Random gauge models of the superconductor-insulator transition in two-dimensional disordered superconductors

Abstract

We study numerically the superconductor-insulator transition in two-dimensional inhomogeneous superconductors with gauge disorder, described by four different quantum rotor models: a gauge glass, a flux glass, a binary phase glass and a Gaussian phase glass. The first two models, describe the combined effect of geometrical disorder in the array of local superconducting islands and a uniform external magnetic field while the last two describe the effects of random negative Josephson-junction couplings or $\pi$ junctions. Monte Carlo simulations in the path-integral representation of the models are used to determine the critical exponents and the universal conductivity at the quantum phase transition. The gauge and flux glass models display the same critical behavior, within the estimated numerical uncertainties. Similar agreement is found for the binary and Gaussian phase-glass models. Despite the different symmetries and disorder correlations, we find that the universal conductivity of these models is approximately the same. In particular, the ratio of this value to that of the pure model agrees with recent experiments on nanohole thin film superconductors in a magnetic field, in the large disorder limit.

arXiv comment8 pages, 9 figures, Phys. Rev. B. arXiv admin note: text overlap with arXiv:1607.08651

References in corpus (23)

• Exchange Monte Carlo Method and Application to Spin Glass Simulations
• Continuous Quantum Phase Transitions
• Quantum Phase Transitions and Vortex Dynamics in Superconducting Networks
• Critical Behavior of the Three-Dimensional Ising Spin Glass
• The superconductor-insulator transition in 2D dirty boson systems
• The Elusive Bose Metal
• Single spin- and chiral-glass transition in vector spin glasses in three-dimensions
• Universal conductivity in the boson Hubbard model in a magnetic field
• A common Universality class for the three-dimensional Vortex Glass and Chiral Glass?
• Current-voltage scaling of chiral and gauge-glass models of two-dimensional superconductors
• Nanopattern-stimulated superconductor-insulator transition in thin TiN films
• Flux Pinning and Phase Transitions in Model High-Temperature Superconductors with Columnar Defects
• Disordered Josephson junction chains: Anderson localization of normal modes and impedance fluctuations
• Disordered bosons in one dimension: from weak to strong randomness criticality
• Quantum Monte Carlo study of a magnetic-field-driven 2D superconductor-insulator transition
• Critical behavior and driven Monte Carlo dynamics of the XY spin glass in the phase representation
• Coherent dynamics in long fluxonium qubits
• Disorder Influences the Quantum Critical Transport at a Superconductor to Insulator Transition
• Resistive transition in frustrated Josephson-junction arrays on a honeycomb lattice
• Superconductor-insulator transition of Josephson-junction arrays on a honeycomb lattice in a magnetic field
• Magnetic flux disorder and superconductor-insulator transition in nanohole thin films
• Binder Parameter of a Heisenberg Spin-Glass Model in Four Dimensions
• Phase glass and zero-temperature phase transition in a randomly frustrated two-dimensional quantum rotor model

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