B. Yucesoy, Helmut G. Katzgraber, J. Machta
The three-dimensional Edwards-Anderson Ising spin glass and the fully-connected mean-field Sherrington-Kirkpatrick Ising spin glass 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.
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http://arxiv.org/abs/1206.0783
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