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Fragmentation-induced localization and boundary charges in dimensions two and above

by Julius Lehmann, Pablo Sala de Torres-Solanot, Frank Pollmann, Tibor Rakovszky

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Submission summary

Authors (as registered SciPost users): Julius Lehmann · Tibor Rakovszky · Pablo Sala de Torres-Solanot
Submission information
Preprint Link: scipost_202209_00033v3  (pdf)
Date submitted: 2023-02-21 21:01
Submitted by: Sala de Torres-Solanot, Pablo
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • Quantum Physics
  • Statistical and Soft Matter Physics
Approaches: Theoretical, Computational

Abstract

We study higher dimensional models with symmetric correlated hoppings, which generalize a one-dimensional model introduced in the context of dipole-conserving dynamics. We prove rigorously that whenever the local configuration space takes its smallest non-trivial value, these models exhibit localized behavior due to fragmentation, in any dimension. For the same class of models, we then construct a hierarchy of conserved quantities that are power-law localized at the boundary of the system with increasing powers. Combining these with Mazur's bound, we prove that boundary correlations are infinitely long lived, even when the bulk is not localized. We use our results to construct quantum Hamiltonians that exhibit the analogues of strong zero modes in two and higher dimensions

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Comments

Alexey Khudorozhkov  on 2023-02-22  [id 3390]

The authors addressed all the issues. I think the paper satisfies all the criteria for publication in SciPost Physics. I am happy to recommend it for publication.