Date of this Version
Physical Review B
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.
Shapira, S., Klein, L., Adler, J., Aharony, A., & Harris, A. (1994). Phase Diagram of the Dilute Ising Spin Glass in General Spatial Dimension. Physical Review B, 49 (13), 8830-8841. http://dx.doi.org/10.1103/PhysRevB.49.8830
Date Posted: 12 August 2015
This document has been peer reviewed.