Thermodynamics of Integrable Chains with Alternating Spins

Details Thermodynamics of Integrable Chains with Alternating Spins Thermodynamics of Integrable Chains with Alternating Spins

1993-03-08

arxiv.org/abs/hep-th/9303043v2

Phys.Rev. B49 (1994) 13223-13226

Physics

High Energy Physics

High Energy Physics - Theory

10 pages (change in the speed of sound by a factor of 2, implying central charge c_{vir} = 2)

Scientific paper

10.1103/PhysRevB.49.13223

We consider a two-parameter $(\bar c, \tilde c)$ family of quantum integrable Hamiltonians for a chain of alternating spins of spin $s=1/2$ and $s=1$. We determine the thermodynamics for low-temperature $T$ and small external magnetic field $H$, with $T << H$. In the antiferromagnetic $(\bar c > 0, \tilde c > 0)$ case, the model has two gapless excitations. In particular, for $\bar c = \tilde c$, the model is conformally invariant and has central charge $c_{vir} = 2$. When one of these parameters is zero, the Bethe Ansatz equations admit an infinite number of solutions with lowest energy.

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