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The ground state of the cubic spin glass with short-range interactions of Gaussian distribution

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  • Pál, Károly F.

Abstract

Ground states of the three-dimensional Edwards-Anderson spin glass with exchange interactions of Gaussian distribution were determined with a hybrid of genetic algorithm and local optimization. Large samples were considered between linear sizes of 3 and 10 to determine the average ground state energies accurately. The results follow a linear dependence on 1/volume quite accurately. The extrapolated value for the ground state energy per spin for the infinite system is −1.7003±0.0008.

Suggested Citation

  • Pál, Károly F., 1996. "The ground state of the cubic spin glass with short-range interactions of Gaussian distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 233(1), pages 60-66.
    • Handle: RePEc:eee:phsmap:v:233:y:1996:i:1:p:60-66
    DOI: 10.1016/S0378-4371(96)00241-5
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    Cited by:

    1. Stefan Boettcher, 2023. "Deep reinforced learning heuristic tested on spin-glass ground states: The larger picture," Nature Communications, Nature, vol. 14(1), pages 1-3, December.

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