Looking at the Haldane Conjecture from a Grouptheoretical Point of View
classification
❄️ cond-mat
keywords
degenerategroundstatecaseconjectureconstructioncriticaldiscussfamily
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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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