Diluted one-dimensional spin glasses with power law decaying interactions
arXiv:0801.4855 · doi:10.1103/PhysRevLett.101.107203
Abstract
We introduce a diluted version of the one dimensional spin-glass model with interactions decaying in probability as an inverse power of the distance. In this model varying the power corresponds to change the dimension in short-range models. The spin-glass phase is studied in and out of the range of validity of the mean-field approximation in order to discriminate between different theories. Since each variable interacts only with a finite number of others the cost for simulating the model is drastically reduced with respect to the fully connected version and larger sizes can be studied. We find both static and dynamic evidence in favor of the so-called replica symmetry breaking theory.
4 pages, 6 figures, 2 tables
References in corpus (5)
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Cited by in corpus (9)
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- The correspondence between long-range and short-range spin glasses
- Ultrametricity and clustering of states in spin glasses: A one-dimensional view
- One-dimensional infinite component vector spin glass with long-range interactions
- Spin-chirality decoupling in the one-dimensional Heisenberg spin glass with long-range power-law interactions
- Infinite volume extrapolation in the one-dimensional bond diluted Levy spin-glass model near its lower critical dimension
- Monte Carlo studies of the ordering of the one-dimensional Heisenberg spin glass with long-range power-law interactions