Anomalous Relaxation in the XY Gauge Glass
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To study relaxation dynamics of the two-dimensional XY gauge glass, we integrate directly the equations of motion and investigate the energy function. As usual, it decays exponentially at high temperatures; at low but non-zero temperatures, it is found to exhibit an algebraic relaxation. We compute the relaxation time $τ$ as a function of the temperature $T$ and find that the rapid increase of $τ$ at low temperatures is well described by $τ\sim (T-T_g)^{-b}$ with $T_g = 0.22 \pm 0.02$ and $b = 0.76 \pm 0.05$, which strongly suggests a finite-temperature glass transition. The decay of vorticity is also examined and explained in terms of a simple heuristic model, which attributes the fast relaxation at high temperatures to annihilation of unpinned vortices.
6 pages, 6 postscript figures, to appear in Phys. Rev. B
6 pages, 6 postscript figures, to appear in Phys. Rev. B