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Thermodynamics of the S=1 spin ladder as a composite S=2 chain model

Author

Listed:
  • Rojas, Onofre
  • Corrêa Silva, E.V.
  • de Souza, S.M.
  • Thomaz, M.T.

Abstract

A special class of S=1 spin ladder Hamiltonians, with second-neighbor exchange interactions and with anisotropies in the z-direction, can be mapped onto one-dimensional composite S=2 (tetrahedral S=1) models. We calculate the high temperature expansion of the Helmoltz free energy for the latter class of models, and show that their magnetization behaves closely to that of standard XXZ models with a suitable effective spin Seff, such that Seff(1+Seff)=〈S⇒i2〉, where Si refers to the components of spin in the composite model. It is also shown that the specific heat per site of the composite model, on the other hand, can be very different from that of the effective spin model, depending on the parameters of the Hamiltonian.

Suggested Citation

  • Rojas, Onofre & Corrêa Silva, E.V. & de Souza, S.M. & Thomaz, M.T., 2005. "Thermodynamics of the S=1 spin ladder as a composite S=2 chain model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 356(2), pages 575-588.
    • Handle: RePEc:eee:phsmap:v:356:y:2005:i:2:p:575-588
    DOI: 10.1016/j.physa.2005.02.091
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