Monte Carlo Simulations of Vector Spin Glasses at Low Temperatures

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.Comment: Proceedings of "Computational Modeling and Simulation of Complex Systems" Conference 2001, Aachen, Germany, September 5 - 8, 2001. 4 pages, 6 figure