Monte Carlo Simulations of Vector Spin Glasses at Low Temperatures

Details Monte Carlo Simulations of Vector Spin Glasses at Low Temperatures Monte Carlo Simulations of Vector Spin Glasses at Low Temperatures

2002-04-14

arxiv.org/abs/cond-mat/0204305v2

Comp. Phys. Comm. 147, 439, (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Proceedings of "Computational Modeling and Simulation of Complex Systems" Conference 2001, Aachen, Germany, September 5 - 8, 2

Scientific paper

10.1016/S0010-4655(02)00322-3

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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