Phase Transitions in the Two-Dimensional Random Gauge XY Model

Abstract

The two-dimensional random gauge \xy model, where the quenched random variables are magnetic bond angles uniformly distributed within $[-r\pi ,r\pi ]$ ($0\le r\le 1$), is studied via Monte Carlo simulations. We investigate the phase diagram in the plane of the temperature $T$ and the disorder strength $r$, and infer, in contrast to a prevailing conclusion in many earlier studies, that the system is superconducting at any disorder strength $r$ for sufficiently low $T$. It is also argued that the superconducting to normal transition has different nature at weak disorder and strong disorder: termed Kosterlitz-Thouless (KT) type and non-KT type, respectively. The results are compared to earlier works.

5 pages in two-column form, 4 figures. To appear in PRB

References in corpus (1)

• Numerical studies of the two- and three-dimensional gauge glass at low temperature

Cited by in corpus (3)

• On the existence of a finite-temperature transition in the two-dimensional gauge glass
• Experimental Study of Positionally Disordered Josephson Junctions Arrays
• Zero Temperature Glass Transition in the Two-Dimensional Gauge Glass Model