Updated tests of scaling and universality for the spin-spin correlations in the 2-D and 3-D spin-S Ising models using high-temperature expansions

Jun, 2004
21 pages
Published in:
  • Phys.Rev.B 69 (2004) 174416
e-Print:
Report number:
  • BICOCCA-FT-03-35

Citations per year

2005200620072008102
Abstract:
We have extended, from order 12 through order 25, the high-temperature series expansions (in zero magnetic field) for the spin-spin correlations of the spin-S Ising models on the square, simple-cubic and body-centered-cubic lattices. On the basis of this large set of data, we confirm accurately the validity of the scaling and universality hypotheses by resuming several tests which involve the correlation function, its moments and the exponential or the second-moment correlation-lengths.