Stability of the spectral gap and ground state indistinguishability for a decorated AKLT model
arXiv:2209.01141 · doi:10.1007/s00023-023-01398-8
Abstract
We use cluster expansions to establish local indistiguishability of the finite-volume ground states for the AKLT model on decorated hexagonal lattices with decoration parameter at least 5. Our estimates imply that the model satisfies local topological quantum order (LTQO), and so the spectral gap above the ground state is stable against local perturbations.
38 pages, 5 figures. v2: Updated acknowledgments section
References in corpus (9)
- Lieb-Robinson Bounds and the Exponential Clustering Theorem
- Propagation of Correlations in Quantum Lattice Systems
- -classification of gapped parent Hamiltonians of quantum spin chains
- An index for two-dimensional SPT states
- Vanishing Hall conductance for commuting Hamiltonians
- Rigorous Index Theory for One-Dimensional Interacting Topological Insulators
- The Asymmetric Valence-Bond-Solid States in Quantum Spin Chains: The Difference Between Odd and Even Spins
- Local stability of ground states in locally gapped and weakly interacting quantum spin systems
- Stability of invertible, frustration-free ground states against large perturbations