Evidence of non-mean-field-like low-temperature behavior in the Edwards-Anderson spin-glass model
arXiv:1206.0783 · doi:10.1103/PhysRevLett.109.177204
Abstract
The three-dimensional Edwards-Anderson and mean-field Sherrington-Kirkpatrick Ising spin glasses are studied via large-scale Monte Carlo simulations at low temperatures, deep within the spin-glass phase. Performing a careful statistical analysis of several thousand independent disorder realizations and using an observable that detects peaks in the overlap distribution, we show that the Sherrington-Kirkpatrick and Edwards-Anderson models have a distinctly different low-temperature behavior. The structure of the spin-glass overlap distribution for the Edwards-Anderson model suggests that its low-temperature phase has only a single pair of pure states.
4 pages, 6 figures, 2 tables
References in corpus (3)
Cited by in corpus (13)
- Evidence against a mean field description of short-range spin glasses revealed through thermal boundary conditions
- Short-range Ising spin glasses: the metastate interpretation of replica symmetry breaking
- 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
- The cumulative overlap distribution function in realistic spin glasses
- The droplet-scaling versus replica symmetry breaking debate in spin glasses revisited
- Low-temperature spin-glass behaviour in a diluted dipolar Ising system
- Low-temperature behavior of the statistics of the overlap distribution in Ising spin-glass models
- Spin-glass dynamics: experiment, theory and simulation
- Explicit generation of the branching tree of states in spin glasses
- Numerical results for the Edwards-Anderson spin-glass model at low temperature
- Random-field-induced disordering mechanism in a disordered ferromagnet: Between the Imry-Ma and the standard disordering mechanism
- Uniqueness of ground state in the Edwards-Anderson spin glass model