New Family of Solvable 1D Heisenberg Models

Details New Family of Solvable 1D Heisenberg Models New Family of Solvable 1D Heisenberg Models

1994-05-13

arxiv.org/abs/cond-mat/9405038v1

J.Phys. A27 (1994) L801-L808

Physics

Condensed Matter

8 pp, LaTeX, ITP-UH-07/94

Scientific paper

Starting from a Calogero--Sutherland model with hyperbolic interaction confined by an external field with Morse potential we construct a Heisenberg spin chain with exchange interaction $\propto 1/\sinh^2 x$ on a lattice given in terms of the zeroes of Laguerre polynomials. Varying the strength of the Morse potential the Haldane--Shastry and harmonic spin chains are reproduced. The spectrum of the models in this class is found to be that of a classical one-dimensional Ising chain with nonuniform nearest neighbour coupling in a nonuniform magnetic field which allows to study the thermodynamics in the limit of infinite chains.

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