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

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Cited by in corpus (12)

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• Magnetic and glassy transitions in the square-lattice XY model with random phase shifts
• 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
• 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
• Vortex-glass transformation within the surface superconducting state of $\beta$-phase Mo${}_{1-x}$Re${}_x$ alloys
• Quasi-long-range order in the 2D XY model with random phase shifts
• Superconducting film with randomly magnetized dots: A realization of the 2D XY model with random phase shifts
• Phase glass and zero-temperature phase transition in a randomly frustrated two-dimensional quantum rotor model