Finite Temperature Ordering in the Three-Dimensional Gauge Glass

Details Finite Temperature Ordering in the Three-Dimensional Gauge Glass Finite Temperature Ordering in the Three-Dimensional Gauge Glass

1999-12-15

arxiv.org/abs/cond-mat/9912291v1

Phys. Rev. B 61, 12467 (2000)

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages, 6 postscript figures

Scientific paper

10.1103/PhysRevB.61.12467

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 exponent, theta >= 0.18.

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