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    Please use this identifier to cite or link to this item: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/80709


    Title: Exchange Interaction Model of Ferromagnetism
    Authors: H.H. Chen;R.I. Joseph
    教師: 陳信雄
    Date: 1972
    Publisher: American Institute of Physics
    Relation: JOURNAL OF MATHEMATICAL PHYSICS, American Institute of Physics, Volume 13, Issue 5, 1972, Pages 725-&
    Keywords: Exchange Interaction Model
    Ferromagnetism
    Abstract: The Schrödinger exchange operator for arbitrary spin has been used to form an interaction Hamiltonian for a nearest‐neighbor model of ferromagnetism. Through use of the cluster expansion method and new group theoretic results in conjunction with the diagrammatic method, eight terms in the high temperature series for the zero‐field partition function and the low‐field susceptibility are obtained for arbitrary spin and general crystal lattice. Critical parameters are estimated from these series by means of various ratio tests and Padé approximants. For the cubic lattices the Curie temperature Tc and the critical index γ are given by

    and

    respectively, where Y = 2S + 1. Comparison of these results with those appropriate to the Heisenberg model as well as to experimental values is made. The concept of multipolar ordering is also discussed. It is shown that for the present model all of the 2S ``independent'' multipolar phase transitions are exactly degenerate with the usual dipolar transition.
    Relation Link: http://www.aip.org/
    URI: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/80709
    Appears in Collections:[陳信雄 (1997-1998)] 期刊論文
    [物理系] 期刊論文

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