Phase diagram of the dilute Ising spin glass in general spatial dimension

Shye Shapira*, Lior Klein, Joan Adler, Amnon Aharony, A. B. Harris

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


We use high-temperature and low-concentration series to treat the dilute spin glass within a model with nearest-neighbor interactions which randomly assume the values +J, 0, -J with probabilities p/2, 1-p, p/2, respectively. Using the Harris no-free-end diagrams scheme in general spatial dimension, we obtained 15th-order series for χEA as a function of temperature for arbitrary dilution, 14th-order series for χEA as a function of dilution for selected temperatures, and 11th-order series for two higher derivatives of χEA with respect to the ordering field, where χEA is the Edwards-Anderson spin-glass susceptibility. Analysis of these series yields values of TSG(p), the critical temperature as a function of the dilution p or the analogous critical concentration pSG(T). Thus we determine a critical line, separating the spin-glass phase from the paramagnetic phase in the T-p plane. We find values of the critical exponent γ and universal amplitude ratios along the critical line. Universal amplitude ratios and dominant exponents along the critical line are identical to those of the pure spin glass for a wide range of dilution, indicating the same critical behavior as that of the pure spin glass.

Original languageEnglish
Pages (from-to)8830-8841
Number of pages12
JournalPhysical Review B-Condensed Matter
Issue number13
StatePublished - 1994


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