Monte Carlo simulations of spin glasses at low temperatures: Effects of free boundary conditions
arXiv:cond-mat/0108544 · doi:10.1103/PhysRevB.65.214402
Abstract
We present results of Monte Carlo simulations, using parallel tempering, on the three- and four-dimensional Edwards-Anderson Ising spin glass with Gaussian couplings at low temperatures with free boundary conditions. Our results suggest that large-scale low-energy excitations may be space filling. The data implies that the energy of these excitations increases with increasing system size for small systems, but we see evidence in three dimensions, where we have a greater range of sizes, for a crossover to a regime where the energy is independent of system size, in accordance with replica symmetry breaking.
arXiv comment8 pages, 14 figures
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Cited by in corpus (13)
- Parallel Tempering: Theory, Applications, and New Perspectives
- Population Annealing with Weighted Averages: A Monte Carlo Method for Rough Free Energy Landscapes
- Strengths and Weaknesses of Parallel Tempering
- Energy size effects of two-dimensional Ising spin glasses
- Evidence against a mean field description of short-range spin glasses revealed through thermal boundary conditions
- Correlations between the dynamics of parallel tempering and the free-energy landscape in spin glasses
- Number of thermodynamic states in the three-dimensional Edwards-Anderson spin glass
- Antiferromagnetic Ising model in small-world networks
- Low Energy Excitations in Spin Glasses from Exact Ground States
- Antiferromagnetic Ising model in scale-free networks
- Evidence of many thermodynamic states of the three-dimensional Ising spin glass
- Composite operators in Cubic Field Theories and Link Overlap Fluctuations in Spin-Glass Models
- Numerical simulations of Ising spin glasses with free boundary conditions: the role of droplet excitations and domain walls