Quasi-long-range order in the 2D XY model with random phase shifts

Abstract

We study the square-lattice XY model in the presence of random phase shifts. We consider two different disorder distributions with zero average shift and investigate the low-temperature quasi-long-range order phase which occurs for sufficiently low disorder. By means of Monte Carlo simulations we determine several universal quantities which are then compared with the analytic predictions of the random spin-wave theory. We observe a very good agreement which indicates that the universal long-distance behavior in the whole low-disorder low-temperature phase is fully described by the random spin-wave theory.

14 pages

References in corpus (5)

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• Numerical studies of the two- and three-dimensional gauge glass at low temperature
• On the existence of a finite-temperature transition in the two-dimensional gauge glass
• Phase Transitions in the Two-Dimensional Random Gauge XY Model
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Cited by in corpus (5)

• Magnetic and glassy transitions in the square-lattice XY model with random phase shifts
• Decoherence and wavefunction deformation of $D_4$ non-Abelian topological order
• The three-dimensional gauge-glass model
• Random-bond disorder in two-dimensional non-collinear XY antiferromagnets: From quasi-long-range order to spin glass
• Uniformly frustrated XY model: strengthening of the vortex lattice by intrinsic disorder