Ground-state energy and entropy of the two-dimensional Edwards–Anderson spin-glass model with different bond distributions

D.J. Perez-Morelo, A.J. Ramirez-Pastor and F. Romá

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 4, 937-947

Abstract: We study the two-dimensional Edwards–Anderson spin-glass model using a parallel tempering Monte Carlo algorithm. The ground-state energy and entropy are calculated for different bond distributions. In particular, the entropy is obtained by using a thermodynamic integration technique and an appropriate reference state, which is determined with the method of high-temperature expansion. This strategy provides accurate values of this quantity for finite-size lattices. By extrapolating to the thermodynamic limit, the ground-state energy and entropy of the different versions of the spin-glass model are determined.

Keywords: Spin-glass and other random models; Numerical simulation studies (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:4:p:937-947

DOI: 10.1016/j.physa.2011.09.023

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