2026-06-08T01:01:05Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/968802025-09-18T15:42:18Zcom_20.500.14352_14col_20.500.14352_15

Moon, Alvin Young, Amanda Lucia, Angelo 2024-01-31T08:49:07Z 2024-01-31T08:49:07Z 2023 Lucia A, Moon A, Young A (2024) Stability of the Spectral Gap and Ground State Indistinguishability for a Decorated AKLT Model. Ann Henri Poincaré 25(8):3603–3648. https://doi.org/10.1007/s00023-023-01398-8 1424-0637 10.1007/s00023-023-01398-8 https://hdl.handle.net/20.500.14352/96880 https://doi.org/10.1007/s00023-023-01398-8 https://link.springer.com/article/10.1007/s00023-023-01398-8 We use cluster expansion methods to establish local the 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, and so, the spectral gap above the ground state is stable against local perturbations. eng http://creativecommons.org/licenses/by/4.0/ open access Attribution 4.0 International Stability of the spectral gap and ground state indistinguishability for a decorated AKLT model journal article