Vortex dynamics for two-dimensional XY models

Abstract

Two-dimensional XY models with resistively shunted junction (RSJ) dynamics and time dependent Ginzburg-Landau (TDGL) dynamics are simulated and it is verified that the vortex response is well described by the Minnhagen phenomenology for both types of dynamics. Evidence is presented supporting that the dynamical critical exponent $z$ in the low-temperature phase is given by the scaling prediction (expressed in terms of the Coulomb gas temperature $T^{CG}$ and the vortex renormalization given by the dielectric constant $\tilde{\epsilon }$) $z=1/\tilde{\epsilon }{T}^{CG}-2\ge 2$ both for RSJ and TDGL and that the nonlinear IV exponent a is given by a=z+1 in the low-temperature phase. The results are discussed and compared with the results of other recent papers and the importance of the boundary conditions is emphasized.

21 pages including 15 figures, final version

References in corpus (8)

• Dynamic Scaling of Magnetic Flux Noise Near the KTB Transition in Overdamped Josephson Junction Arrays
• Monte Carlo calculation of the current-voltage characteristics of a two dimensional lattice Coulomb gas
• 1/ω-flux-noise and dynamical critical properties of two-dimensional XY-models
• Langevin Simulations of Two Dimensional Vortex Fluctuations: Anomalous Dynamics and a New $IV$-exponent
• Driven Diffusion in the Two-Dimensional Lattice Coulomb Gas; A Model for Flux Flow in Superconducting Networks
• Dynamics of d-wave Vortices: Angle-Dependent Nonlinear Hall Effect
• Charge Transport in the Dense Two-Dimensional Coulomb Gas
• Resistance scaling at the Kosterlitz-Thouless transition

Cited by in corpus (23)

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• Defects Superdiffusion and Unbinding in a 2D XY Model of Self-Driven Rotors
• Pinning and Depinning of the Bragg Glass in a Point Disordered Model Superconductor
• Finite-Time-Finite-Size Scaling of the Kuramoto Oscillators
• Dynamic critical behaviors of three-dimensional XY models related to superconductors/superfluids
• Dynamic transition and Shapiro-step melting in a frustrated Josephson-junction array
• Anomalous Nernst effect and heat transport by vortex vacancies in granular superconductors
• Dynamic critical behaviors in two-dimensional Josephson junction arrays with positional disorder
• Ubiquitous finite-size scaling features in IV characteristics of various dynamic XY models in two dimensions
• Dynamics of glass phases in the two-dimensional gauge glass model
• Scaling, Finite Size Effects, and Crossovers of the Resistivity and Current-Voltage Characteristics in Two-Dimensional Superconductors
• Monte Carlo study of the phase transitions in the classical XY ferromagnets with random anisotropy
• Coarsening Kinetics of a Two Dimensional O(2) Ginzburg-Landau Model: Effect of Reversible Mode Coupling
• A Zero-Temperature Study of Vortex Mobility in Two-Dimensional Vortex Glass Models
• Two dynamic exponents in the resistive transition of fully frustrated Josephson-junction arrays
• Influence of vortices and phase fluctuations on thermoelectric transport properties of superconductors in a magnetic field
• The Critical Properties of Two-dimensional Oscillator Arrays
• Winding number excitation detects phase transition in one-dimensional XY model with variable interaction range
• Vortex Line Ordering in the Driven Three-Dimensional Vortex Glass
• Anomalous response in the vicinity of spontaneous symmetry breaking
• Splitting of the superconducting transition in the two weakly coupled 2D XY models
• Relaxation dynamics and interrupted coarsening in irrationally frustrated superconducting arrays
• Apparent double-$T_c$ from a single BKT transition in anisotropic phase-only models