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Prog. Theor. Phys. Vol. 67 No. 1 (1982) pp. 118-130

Gaussian Random Bond Problem for Annealed System in 1/n Expansion

Michiyoshi Oku^* and Ryuzo Abe^*,**

^* Department of Pure and Applied Sciences, University of Tokyo, Komaba, Tokyo 153
^**Theoretical Physics Institute and Department of Physics, University of Alberta, Edmonton, T6G 2J1

(Received June 10, 1981)

Abstract:

Critical phenomena for the for the annealed n-vector model are studied in 1/n expansion by assuming that the exchange interactions between spins are fluctuating variables obeying the Gaussian distribution. It is shown that for an overall fluctuation of the interaction between spins the susceptibility never diverges at any finite temperature except for n→∞ (spherical limit) and n=1 (Ising) cases.
On the other hand, if the fluctuation is restricted to only nearest-neighbor pairs, the susceptibility is proved to diverge at an appropriate transition temperature in the limit n→∞. The critical exponent γ in this case is shown to be the same as the spherical model value. Also the dependence of transition temperature on the strength of fluctuation is discussed.

URL : http://ptp.ipap.jp/link?PTP/67/118/
DOI : 10.1143/PTP.67.118

[ Full Text PDF : FREE ACCESS (444K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 68 No. 6 (1982) pp. 2176-2179 :

   Phase Diagram in the Large N Limit of the Annealed N-Vector Model with Gaussian Random Bonds and Its Relation to the RP^N-1 Model

   Michiyoshi Oku

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