Zero Temperature Glass Transition in the Two-Dimensional Gauge Glass Model

Abstract

We investigate dynamic scaling properties of the two-dimensional gauge glass model for the vortex glass phase in superconductors with quenched disorder. From extensive Monte Carlo simulations we obtain static and dynamic finite size scaling behavior, where the static simulations use a temperature exchange method to ensure convergence at low temperatures. Both static and dynamic scaling of Monte Carlo data is consistent with a glass transition at zero temperature. We study a dynamic correlation function for the superconducting order parameter, as well as the phase slip resistance. From the scaling of these two functions, we find evidence for two distinct diverging correlation times at the zero temperature glass transition. The longer of these time scales is associated with phase slip fluctuations across the system that lead to finite resistance at any finite temperature, while the shorter time scale is associated with local phase fluctuations.

8 pages, 10 figures; v2: some minor corrections

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• Experimental Study of Positionally Disordered Josephson Junctions Arrays
• Dynamic critical behaviors in two-dimensional Josephson junction arrays with positional disorder
• Zero-temperature criticality in the two-dimensional gauge glass model
• Dynamics of glass phases in the two-dimensional gauge glass model
• Emergent Halperin-Saslow mode and Gauge Glass in quantum Ising magnet TmMgGaO${}_4$
• Phase glass and zero-temperature phase transition in a randomly frustrated two-dimensional quantum rotor model