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  • Campbell, Ian A., et al. (author)
  • Hyperscaling Violation in Ising Spin Glasses
  • 2019
  • In: Entropy. - : MDPI. - 1099-4300. ; 21:10
  • Journal article (peer-reviewed)abstract
    • In addition to the standard scaling rules relating critical exponents at second order transitions, hyperscaling rules involve the dimension of the model. It is well known that in canonical Ising models hyperscaling rules are modified above the upper critical dimension. It was shown by M. Schwartz in 1991 that hyperscaling can also break down in Ising systems with quenched random interactions; Random Field Ising models, which are in this class, have been intensively studied. Here, numerical Ising Spin Glass data relating the scaling of the normalized Binder cumulant to that of the reduced correlation length are presented for dimensions 3, 4, 5, and 7. Hyperscaling is clearly violated in dimensions 3 and 4, as well as above the upper critical dimension D=6. Estimates are obtained for the "violation of hyperscaling exponent" values in the various models.
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Lundow, Per Håkan (1)
Campbell, Ian A. (1)
University
Umeå University (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
2019 (1)

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