Percolating spin-glass domains in diluted ±J square lattices

E.e Vogel, S Contreras, M.a Osorio, A.j Ramı́rez-Pastor and F Nieto

Physica A: Statistical Mechanics and its Applications, 1999, vol. 266, issue 1, 425-429

Abstract: 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 100000 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.

Keywords: Spin glass; Percolation; Ising Hamiltonian; Frustration (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:266:y:1999:i:1:p:425-429

DOI: 10.1016/S0378-4371(98)00625-6

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