Localization of quasiparticles in a disordered vortex

Details Localization of quasiparticles in a disordered vortex Localization of quasiparticles in a disordered vortex

1998-06-14

arxiv.org/abs/cond-mat/9806172v2

Nucl. Phys. B 532 (1998) 689

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

38 pages, LaTeX2e + epsf, 4 eps figures, one reference added

Scientific paper

10.1016/S0550-3213(98)00566-5

We study the diffusive motion of low-energy normal quasiparticles along the core of a single vortex in a dirty, type-II, s-wave superconductor. The physics of this system is argued to be described by a one-dimensional supersymmetric nonlinear sigma model, which differs from the sigma models known for disordered metallic wires. For an isolated vortex and quasiparticle energies less than the Thouless energy, we recover the spectral correlations that are predicted by random matrix theory for the universality class C. We then consider the transport problem of transmission of quasiparticles through a vortex connected to particle reservoirs at both ends. The transmittance at zero energy exhibits a weak localization correction reminiscent of quasi-one-dimensional metallic systems with symmetry index beta = 1. Weak localization disappears with increasing energy over a scale set by the Thouless energy. This crossover should be observable in measurements of the longitudinal heat conductivity of an ensemble of vortices under mesoscopic conditions. In the regime of strong localization, the localization length is shown to decrease by a factor of 8 as the quasiparticle energy goes to zero.

Affiliated with

Also associated with

No associations

Rating

Localization of quasiparticles in a disordered vortex does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Localization of quasiparticles in a disordered vortex, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Localization of quasiparticles in a disordered vortex will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-515995