Fermion Analogy for Layered Superconducting Films in Parallel Magnetic Field

The equivalence between the Lawrence-Doniach model for films of extreme type-II layered superconductors and a generalization of the back-scattering model for spin-1/2 electrons in one dimension is demonstrated. This fermion analogy is then exploited to obtain an anomalous H ‖ tail for the parallel equilibrium magnetization of the minimal double layer case in the limit of high parallel magnetic fields H‖ for temperatures in the critical regime. PACS Indices: 74.20.De, 74.20.Mn, 74.60.-w * Present address. 1 The advent of high-temperature superconductors has re-invigorated the study of layered superconductivity, wherein adjacent layers are Josephson coupled. An issue that remains open is the question of whether or not layer decoupling occurs in the presence of a parallel magnetic field. The standard phenomenological model used to study this problem theoretically is given by the Lawrence-Doniach (LD) free-energy functional, which in the absence of fluctuations of the magnetic field reads ELD = J‖ [ N