Journal of the Physical Society of Japan

Magnetic Susceptibility and Specific Heat of the Two-Dimensional Ising Model with the Nearest, or up to the Next Nearest Neighbor Interactions

Yoshiaki Tanaka, Norikiyo Uryû

Published Apr 15, 1993• 3 citations

Abstract

In the Ising model on a helical lattice with period M (in the limit M →∞ of this lattice, the model corresponds to the two-dimensional Ising model), the exact simultaneous equations to calculate physical quantities are derived. The zero field magnetic susceptibility χ 0 , and also the specific heat C are obtained numerically for the system of M ≤11. Furthermore, in the Ising model with up to the next nearest neighbor interactions on the helical lattice, χ 0 and C are calculated for the system of M ≤9. The results obtained are an excellent approximation to the exact χ 0 and C of the two-dimensional systems.

DOI: 10.1143/jpsj.62.1305

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