Abstract
We study a non-Hermitian non-Abelian topological insulator preserving symmetry, where the non-Hermitian term represents nonreciprocal hoppings. As it increases, a spontaneous symmetry breaking transition occurs in the perfect-flat band model from a real-line-gap topological insulator into an imaginary-line-gap topological insulator. By introducing a band bending term, we realize two phase transitions, where a metallic phase emerges between the above two topological insulator phases. We discuss an electric-circuit realization of non-Hermitian non-Abelian topological insulators. We find that the spontaneous symmetry breaking as well as the edge states are well observed by the impedance resonance.
- Received 18 July 2021
- Accepted 13 September 2021
DOI:https://doi.org/10.1103/PhysRevResearch.3.043006
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
Published by the American Physical Society