Critical behavior and driven Monte Carlo dynamics of the XY spin glass in the phase representation

Abstract

A driven Monte Carlo dynamics is introduced to study resistivity scaling in XY-type models in the phase representation. The method is used to study the phase transition of the three-dimensional XY spin glass with a Gaussian coupling distribution. We find a phase-coherence transition at finite temperature in good agreement with recent equilibrium Monte Carlo simulations which shows a single (spin and chiral) glass transition. Estimates of the static and dynamic critical exponents indicate that the critical behavior is in the same universality class as the the model with a bimodal coupling distribution. Relevance of these results for $\pi$-junction superconductors is also discussed.

arXiv comment4 pages, 4 figures, to appear in Phys. Rev. B

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Cited by in corpus (13)

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• The ordering of XY spin glasses
• Monte Carlo simulations of the three-dimensional XY spin glass focusing on the chiral and the spin order
• Zero-temperature resistive transition in Josephson-junction arrays at irrational frustration
• Resistive transition in frustrated Josephson-junction arrays on a honeycomb lattice
• Superconductor-insulator transition of Josephson-junction arrays on a honeycomb lattice in a magnetic field
• Magnetic flux disorder and superconductor-insulator transition in nanohole thin films
• Numerical study of the ordering of the +-J XY spin-glass ladder
• Random gauge models of the superconductor-insulator transition in two-dimensional disordered superconductors
• Disorder-induced superconductor to insulator transition and finite phase stiffness in two-dimensional phase-glass models
• Critical behavior of spin and chiral degrees of freedom in three-dimensional disordered XY models studied by the nonequilibrium aging method
• Finite-temperature topological transitions in the presence of quenched uncorrelated disorder
• Effects of quenched disorder in three-dimensional lattice ${\mathbb{Z}}_2$ gauge Higgs models