Fermion Analogy for Layered Superconducting Films in Parallel Magnetic Field

TL;DR

This paper establishes a fermion analogy for layered superconducting films in parallel magnetic fields, leading to new insights into their magnetization behavior at high fields.

Contribution

It introduces a novel fermion analogy for the Lawrence-Doniach model, enabling analysis of magnetization tails in layered superconductors.

Findings

Derived an anomalous inverse magnetic field tail in magnetization.

Linked superconducting film behavior to a fermionic model.

Provided analytical results for high-field regimes.

Abstract

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 $H_{\parallel}^{-1}$ tail for the parallel equilibrium magnetization of the minimal double layer case in the limit of high parallel magnetic fields $H_{\parallel}$ for temperatures in the critical regime.