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Title: Valence bond states on quantum spin chains as ground states with spectral gap
Authors: Fannes, Mark ×
Nachtergaele, B
Werner, Rf #
Issue Date: Feb-1991
Publisher: IOP Pub.
Series Title: Journal of Physics A. Mathematical and General vol:24 issue:4 pages:L185-L190
Abstract: We show that every translation invariant valence bond state on a one-dimensional quantum spin chain arises as the unique ground state of a certain family of finite-range interactions. For each interaction in this family we show the existence of a non-zero spectral gap above the ground state energy. A special example of this structure is a state recently studied by Affleck et al. For the Hamiltonian studied by these authors we can estimate the gap, and prove that it lies between 1/3 and 10/27.
URI: 
ISSN: 0305-4470
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Theoretical Physics Section
× corresponding author
# (joint) last author

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