Ig. Enting et al., LOW-TEMPERATURE SERIES EXPANSIONS FOR THE SPIN-1 ISING-MODEL, Journal of physics. A, mathematical and general, 27(21), 1994, pp. 6987-7005
The finite-lattice method of series expansion has been used to extend
low-temperature series for the partition function, order parameter and
susceptibility of the spin-1 Ising model on the square lattice. A new
formalism is described which uses two distinct transfer-matrix approa
ches in order to significantly reduce computer memory requirements and
which permits the derivation of the series to 79th order. Subsequent
analysis of the series clearly confirms that the spin-1 model has the
same dominant critical exponents as the spin-1/2 Ising model. Accurate
estimates for both the critical temperature and non-physical singular
ities are obtained. In addition, evidence for a non-analytic confluent
correction with exponent DELTA1 = 1.1 +/- 0.1 is found.