Journal of Statistical Physics

, Volume 46, Issue 3–4, pp 559–565 | Cite as

Initial perpendicular isothermal susceptibility formulas for the transverse general-spin Ising and Blume-Capel models

  • B. Frank
  • M. Elofer


Using a Kubo formula and the Suzuki identities, expressions are derived for the initial perpendicular susceptibilities χ of the transverse spin-S Ising and spin-S Blume-Capel models on regular and irregular lattices. χ is given in terms of the thermal average of a function of the peripheral sumOi= εjJi,jSj, where coupling to distant neighbors may be included, as well as arbitrary local parallel magnetic fieldshj. For the Ising model on a Bravais lattice, e.g., the susceptibility is given by
$$\chi _ \bot = Nm^2 S^{ - 2} \langle B_s (\beta [O_i + h_i ])/[O_i + h_i ]\rangle $$
whereBs is the Brillouin function. ForS=1/2, the formula of Fisher and the results of Horiguchi and Morita are regained. A connection is made with the general-spin work of Essam and Garelick.

Key words

Perpendicular susceptibility isothermal susceptibility Ising model Blume-Capel model 


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Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • B. Frank
    • 1
  • M. Elofer
    • 1
  1. 1.Department of PhysicsConcordia UniversityMontrealCanada

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