TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.17.1.013
TI  - Decorated defect construction of gapless-SPT states
PY  - 2024/07/15
UR  - https://www.scipost.org/SciPostPhys.17.1.013
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 17
IS  - 1
SP  - 013
A1  - Li, Linhao
AU  - Oshikawa, Masaki
AU  - Zheng, Yunqin
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.17.1.013,
	title={{Decorated defect construction of gapless-SPT states}},
	author={Linhao Li and Masaki Oshikawa and Yunqin Zheng},
	journal={SciPost Phys.},
	volume={17},
	pages={013},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.17.1.013},
	url={https://scipost.org/10.21468/SciPostPhys.17.1.013},
}