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

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

1996-05-07

arxiv.org/abs/hep-th/9605040v1

J.Phys. A29 (1996) 1949-1960

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/0305-4470/29/9/010

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.

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