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NATO ASI series. Series B : Physics

Integrable S=1/2 Quantum Spin Chains with Short-Range Exchange

V. I. Inozemtsev

Published Jan 1, 1994• 0 citations
Publisher
DOI
10.1007/978-1-4615-2460-1_26

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Journal of Physics Condensed Matter•Jun 18, 1990•1 citation
Dependence of the thermodynamic properties of the quantum spin chain on temperature and external magnetic field is investigated using the functional integral method with short range exchange interaction in isotropic Heisenberg model. The results in mean field approximation (MFA) and spin fluctuation approximation (SFA) are showed and compared with ones of other authors. Besides, the spin fluctuation breaks magnetic order in low dimensional spin systems with the short range exchange interaction in the isotropic Heisenberg model without the external magnetic field.
The authors consider a quantum spin chain with S= 1 / 2 and anisotropic exchange (XXZ model) with Delta =- 3 / 2 . This integrable system has a partial mapping to an S=1 chain with pure biquadratic exchange. They calculate the magnetisation curves at zero temperature which are identical for the two systems. They also use the integral equations obtained by Gaudin to study the specific heat as a function of temperature and magnetic field. The results are compared with numerical calculations for short chains of the S=1 system. The maximum occurs at approximately the same position for the two systems, but the shapes of the curves differ considerably.