Thermodynamics of Integrable Chains with Alternating Spins

Abstract

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.

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

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