Large-scale Monte Carlo simulations of the three-dimensional XY spin glass

Abstract

We study the XY spin glass by large-scale Monte Carlo simulations for sizes up to 24^3, down to temperatures below the transition temperature found in earlier work. The data for the larger sizes show more marginal behavior than that for the smaller sizes indicating that the lower critical dimension is close to, and possibly equal to three. We find that the spins and chiralities behave in a very similar manner. We also address the optimal ratio of "over-relaxation" to "Metropolis" sweeps in the simulation.

arXiv comment6 pages, 6 postscript figures. Replaced by published version

References in corpus (15)

• Exchange Monte Carlo Method and Application to Spin Glass Simulations
• Critical Behavior of the Three-Dimensional Ising Spin Glass
• Universality in three-dimensional Ising spin glasses: A Monte Carlo study
• Universal Finite Size Scaling Functions in the 3D Ising Spin Glass
• Monte Carlo Simulations of Spin Glasses at Low Temperatures
• Single spin- and chiral-glass transition in vector spin glasses in three-dimensions
• The spin glass transition of the three dimensional Heisenberg spin glass
• Large-scale Monte Carlo simulations of the isotropic three-dimensional Heisenberg spin glass
• Nature of the phase transition of the three-dimensional isotropic Heisenberg spin glass
• A Monte Carlo study of O(3) antiferromagnetic models in three dimensions
• Nature of the ordering of the three-dimensional XY spin glass
• The Lower Critical Dimension of the XY Spin Glass
• Domain Wall Renormalization Group Study of XY Model with Quenched Random Phase Shifts
• Phase-coherence transition in granular superconductors with $\pi$ junctions
• Binder Parameter of a Heisenberg Spin-Glass Model in Four Dimensions

Cited by in corpus (32)

• Phase transition in the three dimensional Heisenberg spin glass: Finite-size scaling analysis
• Chirality scenario of the spin-glass ordering
• Numerical evidence of the spin-chirality decoupling in the three-dimensional Heisenberg spin glass
• Phase diagram of a distorted kagome antiferromagnet and application to Y-kapellasite
• Event-chain Monte Carlo for classical continuous spin models
• Monte Carlo studies of the chiral and spin orderings of the three-dimensional Heisenberg spin glass
• Cluster-glass phase in pyrochlore XY antiferromagnets with quenched disorder
• High q-State Clock Spin Glasses in Three Dimensions and the Lyapunov Exponents of Chaotic Phases and Chaotic Phase Boundaries
• Phase Transition in 3d Heisenberg Spin Glasses with Strong Random Anisotropies, through a Multi-GPU Parallelization
• The Chiral Potts Spin Glass in d=2 and 3 Dimensions
• Optimized GPU simulation of continuous-spin glass models
• Spin freezing in the disordered pyrochlore magnet NaCaCo${}_2$F${}_7$: NMR studies and Monte-Carlo simulations
• Phase Transitions between Different Spin-Glass Phases and between Different Chaoses in Quenched Random Chiral Systems
• The ordering of XY spin glasses
• Phase Transitions in the 1-d Long-Range Diluted Heisenberg Spin Glass
• Devil's Staircase Continuum in the Chiral Clock Spin Glass with Competing Ferromagnetic-Antiferromagnetic and Left-Right Chiral Interactions
• Macroscopic character of composite high temperature superconducting wires
• The phase diagram of a frustrated Heisenberg model: from disorder to order and back again
• Semiclassical theory for liquid-like behaviour of the frustrated magnet ${\mathrm{Ca}}_{10}{\mathrm{Cr}}_7{\mathrm{O}}_{28}$
• Random Coulomb antiferromagnets: from diluted spin liquids to Euclidean random matrices
• Monte Carlo studies of the spin-chirality decoupling in the three-dimensional Heisenberg spin glass
• Monte Carlo simulations of the three-dimensional XY spin glass focusing on the chiral and the spin order
• Fracton excitations in classical frustrated kagome spin models
• Study of the de Almeida-Thouless (AT) line in the one-dimensional diluted power-law XY spin glass
• Microscopic Roadmap to a Yao-Lee Spin-Orbital Liquid
• The three dimensional Heisenberg spin glass under a weak random anisotropy
• Disentangling spin excitation continua in classical and quantum magnets using 2D nonlinear spectroscopy
• Evidence that the AT transition disappears below six dimensions
• Non-self-averaging in Ising spin glasses; hyperuniversality
• Critical behavior of spin and chiral degrees of freedom in three-dimensional disordered XY models studied by the nonequilibrium aging method
• Nature of spin glass order in physical dimensions
• Comparison of the clock, stochastic cutoff, and Tomita Monte Carlo methods in simulating the dipolar triangular lattice at criticality