Random Matrix Model for Superconductors in a Magnetic Field

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.

4 pages, 1 postscript figure, to appear in Phys. Rev. Lett

References in corpus (5)

• 2D Gravity and Random Matrices
• Correlation Functions in Disordered Systems
• Oscillating density of states near zero energy for matrices made of blocks with possible application to the random flux problem
• Magnetic Oscillations and Quasiparticle Band Structure in the Mixed State of Type-II Superconductors
• Non-perturbative Effects Near the Upper Critical Field in Type-II Superconductors

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• Large deviations of extreme eigenvalues of generalized sample covariance matrices
• A new strategy for directly calculating the minimum eigenvector of matrices without diagonalization
• Establishing simple relationship between eigenvector and matrix elements