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Prog. Theor. Phys. Vol. 40 No. 6 (1968) pp. 1246-1256

Theorems on Extended Ising Model with Applications to Dilute Ferromagnetism

Masuo Suzuki

The Institute for Solid State Physics, The University of Tokyo, Roppongi, Minato-ku, Tokyo

(Received June 8, 1968)

Abstract:

It is proved that the zeros of the partition function of an extended Ising model lie on a unit circle in the fugacity plane under certain conditions. Each spin assumes a general value. The key point of the proof is to derive a simple condition sufficient for zeros of polynomials to lie on a unit circle. Conjectured theorems on the Heisenberg model are also discussed.

URL : http://ptp.ipap.jp/link?PTP/40/1246/
DOI : 10.1143/PTP.40.1246

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 41 No. 6 (1969) pp. 1438-1449 :

   On the Distribution of Zeros for the Heisenberg Model

   Masuo Suzuki

2. Progress of Theoretical Physics Vol. 59 No. 2 (1978) pp. 662-664 :

   Lee-Yang Theorem on Generalized Ising Models with Degeneracy

   Mamoru Yamashita and Huzio Nakano

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