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arXiv · 1206.0783

Evidence of non-mean-field-like low-temperature behavior in the Edwards-Anderson spin-glass model

B. Yucesoy·Helmut G. Katzgraber·J. Machta
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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.

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B. Yucesoy, Helmut G. Katzgraber, J. Machta. 2012-10-23. Evidence of non-mean-field-like low-temperature behavior in the Edwards-Anderson spin-glass model. https://doi.org/10.1103/physrevlett.109.177204

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