Monte Carlo simulations of a disordered superconductor-metal quantum phase transition

Abstract

We investigate the quantum phase transitions of a disordered nanowire from superconducting to metallic behavior by employing extensive Monte Carlo simulations. To this end, we map the quantum action onto a (1+1)-dimensional classical XY model with long-range interactions in imaginary time. We then analyze the finite-size scaling behavior of the order parameter susceptibility, the correlation time, the superfluid density, and the compressibility. We find strong numerical evidence for the critical behavior to be of infinite-randomness type and to belong to the random transverse-field Ising universality class, as predicted by a recent strong disorder renormalization group calculation.PACS. 64.70.Tg 74.40.Kb arXiv:1808.00094v2 [cond-mat.str-el]

Strong disorder RG approach – a short review of recent developments

“…An Infinite-Randomness Fixed Point has also been found for the Superconductor-Metal Quantum Phase Transition [85][86][87][88].…”