TY - JOUR

T1 - Phase diagram of the dilute Ising spin glass in general spatial dimension

AU - Shapira, Shye

AU - Klein, Lior

AU - Adler, Joan

AU - Aharony, Amnon

AU - Harris, A. B.

PY - 1994/1/1

Y1 - 1994/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=2842586500&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.49.8830

DO - 10.1103/PhysRevB.49.8830

M3 - Article

AN - SCOPUS:2842586500

VL - 49

SP - 8830

EP - 8841

JO - Physical Review B

JF - Physical Review B

SN - 2469-9950

IS - 13

ER -