Dynamics of glass phases in the two-dimensional gauge glass model

Abstract

Large-scale simulations have been performed on the current-driven two-dimensional XY gauge glass model with resistively-shunted-junction dynamics. It is observed that the linear resistivity at low temperatures tends to zero, providing strong evidence of glass transition at finite temperature. Dynamic scaling analysis demonstrates that perfect collapses of current-voltage data can be achieved with the glass transition temperature $T_g=0.22$, the correlation length critical exponent $\nu =1.8$, and the dynamic critical exponent $z=2.0$. A genuine continuous depinning transition is found at zero temperature. For creeping at low temperatures, critical exponents are evaluated and a non-Arrhenius creep motion is observed in the glass phase.

arXiv comment10 pages, 6 figures

References in corpus (34)

• Creep and depinning in disordered media
• Depinning transition and thermal fluctuations in the random-field Ising model
• Current--Voltage Characteristics of Two--Dimensional Vortex Glass Models
• Nature of Phase Transitions of Superconducting Wire Networks in a Magnetic Field
• Direct observation of the flux-line vortex glass phase in a type II superconductor
• Depinning and creep motion in glass states of flux lines
• Vortex dynamics for two-dimensional XY models
• Nonequilibrium Phase Transitions of Vortex Matter in Three-Dimensional Layered Superconductors
• Finite Temperature Ordering in the Three-Dimensional Gauge Glass
• Current-voltage scaling of chiral and gauge-glass models of two-dimensional superconductors
• Numerical Study of a Superconducting Glass Model
• Velocity-force characteristics of a driven interface in a disordered medium
• Domain Wall Renormalization Group Study of XY Model with Quenched Random Phase Shifts
• Numerical Study of Order in a Gauge Glass Model
• Vortex glass transition in a random pinning model
• Phase Transition in the Two-Dimensional Gauge Glass
• Vortex-glass transition in superconducting Nb/Cu superlattices
• Anomalous finite-size effect in superconducting Josephson junction arrays
• Finite-temperature resistive transition in the two-dimensional XY gauge glass model
• Vortex glass transition in a frustrated 3D XY model with disorder
• Finite Size and Current Effects on IV Characteristics of Josephson Junction Arrays
• On the existence of a finite-temperature transition in the two-dimensional gauge glass
• Pinning and Depinning of the Bragg Glass in a Point Disordered Model Superconductor
• Critical properties of the three- and four-dimensional gauge glass
• Experimental Study of Positionally Disordered Josephson Junctions Arrays
• Amorphous Vortex Glass Phase in Strongly Disordered Superconductors
• Phase Transitions in the Two-Dimensional Random Gauge XY Model
• Defective Vortex Lattices in Layered Superconductors with Point Pins at the Extreme Type-II Limit
• Dynamic critical behaviors in two-dimensional Josephson junction arrays with positional disorder
• Zero Temperature Glass Transition in the Two-Dimensional Gauge Glass Model
• Zero-temperature criticality in the two-dimensional gauge glass model
• Boundary Effects on Dynamic Behavior of Josephson-Junction Arrays
• Nature of the vortex-glass order in strongly type-II superconductors
• Typical versus average helicity modulus in the three-dimensional gauge glass: Understanding the vortex glass phase

Cited by in corpus (5)

• Critical behavior of plastic depinning of vortex lattices in two dimensions: Molecular dynamics simulations
• Magnetic and glassy transitions in the square-lattice XY model with random phase shifts
• Phase transition in site-diluted Josephson junction arrays: A numerical study
• Critical Scaling and Aging near the Flux Line Depinning Transition
• Superconducting film with randomly magnetized dots: A realization of the 2D XY model with random phase shifts