Thermodynamics of the quantum spin-S XXZ chain

Details Thermodynamics of the quantum spin-S XXZ chain Thermodynamics of the quantum spin-S XXZ chain

2005-04-20

arxiv.org/abs/cond-mat/0504527v1

Physics

Condensed Matter

Strongly Correlated Electrons

18 pages, 14 figures

Scientific paper

10.1140/epjb/e2005-00254-8

The thermodynamics of the spin-$S$ anisotropic quantum $XXZ$ chain with arbitrary value of $S$ and unitary norm, in the high-temperature regime, is reported. The single-ion anisotropy term and the interaction with an external magnetic field in the $z$-direction are taken into account. We obtain, for arbitrary value of $S$, the $\beta$-expansion of the Helmholtz free energy of the model up to order $\beta^6$ and show that it actually depends on $\frac{1}{S(S+1)}$. Its classical limit is obtained by simply taking $S\to \infty$. At $h=0$ and D=0, our high temperature expansion of the classical model coincides with Joyce's exact solution\cite{joyce_prl}. We study, in the high temperature region, some thermodynamic quantities such as the specific heat and the magnetic susceptibility as functions of spin and verify for which values of $S$ those thermodynamic functions behave classically. Their finite temperature behavior is inferred from interpolation of their high- and low-temperature behavior, and shown to be in good agreement with numerical results. The finite temperature behavior is shown for higher values of spin.

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