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arxiv: 1808.00094 · v2 · pith:GWO7TEJ3new · submitted 2018-07-31 · ❄️ cond-mat.str-el · cond-mat.dis-nn· cond-mat.supr-con

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

classification ❄️ cond-mat.str-el cond-mat.dis-nncond-mat.supr-con
keywords behaviorquantumcarlodisorderedmontephasesimulationsstrong
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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.

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