Random Matrix Model for Superconductors in a Magnetic Field

TL;DR

This paper develops a random matrix model to analyze the excitation spectrum of bulk type-II superconductors in a magnetic field, revealing more low energy states than traditional theories and aligning with experimental data.

Contribution

Introduces a novel random matrix ensemble for superconductors in a magnetic field, providing a new theoretical framework for excitation spectra analysis.

Findings

More low energy states observed than in traditional models

Model results agree with tunnel junction experiments

Provides new insights into superconductor behavior in magnetic fields

Abstract

We introduce a random matrix ensemble for bulk type-II superconductors in the mixed state and determine the single-particle excitation spectrum using random matrix theory. The results are compared with planar tunnel junction experiments in PbBi thin films. More low energy states appear than in the Abrikosov-Gor'kov-Maki or Ginzburg-Landau descriptions, consistent with observations.