Thermodynamics of the Anisotropic Spin-1/2 Heisenberg Chain and Related Quantum Chains
Abstract
The free energy and correlation lengths of the spin-1/2 XYZ chain are studied at finite temperature. We use the quantum transfer matrix approach and derive non-linear integral equations for all eigenvalues. Analytic results are presented for the low-temperature asymptotics, in particular for the critical XXZ chain in an external magnetic field. These results are compared to predictions by conformal field theory. The integral equations are solved numerically for the non-critical XXZ chain and the related spin-1 biquadratic chain at arbitrary temperature.
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