Percolating spin-glass domains in diluted ± J square lattices

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 interactions, called x, is varied in the range [0.1,0.9]. Over 100 000 samples 8×8 are solved at zero temperature finding that diluted lattices present unfrustrated domains of preferred sizes and shapes; this is explained by probabilistic analysis. 64% of the diluted lattices percolate for 0.3 x 0.7 (increasing outside this interval) leading to a possible robust partial spin-glass behavior. The percolation threshold does not depend on x remaining close to 0.41.