Thermodynamics of the bilinear-biquadratic spin one Heisenberg chain

Abstract

The magnetic susceptibility and specific heat of the one-dimensional S=1 bilinear-biquadratic Heisenberg model are calculated using the transfer matrix renormalization group. By comparing the results with the experimental data of $\mathrm{LiVG}{\mathrm{e}}_2{\mathrm{O}}_6$ measured by Millet et al. (Phys. Rev. Lett. {\bf 83}, 4176 (1999)), we find that the susceptibility data of this material, after subtracting the impurity contribution, can be quantitatively explained with this model. The biquadratic exchange interaction in this material is found to be ferromagnetic, i.e. with a positive coupling constant.

4 pages, 4 postscript figures

References in corpus (3)

• Thermodynamics of quantum Heisenberg spin chains
• Biquadratic interactions and spin-Peierls transition in the spin 1 chain LiVGe2O6
• Delta-Function Bose Gas Picture of S=1 Antiferromagnetic Quantum Spin Chains Near Critical Fields

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