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On the anisotropic Heisenberg chain

Author

Listed:
  • van Dongen, E.J.
  • Capel, H.W.
  • Siskens, Th.J.

Abstract

High-temperature expansions are derived for the specific heat and the χzz element of the susceptibility tensor for a linear chain of spins 12 with anisotropic nearest-neighbour interactions. (The coupling constants J1, J2 and J3 are chosen to be different.) Use is made of exact results of the XY model, a first-order perturbation calculation in J3, a high-temperature expansion for the transverse susceptibility χxx of the anisotropic XY model and the high-temperature expansion for the isotropic Heisenberg chain. Some characteristic features of deviations from the case of axial symmetry in the coupling constants are discussed.

Suggested Citation

  • van Dongen, E.J. & Capel, H.W. & Siskens, Th.J., 1975. "On the anisotropic Heisenberg chain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 79(6), pages 617-633.
  • Handle: RePEc:eee:phsmap:v:79:y:1975:i:6:p:617-633
    DOI: 10.1016/0378-4371(75)90010-2
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