Properties of the two-dimensional random-bond [Formula Presented] Ising spin glass
We develop an exact gauge-invariant method for studying the two-dimensional [Formula Presented] spin glass. It is applied to the case of an arbitrary concentration of [Formula Presented] positive and p negative bonds and is thus a generalization of the more commonly studied [Formula Presented] model...
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| Main Authors: | , , |
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| 格式: | Article |
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2018
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| 在線閱讀: | https://repository.li.mahidol.ac.th/handle/123456789/18430 |
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| 總結: | We develop an exact gauge-invariant method for studying the two-dimensional [Formula Presented] spin glass. It is applied to the case of an arbitrary concentration of [Formula Presented] positive and p negative bonds and is thus a generalization of the more commonly studied [Formula Presented] model. The ground-state properties are examined and in particular it is shown that the spin correlation exponent η remains constant over the range [Formula Presented] The value obtained is [Formula Presented] A wide range of values for η is quoted in the literature. We indicate possible reasons for the discrepancies and indicate that there are potential advantages in doing calculations at concentrations markedly lower than 50%. © 1998 The American Physical Society. |
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