PHASE-DIAGRAM OF THE DILUTE ISING SPIN-GLASS IN GENERAL SPATIAL DIMENSION

Article

关键词: RENORMALIZATION-GROUP;    CRITICAL-BEHAVIOR;    CONFLUENT SINGULARITIES;    PERCOLATION THRESHOLD;    SERIES EXPANSIONS;    ZERO TEMPERATURE;    TRANSITION;    MODELS;    ORDER;    SYSTEMS;   

DOI  :  10.1103/PhysRevB.49.8830

来源: SCIE

【 摘 要 】

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 chi(EA) as a function of temperature for arbitrary dilution, 14th-order series for chi(EA) as a function of dilution for selected temperatures, and 11th-order series for two higher derivatives of chi(EA) with respect to the ordering field, where chi(EA) is the Edwards-Anderson spin-glass susceptibility. Analysis of these series yields values of T(SG)(p), the critical temperature as a function of the dilution p or the analogous critical concentration p(SG)(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 gamma 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.

【 授权许可】

Free