CRITICAL FIELD RATIO Hc3/Hc2 FOR PURE SUPERCONDUCTORS OUTSIDE THE LANDAU-GINZBURG REGION. II. T APPROXIMATELY EQUAL TO Tc.
Abstract
The appropriate generalization of Gor'kov's linearized gap equation for a pure, weak coupling, semiinfinite superconductor in a magnetic field, separated from vacuum or an insulator by a specularly reflecting surface, was found in a previous paper. In that paper we used the gap equation to study the surface nucleation critical field Hc3 at T approx. 0 deg. K. Here we study the region T approx. Tc and find the first three non-trivial terms in an expansion of the ratio Hc3(T)/Hc2(T) to be 1.695 (1 + 0.614 (1-t) - 0.577 (1-t) to the 3/2 power) where t is identically equal to T/Tc. The term linear in (1-t) has been found previously but the last term is new. For T close enough to Tc we show that the system is accurately described by the linearized Landau-Ginzburg equation with the usual boundary condition and thus regain the results of Saint James and de Gennes. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1969
- Accession Number
- AD0684108
Entities
People
- Chia-ren Hu
- Victor Korenman
Organizations
- University of Maryland