THERMODYNAMICS OF ANISOTROPIC-GAP AND MULTIBAND CLEAN BCS SUPERCONDUCTORS

2002/06/24 by Todor M. Mishonov, T. Mishonov, Evgeni S. Penev +1
Earth and Planetary Sciences · Physics and Astronomy · #Anisotropy #Band gap #Condensed matter physics #Energy (signal processing) #Ginzburg–Landau theory #High-pressure geophysics and materials #Jump #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Superconductivity #Superconductivity in MgB2 and Alloys #cond-mat.mtrl-sci #cond-mat.supr-con

paper · pdf · doi:10.1142/s0217979202012074

14 pages, 2 figures, LaTeX2e; v2: final version, references updated, to appear in Int. J. Mod. Phys. B

arxiv created 2002/06/24 · openalex publication_date 2002/09/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The free energy, non-gradient terms of the Ginzburg–Landau (GL) expansion, and the jump of the specific heat of a multiband anisotropic-gap BCS superconductor are derived in the framework of a separable-kernel approximation. Results for a two-band superconductor, d-wave superconductor, and some recent models for MgB 2 are worked out as special cases of the general approach. The classical results for the GL coefficients are derived in a simple way, directly from the general expression for the free energy of a BCS superconductor.

Citations

• The upper critical field problem in MgB2
• Macroscopic anisotropy in superconductors with anisotropic gaps
• Properties of boson-exchange superconductors
• Theory of Superconductivity
• Tight-binding modelling of the electronic band structure of layered superconducting perovskites
• Specific heat of MgB2in a one- and a two-band model from first-principles calculations
• Bardeen-Cooper-Schrieffer Theory of Superconductivity in the Case of Overlapping Bands