Percolating spin-glass domains in diluted ±J square lattices.

E. E. VOGEL; S. CONTRERAS; M. A. OSORIO; A. J. RAMIREZ-PASTOR; F. NIETO

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

Elsevier

Año: 1999 vol. 266 p. 425 - 429

0378-4371

The diluted lattice formed by removing all exchange interactions that frustrate in the ground manifold of a J square Ising lattice is studied. The concentration of antiferromagnetic in- teractions, called x, is varied in the range [0:1; 0:9]. Over 100 000 samples 8 8 are solved at zero temperature nding that diluted lattices present unfrustrated domains of preferred sizes and shapes; this is explained by probabilistic analysis. 64% of the diluted lattices percolate for 0:36x60:7 (increasing outside this interval) leading to a possible robust partial spin-glass be- havior. The percolation threshold does not depend on x remaining close to 0.41.J square Ising lattice is studied. The concentration of antiferromagnetic in- teractions, called x, is varied in the range [0:1; 0:9]. Over 100 000 samples 8 8 are solved at zero temperature nding that diluted lattices present unfrustrated domains of preferred sizes and shapes; this is explained by probabilistic analysis. 64% of the diluted lattices percolate for 0:36x60:7 (increasing outside this interval) leading to a possible robust partial spin-glass be- havior. The percolation threshold does not depend on x remaining close to 0.41.x, is varied in the range [0:1; 0:9]. Over 100 000 samples 8 8 are solved at zero temperature nding that diluted lattices present unfrustrated domains of preferred sizes and shapes; this is explained by probabilistic analysis. 64% of the diluted lattices percolate for 0:36x60:7 (increasing outside this interval) leading to a possible robust partial spin-glass be- havior. The percolation threshold does not depend on x remaining close to 0.41.:36x60:7 (increasing outside this interval) leading to a possible robust partial spin-glass be- havior. The percolation threshold does not depend on x remaining close to 0.41.x remaining close to 0.41.