Ground state and low excitations of an integrable chain with alternating spins

Abstract

An anisotropic integrable spin chain, consisting of spins $s=1$ and $s=\frac{1}{2}$, is investigated \cite{devega}. It is characterized by two real parameters $\bar{c}$ and $\tilde{c}$, the coupling constants of the spin interactions. For the case $\bar{c}<0$ and $\tilde{c}<0$ the ground state configuration is obtained by means of thermodynamic Bethe ansatz. Furthermore the low excitations are calculated. It turns out, that apart from free magnon states being the holes in the ground state rapidity distribution, there exist bound states given by special string solutions of Bethe ansatz equations (BAE) in analogy to \cite{babelon}. The dispersion law of these excitations is calculated numerically.

16 pages, LaTeX, uses ioplppt.sty and PicTeX macros

References in corpus (2)

• Critical Behaviour of integrable mixed spins chains
• Scalar Kinks

Cited by in corpus (8)

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• Thermodynamics and conformal properties of XXZ chains with alternating spins
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• Dispersion relations and speeds of sound in special sectors for the integrable chain with alternating spins
• Multi-Magnon Scattering in the Ferromagnetic XXX-Model with Inhomogeneities