Low-Temperature Series Expansions for the Ising Model on Checkerboard Lattice with Crossing Interactions

Shuh-Ren Lin；Ger-Liang Shyu；Keh-Ying Lin

Chinese Journal of Physics

35卷1期（1997 / 02 / 01）

69 - 77

英文

We have calculated the low-temperature series expansions of the spontaneous magnetization and the zero-field susceptibility of the Ising model on a checkerboard lattice with first and second neighbour interactions to the 16th and 13th order respectively. We use the Pad6 approximants to estimate the critical exponents and our results are consistent with the universality hypothesis which predicts that all two-dimensional Ising models have the same critical exponent β = 0.125.