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Quasiperiodic Quadrupole Insulators

by Raul Liquito, Miguel Gonçalves, Eduardo V. Castro

Submission summary

Authors (as registered SciPost users): Raul Liquito
Submission information
Preprint Link: https://arxiv.org/abs/2406.17602v2  (pdf)
Date submitted: 2024-07-03 14:40
Submitted by: Liquito, Raul
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • Condensed Matter Physics - Computational
Approaches: Theoretical, Computational

Abstract

Higher-order topological insulators are an intriguing new family of topological states that host lower-dimensional boundary states. Concurrently, quasiperiodic systems have garnered significant interest due to their complex localization and topological properties. In this work we study the impact of quasiperiodic modulations on the paradigmatic Benalcazar-Bernevig-Hughes model, which hosts topological insulating phases with zero-energy corner modes. We find that the topological properties are not only robust to the quasiperiodic modulation, but can even be enriched. In particular, we unveil the first instance of a quasiperiodic induced second-order topological insulating phase. Furthermore, in contrast with disorder, we find that quasiperiodic modulations can induce multiple reentrant topological transitions, showing an intricate sequence of localization properties. Our results open a promising avenue for exploring the rich interplay between higher-order topology and quasiperiodicity.

Author indications on fulfilling journal expectations

  • Provide a novel and synergetic link between different research areas.
  • Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
  • Detail a groundbreaking theoretical/experimental/computational discovery
  • Present a breakthrough on a previously-identified and long-standing research stumbling block
Current status:
Awaiting resubmission

Reports on this Submission

Report #1 by Anonymous (Referee 1) on 2024-10-2 (Invited Report)

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This manuscript does not meet the journal's criteria number 1 and 2:

* Provide a novel and synergetic link between different research areas (they provide a synergetic link, but it is not novel)

* Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work (no new pathway/already existing results)

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