Zero-temperature criticality in the two-dimensional gauge glass model

Abstract

The zero-temperature critical state of the two-dimensional gauge glass model is investigated. It is found that low-energy vortex configurations afford a simple description in terms of gapless, weakly interacting vortex-antivortex pair excitations. A linear dielectric screening calculation is presented in a renormalization group setting that yields a power-law decay of spin-wave stiffness with distance. These properties are in agreement with low-temperature specific heat and spin-glass susceptibility data obtained in large-scale multi-canonical Monte Carlo simulations.

4 pages, 4 figures

References in corpus (10)

• Current--Voltage Characteristics of Two--Dimensional Vortex Glass Models
• Vortex statistics in a disordered two-dimensional XY model
• Glassy Vortex State in a Two-Dimensional Disordered XY-Model
• ABSENCE OF REENTRANCE IN THE TWO-DIMENSIONAL XY-MODEL WITH RANDOM PHASE SHIFT
• Domain Wall Renormalization Group Study of XY Model with Quenched Random Phase Shifts
• Phase Transition in the Two-Dimensional Gauge Glass
• Finite-temperature resistive transition in the two-dimensional XY gauge glass model
• On the existence of a finite-temperature transition in the two-dimensional gauge glass
• Phase Transitions in the Two-Dimensional Random Gauge XY Model
• Zero Temperature Glass Transition in the Two-Dimensional Gauge Glass Model

Cited by in corpus (8)

• Curvature-induced frustration in the $XY$ model on hyperbolic surfaces
• Magnetic and glassy transitions in the square-lattice XY model with random phase shifts
• Partial spin freezing in the quasi-two-dimensional La2(Cu,Li)O4
• Slow spin-glass and fast spin-liquid components in quasi-two-dimensional La2(Cu,Li)O4
• Dynamic critical behaviors in two-dimensional Josephson junction arrays with positional disorder
• Dynamics of glass phases in the two-dimensional gauge glass model
• Phase glass and zero-temperature phase transition in a randomly frustrated two-dimensional quantum rotor model
• Persistent current in a 2D Josephson junction array wrapped around a cylinder