Abstract
It is shown for a class of antiferromagnetic Hamiltonians how one can get lower bounds for the energy gap above the ground state by diagonalizing a finite system. This method is applied to certain spin chains (including a spin-1 chain). Trial wave functons are proposed for the elementary excitations and are tested in the case of the spin-1 chain.
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Knabe, S. Energy gaps and elementary excitations for certain VBS-quantum antiferromagnets. J Stat Phys 52, 627–638 (1988). https://doi.org/10.1007/BF01019721
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DOI: https://doi.org/10.1007/BF01019721