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Cited by 186

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Series Study of a Spin-Glass Model in Continuous Dimensionality

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Fisch, R., Harris, A. B.·1977·Physical Review Letters

Abstract

A high-temperature series expansion for the Edwards and Anderson spin-glass order-parameter susceptibility is computed for Ising spins on hypercubic lattices with nearest-neighbor interactions. The series is analyzed by Pad\'e approximants with Rudnick-Nelson-type corrections to scaling. The results agree with the first-order $\ensuremath{\epsilon}$ expansion of Harris, Lubensky, and Chen. The critical exponent ${\ensuremath{\gamma}}_{Q}$ increases monotonically with decreasing dimension, $d$, for $d<6$, and apparently tends to infinity at $d=4$; however, the critical temperature does not appear to go to zero at $d=4$.

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Metadata

Authors
Fisch, R., & Harris, A. B.
Venue
Physical Review Letters
Published
1977-04-04
Volume
38
Issue
14
Pages
785-787
ISSN
0031-9007 (ISSN-L)
OpenAlex
W2020065097
Cited by
186
References
1
FWCI
18.48
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Series Study of a Spin-Glass Model in Continuous Dimensionality. https://app.cochat.ai/papers/10.1103/physrevlett.38.785
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Fisch, R., & Harris, A. B. (1977). Series Study of a Spin-Glass Model in Continuous Dimensionality. Physical Review Letters. https://doi.org/10.1103/physrevlett.38.785

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