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Higher-order topology protected by latent crystalline symmetries

by Lumen Eek, Malte Röntgen, Anouar Moustaj, Cristiane Morais Smith

Submission summary

Authors (as registered SciPost users): Anouar Moustaj
Submission information
Preprint Link: https://arxiv.org/abs/2405.02704v2  (pdf)
Date submitted: 2024-10-02 14:15
Submitted by: Moustaj, Anouar
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
Approach: Theoretical

Abstract

We demonstrate that rotation symmetry is not a necessary requirement for the existence of fractional corner charges in Cn-symmetric higher-order topological crystalline insulators. Instead, it is sufficient to have a latent rotation symmetry, which may be revealed upon performing an isospectral reduction on the system. We introduce the concept of a filling anomaly for latent crystalline symmetric systems, and propose modified topological invariants. The notion of higher-order topology in two dimensions protected by Cn symmetry is thus generalized to a protection by latent symmetry. Our claims are corroborated by concrete examples of models that show non-trivial corner charge in the absence of Cn-symmetry. This work extends the classification of topological crystalline insulators to include latent symmetries.

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:
In refereeing

Reports on this Submission

Report #1 by Anonymous (Referee 1) on 2024-11-2 (Invited Report)

Strengths

Breaks new ground concerning the development of concepts and their application w.r.t. latent symmetries to topological crystals of higher order. Combines latest developments in the field of higher order topology with latent symmetry concept. Shows concrete examples and a very thorough analysis of the band structure and its topological character.

Weaknesses

Occasionally a little difficult to read and follow due to many aspects being illuminated.

Report

See the attached report.

Requested changes

See the attached report.

Attachment


Recommendation

Ask for minor revision

  • validity: top
  • significance: top
  • originality: top
  • clarity: good
  • formatting: perfect
  • grammar: excellent

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