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

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

1998-06-29

arxiv.org/abs/cond-mat/9806356v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages (Tex file) and 6 figures (Eps files). e-mail shira@iwate-u.ac.jp

Scientific paper

10.1103/PhysRevB.58.R11821

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 $\bar{\Delta E}$ converges to some non-zero value in the thermodynamic limit in contrast with $\bar{\Delta E} = 0$ 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.

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