SciPost Submission Page
Decorated Defect Construction of Gapless-SPT States
by Linhao Li, Masaki Oshikawa, Yunqin Zheng
Submission summary
| 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 |
| Specialties: |
- Condensed Matter Physics - Theory
- High-Energy Physics - Theory
|
| Approach: |
Theoretical |
Abstract
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.
