Two-dimensional XY spin/gauge glasses on periodic and quasiperiodic lattices

Abstract

Via Monte Carlo studies of the frustrated XY or classical planar model we demonstrate the possibility of a finite (nonzero) temperature spin/gauge glass phase in two dimensions. Examples of both periodic and quasiperiodic two dimensional lattices, where a high temperature paramagnetic phase changes to a spin/gauge glass phase with the lowering of temperature, are presented. The existence of the spin/gauge glass phase is substantiated by our study of the temperature dependence of the Edwards-Anderson order parameter, spin glass susceptibility, linear susceptibility and the specific heat. Finite size scaling analysis of spin glass susceptibility and order parameter yields a nonzero critical temperature and exponents that are in close agreement with those obtained by Bhatt and Young in their random $\pm J$ Ising model study on a square lattice. These results suggest that certain periodic and quasiperiodic two-dimensional arrays of superconducting grains in suitably chosen transverse magnetic fields should behave as superconducting glasses at low temperatures.

RevTex, 25 pages. 11 epsf figures available upon request ([email protected] or [email protected]). Submitted to Phys. Rev. B

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Cited by in corpus (5)

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• Zero-temperature phase of the XY spin glass in two dimensions: Genetic embedded matching heuristic
• Resistive transition in frustrated Josephson-junction arrays on a honeycomb lattice
• Zero-temperature transition and correlation-length exponent of the frustrated XY model on a honeycomb lattice
• Ordered phases and phase transitions in the fully frustrated XY model on a honeycomb lattice