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Percolating spin-glass domains in diluted ±J square lattices

Author

Listed:
  • Vogel, E.E
  • Contreras, S
  • Osorio, M.A
  • Ramı́rez-Pastor, A.J
  • Nieto, F

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.

Suggested Citation

  • Vogel, E.E & Contreras, S & Osorio, M.A & Ramı́rez-Pastor, A.J & Nieto, F, 1999. "Percolating spin-glass domains in diluted ±J square lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 266(1), pages 425-429.
    • Handle: RePEc:eee:phsmap:v:266:y:1999:i:1:p:425-429
    DOI: 10.1016/S0378-4371(98)00625-6
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