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

Author

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  • Ahmed K. Ibrahim

    (Missouri University of Science and Technology)

  • Thomas Vojta

    (Missouri University of Science and Technology)

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. Graphical abstract

Suggested Citation

  • Ahmed K. Ibrahim & Thomas Vojta, 2018. "Monte Carlo simulations of a disordered superconductor-metal quantum phase transition," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(12), pages 1-9, December.
    • Handle: RePEc:spr:eurphb:v:91:y:2018:i:12:d:10.1140_epjb_e2018-90497-5
    DOI: 10.1140/epjb/e2018-90497-5
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    Cited by:

    1. Ferenc Iglói & Cécile Monthus, 2018. "Strong disorder RG approach – a short review of recent developments," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(11), pages 1-25, November.

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    Keywords

    Solid State and Materials;

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