Abstract
We describe how metastable states of Ising spin glasses can be counted by means of Monte Carlo computer simulations. The method is applied to systems defined on hypercubic lattices in one to six dimensions with up to about 103 spins. It is shown that the number of metastable states obtained for different disorder realizations satisfies a log-normal distribution. We investigate the distribution of energies of metastable states by means of moments and cumulants.
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Contribution to the Topical Issue “Recent Advances in the Theory of Disordered Systems”, edited by Ferenc Iglói and Heiko Rieger.
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Schnabel, S., Janke, W. Counting metastable states of Ising spin glasses on hypercubic lattices. Eur. Phys. J. B 93, 53 (2020). https://doi.org/10.1140/epjb/e2020-100480-4
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DOI: https://doi.org/10.1140/epjb/e2020-100480-4