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

Finite Temperature Ordering in the Three-Dimensional Gauge Glass

We present results of Monte Carlo simulations of the gauge glass model in three dimensions using exchange Monte Carlo. We show for the first time clear evidence of the vortex glass ordered phase at finite temperature. Using finite size scaling we obtain estimates for the correlation length exponent, nu = 1.39 +/- 0.20, the correlation function exponent, eta = -0.47 +/- 0.07, and the dynamic exponent z = 4.2 +/- 0.6. Using our values for z and nu we calculate the resistivity exponent to be s = 4.5 +/- 1.1. Finally, we provide a plausible lower bound on the the zero-temperature stiffness exponen…

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

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.

Zero Temperature Glass Transition in the Two-Dimensional Gauge Glass Model

We investigate dynamic scaling properties of the two-dimensional gauge glass model for the vortex glass phase in superconductors with quenched disorder. From extensive Monte Carlo simulations we obtain static and dynamic finite size scaling behavior, where the static simulations use a temperature exchange method to ensure convergence at low temperatures. Both static and dynamic scaling of Monte Carlo data is consistent with a glass transition at zero temperature. We study a dynamic correlation function for the superconducting order parameter, as well as the phase slip resistance. From the scal…

Current-voltage scaling of chiral and gauge-glass models of two-dimensional superconductors

The scaling behavior of the current-voltage characteristics of chiral and gauge glass models of disordered superconductors, are studied numerically, in two dimensions. For both models, the linear resistance is nonzero at finite temperatures and the scaling analysis of the nonlinear resistivity is consistent with a phase transition at T=0 temperature characterized by a diverging correlation length $ξ\propto T^{-ν_{T}}$ and thermal critical exponent $ν_{T}$. The values of $ν_{T}$, however, are found to be different for the chiral and gauge glass models, suggesting different universality classes,…

无序系统中破缺规范对称性导致的电子玻璃

Electronic glasses from a broken gauge symmetry in disorder-free systems

本研究提出了一种在无序系统中通过破缺量子规范对称性产生电子玻璃相的通用机制，以晶格上与XY自旋耦合的巡游电子为例，揭示了强配对极限下规范对称性破缺导致无序配对玻璃态的形成。

Finite-temperature resistive transition in the two-dimensional XY gauge glass model

We investigate numerically the resistive transition in the two-dimensional XY gauge glass model. The resistively-shunted junction dynamics subject to the fluctuating twist boundary condition is used and the linear resistances in the absence of an external current at various system sizes are computed. Through the use of the standard finite-size scaling method, the finite temperature resistive transition is found at $k_BT_c = 0.22(2)$ (in units of the Josephson coupling strength) with dynamic critical exponent $z = 2.0(1)$ and the static exponent $ν= 1.2(2)$, in contrast to widely believed expec…