Level statistics inside the vortex of a superconductor and symplectic random matrix theory in an external source
arXiv:cond-mat/9902037 · doi:10.1103/PhysRevB.60.3589
Abstract
In the core of the vortex of a superconductor, energy levels appear inside the gap. We discuss here through a random matrix approach how these levels are broadened by impurities. It is first shown that the level statistics is governed by an ensemble consisting of a symplectic random potential added to a non-random matrix. A generalization of previous work on the unitary ensemble in the presence of an external source (which relied on the Itzykson-Zuber integral) is discussed for this symplectic case through the formalism introduced by Harish-Chandra and Duistermaat-Heckman. This leads to explicit formulae for the density of states and for the correlation functions, which describe the cross-over from the clean to the dirty limits.
34 pages, Revtex
References in corpus (5)
Cited by in corpus (12)
- Disordered 2d quasiparticles in class D: Dirac fermions with random mass, and dirty superconductors
- Tunneling Spectroscopy and Vortex Imaging in Boron-Doped Diamond
- Orbit measures, random matrix theory and interlaced determinantal processes
- Characteristic polynomials of random matrices at edge singularities
- Tilted elastic lines with columnar and point disorder, non-Hermitian quantum mechanics and spiked random matrices: pinning and localization
- Vortex core near planar defects in a clean layered superconductor
- Universal hard-edge statistics of non-Hermitian random matrices
- Determinantal process starting from an orthogonal symmetry is a Pfaffian process
- The energy-level statistics in the core of a vortex in a p-wave superconductor
- Vortex viscosity in the moderately clean limit of layered superconductors
- Vortex dissipation and level dynamics for the layered superconductors with impurities
- Characteristic Polynomials of Random Matrices and Noncolliding Diffusion Processes