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

Onofre Rojas, E.V. Corrêa Silva, S.M. de Souza and M.T. Thomaz

Physica A: Statistical Mechanics and its Applications, 2005, vol. 356, issue 2, 575-588

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.

Keywords: High temperature expansion; Statistical mechanics; Quantum spin chains; Composite spin; Magnetization (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:356:y:2005:i:2:p:575-588

DOI: 10.1016/j.physa.2005.02.091

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