Monte Carlo Simulations of a Disordered Superconductor-Metal Quantum Phase Transition

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 show that the critical behavior belongs to the random transverse-field Ising universality class as predicted by a strong disorder renormalization group calculation [1]. We also study transport properties of the system such as the dynamic conductivity.

[1] José A. Hoyos, Chetan Kotabage, and Thomas Vojta. Effects of Dissipation on a Quantum Critical Point with Disorder.Phys. Rev. Lett. 99, 230601 (2007).