Assuming unique gapped ground states on finite open chains with boundary fields, the infinite S=1 AF Heisenberg chain is proven to have a nontrivial SPT topological index.
Ground states in relatively bounded quantum perturbations of classical lattice systems
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abstract
We consider ground states in relatively bounded quantum perturbations of classical lattice models. We prove general results about such perturbations (existence of the spectral gap, exponential decay of truncated correlations, analyticity of the ground state), and also prove that in particular the AKLT model belongs to this class if viewed at large enough scale. This immediately implies a general perturbation theory about this model.
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cond-mat.stat-mech 1years
2024 1verdicts
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The Ground State of the S=1 Antiferromagnetic Heisenberg Chain is Topologically Nontrivial if Gapped
Assuming unique gapped ground states on finite open chains with boundary fields, the infinite S=1 AF Heisenberg chain is proven to have a nontrivial SPT topological index.