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Series Study of a Spin-Glass Model in Continuous Dimensionality
Open accessAbstract
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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Edwards, S. F., & Anderson, P. W. (1975) · Journal of Physics F: Metal Physics · doi:10.1088/0305-4608/5/5/017 · Cited by 3,991
Cited by
Stability of the Sherrington-Kirkpatrick solution of a spin glass model
Almeida, J. R. L. D., & Thouless, D. J. (1978) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/11/5/028 · Cited by 2,061
Lower critical dimension of Ising spin glasses: a numerical study
Bray, A. J., & Moore, M. A. (1984) · Journal of Physics C: Solid State Physics · doi:10.1088/0022-3719/17/18/004 · Cited by 340
Metadata
- Authors
- Fisch, R., & Harris, A. B.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- 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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