Boundary conditions, dimensionality, topology and size dependence of the superconducting transition temperature

Herman J. Fink, Stephen B. Haley, Claudiu V. Giuraniuc, Vladimir F. Kozhevnikov, Joseph O. Indekeu* (Corresponding Author)

*Corresponding author for this work

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

For various sample geometries (slabs, cylinders, spheres, hypercubes), de Gennes' boundary condition parameter b is used to study its effect upon the transition temperature Tc of a superconductor. For b > 0 the order parameter at the surface is decreased, and as a consequence Tc is reduced, while for b < 0 the order parameter at the surface is increased, thereby enhancing Tc of a specimen in zero magnetic field. Exact solutions, derived by Fink and Haley (Int. J. mod. Phys. B, 17, 2171 (2003)), of the order parameter of a slab of finite thickness as a function of temperature are presented, both for reduced and enhanced transition (nucleation) temperatures. At the nucleation temperature the order parameter approaches zero. This concise review closes with a link established between de Gennes' microscopic boundary condition and the Ginzburg-Landau phenomenological approach, and a discussion of some relevant experiments. For example, applying the boundary condition with b < 0 to tin whiskers elucidates the increase of Tc with strain.

Original languageEnglish
Pages (from-to)2969-2978
Number of pages10
JournalMolecular Physics
Volume103
Issue number21-23 SPEC. ISS.
DOIs
Publication statusPublished - 1 Nov 2005

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Transition Temperature
topology
transition temperature
Topology
Boundary conditions
boundary conditions
Vibrissae
Temperature
Tin
Nucleation
Magnetic Fields
slabs
Superconducting materials
nucleation
Magnetic fields
Geometry
temperature
tin
Experiments
geometry

ASJC Scopus subject areas

  • Biophysics
  • Molecular Biology
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry

Cite this

Boundary conditions, dimensionality, topology and size dependence of the superconducting transition temperature. / Fink, Herman J.; Haley, Stephen B.; Giuraniuc, Claudiu V.; Kozhevnikov, Vladimir F.; Indekeu, Joseph O. (Corresponding Author).

In: Molecular Physics, Vol. 103, No. 21-23 SPEC. ISS., 01.11.2005, p. 2969-2978.

Research output: Contribution to journalArticle

Fink, Herman J. ; Haley, Stephen B. ; Giuraniuc, Claudiu V. ; Kozhevnikov, Vladimir F. ; Indekeu, Joseph O. / Boundary conditions, dimensionality, topology and size dependence of the superconducting transition temperature. In: Molecular Physics. 2005 ; Vol. 103, No. 21-23 SPEC. ISS. pp. 2969-2978.
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