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Numerical Study of Order in a Gauge Glass Model

J. M. Kosterlitz·N. Akino
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Abstract

The XY model with quenched random phase shifts is studied by a T=0 finite size defect energy scaling method in 2d and 3d. The defect energy is defined by a change in the boundary conditions from those compatible with the true ground state configuration for a given realization of disorder. A numerical technique, which is exact in principle, is used to evaluate this energy and to estimate the stiffness exponent $θ$. This method gives $θ= -0.36\pm0.013$ in 2d and $θ= +0.31\pm 0.015$ in 3d, which are considerably larger than previous estimates, strongly suggesting that the lower critical dimension is less than three. Some arguments in favor of these new estimates are given.

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J. M. Kosterlitz, N. Akino. 1998-06-28. Numerical Study of Order in a Gauge Glass Model. https://doi.org/10.1103/physrevlett.81.4672

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