Looking at the Haldane Conjecture from a Grouptheoretical Point of View

Details Looking at the Haldane Conjecture from a Grouptheoretical Point of View Looking at the Haldane Conjecture from a Grouptheoretical Point of View

1994-03-03

arxiv.org/abs/cond-mat/9403011v1

Physics

Condensed Matter

9 pages RevTex 3.0

Scientific paper

10.1007/BF01313021

Based on the Lieb-Schultz-Mattis construction we present a five parameter
family of Spin-1 Hamiltonians with degenerate groundstate. Starting from the
critical $SU(3)$ symmetric Hamiltonian, we look for those perturbations of the
$SU(3)$ symmetry, which leave the groundstate degenerate. We also discuss the
spin-3/2 $SU(4)$-case.

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