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Application of the Coherent Anomaly Method to d-Dimensional Ising Spin Glasses

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Cooperative Dynamics in Complex Physical Systems

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 43))

Abstract

The spin-glass susceptibility is analyzed by the Coherent Anomaly Method (CAM) [1] applied to a series of closed-form approximations in the Cluster Variation Method (CVM) [2] for the random-bond Ising model on the square, cubic and hyper-cubic lattices. No spin-glass transition is obtained for the square lattice, while for the cubic lattice and higher dimensional lattices spin-glass transitions are obtained; the transition temperature and the exponent of the spin-glass susceptibility obtained for the cubic lattice are in good agreement with those by Monte Carlo simulations [3].

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References

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© 1989 Springer-Verlag Berlin, Heidelberg

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Fujiki, S. (1989). Application of the Coherent Anomaly Method to d-Dimensional Ising Spin Glasses. In: Takayama, H. (eds) Cooperative Dynamics in Complex Physical Systems. Springer Series in Synergetics, vol 43. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-74554-6_45

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  • DOI: https://doi.org/10.1007/978-3-642-74554-6_45

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-74556-0

  • Online ISBN: 978-3-642-74554-6

  • eBook Packages: Springer Book Archive

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