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Prog. Theor. Phys. Vol. 52 No. 5 (1974) pp. 1431-1437

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Critical Behavior of an Extremely Anisotropic n-Vector Model

Shinobu Hikami

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

(Received October 11, 1973; Revised June 12, 1974)

Abstract:

The critical behavior of m-vector-like n-vector model is studied in the large n limit (m/n = 0) by 1/n expansion. In this limit, mean-field bahavior is obtained. For finite n, critical behavior becomes like m-vector. The crossover from mean-field behavior to m-vector-like behavior is considered in 1/n and 1/m expansions.


URL : http://ptp.ipap.jp/link?PTP/52/1431/
DOI : 10.1143/PTP.52.1431

[ Full Text PDF : FREE ACCESS (472K) ] Citation:


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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 52 No. 2 (1974) pp. 369-378 :
    Crossover Exponent of the Spin Anisotropic n-Vector Model with Short-Range Interaction in 1/n Expansion
    Shinobu Hikami and Ryuzo Abe
  2. Progress of Theoretical Physics Vol. 55 No. 3 (1976) pp. 665-671 :
    On an Extremely Anisotropic n-Vector Model in the Limit of Infinite n
    Paul A. Pearce and Colin J. Thompson