Stability of the Spectral Gap and Ground State Indistinguishability for a Decorated AKLT Model

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  • Angelo Lucia
  • Alvin Moon
  • Amanda Young

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.

OriginalsprogEngelsk
TidsskriftAnnales Henri Poincare
ISSN1424-0637
DOI
StatusE-pub ahead of print - 2024

Bibliografisk note

Funding Information:
A.M. was supported by the EU Horizon 2020 program under the Marie Sklodowska-Curie Grant Agreement No. 101023822. A.L. was supported by Grant RYC2019-026475-I funded by MCIN/AEI/10.13039/501100011033 and by “ESF Investing in your future,” by Grants PID2020-113523GB-I00 and CEX2019-000904-S funded by MCIN/AEI/10.13039/501100011033, and by Comunidad de Madrid (Grant QUITEMAD-CM, ref. P2018/TCS-4342). A.Y. was supported by the DFG under EXC-2111-390814868. A.M. thanks Bergfinnur Durhuus helpful discussions, and all of the authors thank Bruno Nachtergaele for helpful discussions and comments on this work.

Publisher Copyright:
© 2023, The Author(s).

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