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## Prog. Theor. Phys. Vol. 47 No. 1 (1972) pp. 62-68

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# Critical Exponent of the Ising Model in the High Density Limit

Department of Pure and Applied Sciences, University of Tokyo, Komaba, Meguro-ku, Tokyo

### Abstract:

The system under consideration is the d-dimensional simple hypercubical Ising ferromagnet with nearest-neighbor interaction. A critical exponent γ for the susceptibility is discussed in the high density limit (d →∞), and formal expressions for γ in powers of 1/d are derived. It is shown that the expansion for γ is not determined uniquely, contrary to the case of Curie point. It is suggested that the deviation of γ from mean field result is proportional to exp(-Bd) in the high density limit, and B is estimated by an extrapolation method.

DOI : 10.1143/PTP.47.62

[ Full Text PDF : FREE ACCESS (396K) ] Citation:

### References:

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### Citing Article(s) :

1. Progress of Theoretical Physics Vol. 47 No. 4 (1972) pp. 1200-1203 :
Critical Exponent of the Ising Model in the High Density Limit. II
Ryuzo Abe
2. Progress of Theoretical Physics Vol. 56 No. 2 (1976) pp. 494-497 :
A Modified 1/d Expansion for Critical Temperature of Spherical Model on Hypercubic Lattice
Ryuzo Abe