Publication: Properties of the two-dimensional random-bond [Formula Presented] Ising spin glass
Issued Date
1998-01-01
Resource Type
ISSN
1063651X
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2-s2.0-0001328339
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Mahidol University
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SCOPUS
Bibliographic Citation
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. Vol.58, No.2 (1998), 1502-1507
Suggested Citation
J. A. Blackman, J. R. Gonçalves, J. Poulter Properties of the two-dimensional random-bond [Formula Presented] Ising spin glass. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. Vol.58, No.2 (1998), 1502-1507. doi:10.1103/PhysRevE.58.1502 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/18430
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Title
Properties of the two-dimensional random-bond [Formula Presented] Ising spin glass
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Abstract
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.