RT Journal Article T1 Stability of the spectral gap and ground state indistinguishability for a decorated AKLT model A1 Moon, Alvin A1 Young, Amanda A1 Lucia, Angelo AB 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. PB Springer Nature SN 1424-0637 SN 1424-0661 YR 2023 FD 2023-12-27 LK https://hdl.handle.net/20.500.14352/96880 UL https://hdl.handle.net/20.500.14352/96880 LA eng NO 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 NO European Comission NO Ministerio de Ciencia, Innovación y Universidades (España) NO Comunidad de Madrid NO DFG DS Docta Complutense RD 8 abr 2025