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Classical one-dimensional Heisenberg model with an interaction of finite range

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  • Morita, T.
  • Horiguchi, T.

Abstract

It is shown that the thermodynamic quantities and spin correlation functions of the classical Heisenberg model on a linear chain are expressed in terms of the eigenvalue with the smallest absolute value and the corresponding eigenfunction of a homogeneous linear integral equation, where the range of the interaction is assumed to be finite. The magnetization and susceptibility at nonzero external magnetic fields are given as a function of temperature, for the case of the nearest neighbour ferromagnetic and antiferromagnetic interaction. Efforts are paid to determine the properties near zero temperature.

Suggested Citation

  • Morita, T. & Horiguchi, T., 1975. "Classical one-dimensional Heisenberg model with an interaction of finite range," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 83(3), pages 519-532.
    • Handle: RePEc:eee:phsmap:v:83:y:1975:i:3:p:519-532
    DOI: 10.1016/0378-4371(75)90018-7
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    References listed on IDEAS

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    1. Irene Lurie, 1975. "Work or Welfare? Factors in the Choice for AFDC Mothers by Mildred Rein," Journal of Human Resources, University of Wisconsin Press, vol. 10(3), pages 407-409.
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    Cited by:

    1. Katsura, Shigetoshi & Inawashiro, Sakari & Fujiki, Sumiyoshi, 1979. "Spin glasses for the infinitely long ranged bond Ising model and for the short ranged binary bond Ising model without use of the replica method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(1), pages 193-216.
    2. Chakraborty, K.G. & Morita, T., 1985. "A spin-one Ising model on the Bethe lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 129(2), pages 415-422.

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