TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.8.4.088
TI  - Classification of topological insulators and superconductors with multiple order-two point group symmetries
PY  - 2025/11/28
UR  - https://www.scipost.org/SciPostPhysCore.8.4.088
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 8
IS  - 4
SP  - 088
A1  - Shiozaki, Ken
AB  - We present a method for computing the classification groups of topological insulators and superconductors in the presence of $\mathbb{Z}_2^{× n}$ point group symmetries, for arbitrary natural numbers $n$. Each symmetry class is characterized by four possible additional symmetry types for each generator of $\mathbb{Z}_2^{× n}$, together with bit values encoding whether pairs of generators commute or anticommute. We show that the classification is fully determined by the number of momentum- and real-space variables flipped by each generator, as well as the number of variables simultaneously flipped by any pair of generators. As a concrete illustration, we provide the complete classification table for the case of $\mathbb{Z}_2^{× 2}$ point group symmetry.
ER  -

@Article{10.21468/SciPostPhysCore.8.4.088,
	title={{Classification of topological insulators and superconductors with multiple order-two point group symmetries}},
	author={Ken Shiozaki},
	journal={SciPost Phys. Core},
	volume={8},
	pages={088},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.8.4.088},
	url={https://scipost.org/10.21468/SciPostPhysCore.8.4.088},
}