Monte Carlo simulations of the four-dimensional XY spin glass at low temperatures

Details Monte Carlo simulations of the four-dimensional XY spin glass at low temperatures Monte Carlo simulations of the four-dimensional XY spin glass at low temperatures

2001-08-21

arxiv.org/abs/cond-mat/0108320v3

Phys. Rev. B 65, 214401, (2002)

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, 8 figures

Scientific paper

10.1103/PhysRevB.65.214401

We report results for simulations of the four-dimensional XY spin glass using the parallel tempering Monte Carlo method at low temperatures for moderate sizes. Our results are qualitatively consistent with earlier work on the three-dimensional gauge glass as well as three- and four-dimensional Edwards-Anderson Ising spin glass. An extrapolation of our results would indicate that large-scale excitations cost only a finite amount of energy in the thermodynamic limit. The surface of these excitations may be fractal, although we cannot rule out a scenario compatible with replica symmetry breaking in which the surface of low-energy large-scale excitations is space filling.

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