Defect Energy with Conjugate Boundary Conditions in Spin Glass Models in Two Dimensions

Abstract

We calculate the naive defect energy $\Delta E$ of Ising spin glass(SG) models in two dimensions using conjugate boundary conditions. We predict that, in the $\pm J$ model, the averaged value $\overline{\Delta E}$ converges to some non-zero value in the thermodynamic limit in contrast with $\overline{\Delta E}=0$ in the Gaussian model. This prediction is incompatible with previous ones but supports a recent Monte Carlo prediction of the presence of the SG phase at finite temperatures in the $\pm J$ Ising model. We also calculate the interface free energy to confirm it.

10 pages (Tex file) and 6 figures (Eps files). e-mail [email protected]

References in corpus (6)

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• Chaos in a Two-Dimensional Ising Spin Glass
• The Lower Critical Dimension of the XY Spin Glass
• Low Temperature Phase of Asymmetric Spin Glass Model in Two Dimensions
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