Optimum ground states for spin-$\frac{3}{2}$ chains

Details Optimum ground states for spin-$\frac{3}{2}$ chains Optimum ground states for spin-$\frac{3}{2}$ chains

1996-02-14

arxiv.org/abs/cond-mat/9602080v1

Z. Phys. B 101(2), p. 289-297 (1996)

Physics

Condensed Matter

LaTeX, 22 pages, 6 embedded Postscript figures

Scientific paper

10.1007/s002570050211

We present a set of {\em optimum ground states} for a large class of spin-$\frac{3}{2}$ chains. Such global ground states are simultaneously ground states of the local Hamiltonian, i.e. the nearest neighbour interaction in the present case. They are constructed in the form of a matrix product. We find three types of phases, namely a {\em weak antiferromagnet}, a {\em weak ferromagnet}, and a {\em dimerized antiferromagnet}. The main physical properties of these phases are calculated exactly by using a transfer matrix technique, in particular magnetization and two spin correlations. Depending on the model parameters, they show a surprisingly rich structure.

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