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math-ph2022★ 3 cited
A Nonvanishing Spectral Gap for AKLT Models on Generalized Decorated Graphs
Angelo Lucia, Amanda Young
We consider the spectral gap question for AKLT models defined on decorated versions of simple, connected graphs G. This class of decorated graphs, which are defined by replacing al…
math-ph2022★ 3 cited
Stability of the spectral gap and ground state indistinguishability for a decorated AKLT model
Angelo Lucia, Alvin Moon, Amanda Young
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…