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Decorated Defect Construction of Gapless-SPT States

by Linhao Li, Masaki Oshikawa, Yunqin Zheng

Submission summary

Authors (as registered SciPost users): Yunqin Zheng
Submission information
Preprint Link: scipost_202307_00018v2  (pdf)
Date submitted: 2024-04-13 20:15
Submitted by: Zheng, Yunqin
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
  • High-Energy Physics - Theory
Approach: Theoretical


Symmetry protected topological (SPT) phases are one of the simplest, yet nontrivial, gapped systems that go beyond the Landau paradigm. In this work, we study an extension of the notion of SPT for gapless systems, namely, gapless symmetry protected topological states. We construct several simple gapless-SPT models using the decorated defect construction, which allow analytical understanding of non-trivial topological features including the symmetry charge under twisted boundary conditions, and boundary (quasi)-degeneracy under open boundary conditions. We also comment on the stability of the gapless-SPT models under symmetric perturbations, and apply small-scale exact diagonalization when direct analytic understanding is not available.

Current status:
Refereeing in preparation

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