for discontinuity in the specific heat at critical temperature (Δ C) were derived. We show that the presence of the logarithmic singularity hardly affects the ratio 2Δ(0)/kT_c, whereas the temperature dependence of Δ C can pronouncedly deviate from the standard BCS result.

Keywords

EN

74.25.Kc

Discipline

• 74.25.Kc: Phonons

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2002
• Volume: 102
• Issue: 3
• Pages: 401-407

Dates

published

2002-09

received

2001-10-08

(unknown)

2002-03-11

Contributors

author

R. Szczęśniak

• Department of Theoretical Physics, Institute of Physics, University of Silesia, Uniwersytecka 4, 40-007 Katowice, Poland

author

S. Grabiński

• Silesian Academy of Medicine, Institute of Biophysics, 40-007 Katowice, Poland

References

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Identifiers

DOI

10.12693/APhysPolA.102.401