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Monte Carlo Simulations of Vector Spin Glasses at Low Temperatures

Helmut G. Katzgraber
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Abstract

In this paper I report results for simulations of the three-dimensional gauge glass and the four-dimensional XY spin glass using the parallel tempering Monte Carlo method at low temperatures for moderate sizes. The results are qualitatively consistent with earlier work on the three- and four-dimensional Edwards-Anderson Ising spin glass. I find evidence that large-scale excitations may cost only a finite amount of energy in the thermodynamic limit. The surface of these excitations is fractal, but I cannot rule out for the XY spin glass a scenario compatible with replica symmetry breaking where the surface of low-energy large-scale excitations is space filling.

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Helmut G. Katzgraber. 2002-07-27. Monte Carlo Simulations of Vector Spin Glasses at Low Temperatures. https://doi.org/10.1016/s0010-4655(02)00322-3

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