TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.5.153
TI  - Intrinsically/purely gapless-SPT from non-invertible duality transformations
PY  - 2025/05/13
UR  - https://scipost.org/SciPostPhys.18.5.153
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 5
SP  - 153
A1  - Li, Linhao
AU  - Oshikawa, Masaki
AU  - Zheng, Yunqin
AB  - The Kennedy-Tasaki (KT) transformation was used to construct the gapped symmetry protected topological (SPT) phase from the symmetry breaking phase with open boundary condition, and was generalized in our proceeding work [Phys. Rev. B 108, 214429 (2023)] on a ring by sacrificing the unitarity, and should be understood as a non-invertible duality transformation. In this work, we further apply the KT transformation to systematically construct gapless symmetry protected topological phases. This construction reproduces the known examples of (intrinsically) gapless SPT where the non-trivial topological features come from the gapped sectors by means of decorated defect constructions. We also construct new (intrinsically) purely gapless SPTs where there are no gapped sectors, hence are beyond the decorated defect construction. This construction elucidates the field theory description of the various gapless SPTs, and can also be applied to analytically study the stability of various gapless SPT models on the lattice under certain symmetric perturbations.
ER  -

@Article{10.21468/SciPostPhys.18.5.153,
	title={{Intrinsically/purely gapless-SPT from non-invertible duality transformations}},
	author={Linhao Li and Masaki Oshikawa and Yunqin Zheng},
	journal={SciPost Phys.},
	volume={18},
	pages={153},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.5.153},
	url={https://scipost.org/10.21468/SciPostPhys.18.5.153},
}