J. Phys. I France
Volume 3, Numéro 11, November 1993
Page(s) 2125 - 2130
DOI: 10.1051/jp1:1993235
J. Phys. I France 3 (1993) 2125-2130

A percolation explanation for the $\pm$ J spin-glass critical temperature

Tane S. Ray and Naeem Jan

Department of Physics, Saint Francis Xavier UniversitY, Antigonish, Nova Scotia, B2G 1CO, Canada

(Received 6 August 1993, accepted 16 August 1993)

We present a simple procedure using invasion percolation for estimating the critical temperatures of the $\pm$ J nearest neighbor spin glass in two, three and four dimensions. The critical temperatures are found to be 0, 1.35 and 2.0 in the square, cubic and four-dimensional hypercubic lattices, which agrees with standard numerical techniques. We also estimate the critical temperature for the Sherrington-Kirkpatrick $\pm$ J model with an analogous method which is in rough agreement with the exact calculations.

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