Infinite randomness fixed point of the superconductor-metal quantum phase transition

TL;DR

This paper investigates how quenched disorder affects the superconductor-metal transition, revealing that it is governed by an infinite randomness fixed point similar to that in the random quantum Ising chain, through numerical analysis.

Contribution

It demonstrates that the superconductor-metal transition falls into the same universality class as the random quantum Ising chain's ferromagnetic transition, supported by numerical results.

Findings

Transition characterized by infinite randomness fixed point

Numerical determination of pairing eigenmodes

Supports universality with random quantum Ising chain

Abstract

We examine the influence of quenched disorder on the superconductor-metal transition, as described by a theory of overdamped Cooper pairs which repel each other. The self-consistent pairing eigenmodes of a quasi-one dimensional wire are determined numerically. Our results support the recent proposal by Hoyos et al. (arXiv:0705.1865) that the transition is characterized by the same strong disorder fixed point describing the onset of ferromagnetism in the random quantum Ising chain in a transverse field.