Quasiparticle Localization Transition in Dirty Superconductors

Abstract

In this paper, a delocalization-localization transition within the superconducting state is explored. The symmetries of the Bogoliubov deGennes Hamiltonian endow the two associated superconducting phases - the thermal metal and the thermal insulator-, and the critical point between them with properties that are in stark contrast with analogous phases in normal systems. Here, for systems preserving spin rotational invariance and time reversal symmetry in three dimensions, the transition is shown to be of a different universality class from its normal partner by extracting and comparing the localization length exponent. The density of states, which may be regarded as the 'order parameter' for the field theory describing the superconducting system, is studied for its unusual properties about criticality.

11 pages, 11 figures

References in corpus (5)

• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Quasiparticle localization in superconductors with spin-orbit scattering
• Localization and delocalization in dirty superconducting wires
• Inhomogeneous order-parameter suppression in disordered d-wave superconductors
• Superconducting ``metals'' and ``insulators''

Cited by in corpus (5)

• InAs-Al Hybrid Devices Passing the Topological Gap Protocol
• Density of quasiparticle states for a two-dimensional disordered system: Metallic, insulating, and critical behavior in the class D thermal quantum Hall effect
• Theory of the pairbreaking superconductor-metal transition in nanowires
• Resilience of Majorana Fermions in the face of Disorder
• AC Conductivity Crossover in Localized Superconductors