Monte Carlo simulations of the four-dimensional XY spin glass at low temperatures
arXiv:cond-mat/0108320 · doi:10.1103/PhysRevB.65.214401
Abstract
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.
arXiv comment6 pages, 8 figures
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- Monte Carlo studies of the one-dimensional Ising spin glass with power-law interactions
- Large-scale Monte Carlo simulations of the isotropic three-dimensional Heisenberg spin glass
- Canonical local algorithms for spin systems: Heat Bath and Hasting's methods
- Monte Carlo study of first-order transition in Heisenberg fcc antiferromagnet
- Geometry of large-scale low-energy excitations in the one-dimensional Ising spin glass with power-law interactions
- On the existence of a finite-temperature transition in the two-dimensional gauge glass
- Ordering of the Heisenberg Spin Glass in High Dimensions
- Zero-temperature phase of the XY spin glass in two dimensions: Genetic embedded matching heuristic
- Energetics of clusters in the two-dimensional Ising spin glass
- The Ising ferromagnet in dimension five: link and spin overlaps