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

Author

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

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.

Suggested Citation

  • Perez-Morelo, D.J. & Ramirez-Pastor, A.J. & Romá, F., 2012. "Ground-state energy and entropy of the two-dimensional Edwards–Anderson spin-glass model with different bond distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 937-947.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:4:p:937-947
    DOI: 10.1016/j.physa.2011.09.023
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