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Cited by 177

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Real space rescaling study of spin glass behaviour in three dimensions

Southern, B W, Young, A P·1977·Journal of Physics C: Solid State Physics

Abstract

The Edwards and Anderson model (1975) for spin glasses is investigated by a real space rescaling transformation on an S= 1 / 2 Ising Hamiltonian with nearest-neighbour-only interactions in three dimensions. A transition to a spin glass ordered phase is found at about half the mean transition temperature, in contrast to earlier work on a two-dimensional model where no transition was found. The results suggest that the lower critical dimensionality, d c , for spin glass order is slightly greater than 2, although possibly d c =2 exactly. The specific heat is calculated and found to exhibit a broad maximum above T c , with no discernable singularity at the transition since the exponent alpha is large and negative.

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Metadata

Authors
Southern, B. W., & Young, A. P.
Venue
Journal of Physics C: Solid State Physics
Published
1977-06-28
Volume
10
Issue
12
Pages
2179-2195
ISSN
0022-3719 (ISSN-L)
OpenAlex
W2128001736
Cited by
177
References
1
FWCI
5.97
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Real space rescaling study of spin glass behaviour in three dimensions. https://app.cochat.ai/papers/10.1088/0022-3719/10/12/023
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Southern, B. W., & Young, A. P. (1977). Real space rescaling study of spin glass behaviour in three dimensions. Journal of Physics C: Solid State Physics. https://doi.org/10.1088/0022-3719/10/12/023

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