Extension to order beta(23) of the high-temperature expansions for the spin-1/2 Ising model on simple cubic and body-centered cubic lattices

摘要

Using a renormalized linked-cluster-expansion method, we have extended to order beta (23) the high-temperature series for the susceptibility chi and the second-moment correlation length xi of the spin-1/2 Ising models on the sc and the bce lattices. A study of these expansions yields updated direct estimates of universal parameters, such as exponents and amplitude ratios, which characterize the critical behavior of chi and xi. Our best estimates for the inverse critical temperatures are beta (sc)(c)= 0.221 654(1) and beta (sc)(c)(=) 0.157 372 5(6). For the susceptibility exponent we get gamma= 1.2375(6) and for the correlation length exponent v= 0.6302(4). The ratio of the critical amplitudes of X above and below the critical temperature is estimated to be C+ /C- = 4.762(8). The analogous ratio for xi is estimated to be f(+) /f(-)=1.963(8). For the correction-to-scaling amplitude ratio we obtain alpha (+)(xi)/alpha (+)(chi) =0.87(6). [References: 94]