The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Percolation thresholds in Ising magnets and conducting mixtures
Abstract
The effect of the percolation threshold on conduction in mixtures and on the magnetic ordering temperature in alloys of high- and low- ${T}_{C}$ material is described using a real-space rescaling approximation (introduced by Kadanoff, following an idea of Migdal) which is applicable to systems of arbitrary spatial dimensionality $d$. We calculate exponents describing the regimes just above and just below ${p}_{c}$ for the case of bond dilution in resistor networks or Ising ferromagnets. The results are accurate for $d=2$ in those cases where comparison is possible and qualitatively correct for $d=3$, but are invalid in the limit $d\ensuremath{\rightarrow}\ensuremath{\infty}$. Ising spin glasses do not show order in 2 dimensions, in this approximation, but may do so in 3 dimensions.
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Citations
Cites
Kirkpatrick, S. (1973) · Reviews of Modern Physics · doi:10.1103/revmodphys.45.574 · Cited by 5,260
Self-citationEdwards, 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
Bergman, D. J., & Imry, Y. (1977) · Physical Review Letters · doi:10.1103/physrevlett.39.1222 · Cited by 447
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
Renormalization-group treatment of a Potts lattice gas for krypton adsorbed onto graphite
Berker, A. N., Ostlund, S., & Putnam, F. A. (1978) · Physical Review B · doi:10.1103/physrevb.17.3650 · Cited by 275
Tanner, D. B. (2019) · doi:10.1017/9781316672778 · Cited by 106
Metadata
- Authors
- Kirkpatrick, S.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1977-02-01
- Volume
- 15
- Issue
- 3
- Pages
- 1533-1538
- ISSN
- 0556-2805 (ISSN-L)
- OpenAlex
- W2052942733
- Cited by
- 201
- References
- 2
- FWCI
- 17.34
- Type
- journal article
- Language
- en
- Open access
- closed
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