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Sensitivity to changes in boundary conditions in S = 1 Ising spin glasses

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Listed:
  • Li, Mai Suan
  • Cieplak, Marek
  • Gawron, Tomasz R.

Abstract

Transfer-matrix-based calculations of the defect energy in two-dimensional S = 1 Ising spin glasses yield a T = 0 exponent y which depends on the state of the spins at the boundary walls. If the boundary spins are not allowed to be in the zero state, the exponent y agrees with the value obtained for S = 12. Otherwise the exponent is different and S-dependent. We argue that the lower critical dimensionality should not depend on S. Our results point out the importance of selecting boundary conditions that capture the physics of the problem.

Suggested Citation

  • Li, Mai Suan & Cieplak, Marek & Gawron, Tomasz R., 1994. "Sensitivity to changes in boundary conditions in S = 1 Ising spin glasses," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 205(4), pages 497-501.
    • Handle: RePEc:eee:phsmap:v:205:y:1994:i:4:p:497-501
    DOI: 10.1016/0378-4371(94)90216-X
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    References listed on IDEAS

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    1. Gawronski WoLfgang & Wießner Martin, 1992. "Asymptotics And Inequalities For The Mode Of Stable Laws," Statistics & Risk Modeling, De Gruyter, vol. 10(1-2), pages 183-198, February.
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