CRITICAL FIELD RATIO HC3/HC2 FOR PURE SUPERCONDUCTORS OUTSIDE THE LANDAU-GINZBURG REGION. I. T APPROX. 0 DEG. K.
Abstract
In this paper and a subsequent one (Part II) we study the nucleation of superconductivity near a sample surface at temperatures outside the Landau-Ginzburg region. We develop a generalized image method to solve for the normal electron temperature-Green's-function, for a semi-infinite sample with a specularly reflective plane boundary, in an external magnetic field. Gor'kov's linearized gap equation is then obtained and studied for such a sample geometry. The pair wave function delta is found to obey the Landau-Ginzburg boundary condition at all T<Tc, even though this boundary condition was originally suggested only for the Landau-Ginzburg region (i.e. when Tc-T<<Tc). However, we also find that merely adding the boundary condition to the differential equation appropriate to the bulk case, does not give the correct solution to the problem, except when Tc-T<<Tc. At T = 0 K, the integral gap equation is solved by a variational approach, yielding the critical field ratio Hc3/Hc2 > or = 1.925. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1968
- Accession Number
- AD0675051
Entities
People
- Chia-ren Hu
- Victor Korenman
Organizations
- University of Maryland