Large-scale dynamical simulations of the three-dimensional XY spin glass

TL;DR

This paper uses large-scale simulations to study the three-dimensional XY spin glass, revealing a finite temperature phase transition, critical exponents consistent with experiments, and insights into depinning and creep motion relevant to high-Tc superconductors.

Contribution

It provides the first large-scale dynamical simulation evidence for a finite temperature transition in the 3D XY spin glass with detailed critical behavior analysis.

Findings

Linear resistivity tends to zero at low temperatures.

Critical exponents match equilibrium Monte Carlo results.

Simultaneous spin and chirality ordering is suggested.

Abstract

Large-scale simulations have been performed in the current-driven three-dimensional XY spin glass with resistively-shunted junction dynamics for sample sizes up to $64^3$. It is observed that the linear resistivity at low temperatures tends to zero, providing a strong evidence of a finite temperature phase-coherence (i.e. spin-glass) transition. Dynamical scaling analysis demonstrates that a perfect collapse of current-voltage data can be achieved. The obtained critical exponents agree with those in equilibrium Monte Carlo simulations, and are compatible with those observed in various experiments on high-T$_c$ cuprate superconductors. It is suggested that the spin and the chirality order simultaneously. A genuine continuous depinning transition is found at zero temperature. For low temperature creep motion, critical exponents are evaluated, and a non-Arrhenius creep motion is observed in the low temperature ordered phase. It is proposed that the XY spin glass gives an effective description of the transport properties in high-T$_c$ superconductors with d-wave symmetry.