English

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

Strongly Correlated Electrons 2019-01-01 v2 Disordered Systems and Neural Networks Superconductivity

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.

Keywords

Cite

@article{arxiv.1808.00094,
  title  = {Monte Carlo simulations of a disordered superconductor-metal quantum phase transition},
  author = {Ahmed K. Ibrahim and Thomas Vojta},
  journal= {arXiv preprint arXiv:1808.00094},
  year   = {2019}
}

Comments

9 pages, 9 figures included, final version as published