J. Phys. I France
Volume 4, Numéro 9, September 1994
Page(s) 1281 - 1285
DOI: 10.1051/jp1:1994112
J. Phys. I France 4 (1994) 1281-1285

Short Communication

The ground state energy of the $\pm J$ spin glass from the genetic algorithm

P. Sutton, D.L. Hunter and N. Jan

Box 5000, St. Francis Xavier University, Antigonish, Nova Scotia, Canada, B2G 2W5

(Received 27 June 1994, accepted 4 July 1994)

The ground state energy of the $\pm J$ 2-dimensional square and 3-dimensional cubic spin glasses are determined by the Genetic Algorithm. System sizes of linear dimensions 6 to 20 are considered in 2-dimensions and from 4 to 9 in 3-dimensions. We estimate that the ground state energy of the infinite system is $-1.400 \pm 0.005$ (2d) and $-1.765 \pm 0.01$ (3d) in units of J.

© Les Editions de Physique 1994