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Topological Quantum Computing

Non-Hermitian CNH = 2 Chern insulator protected by generalized rotational symmetry

arXiv
Authors: Kai Chen, Alexander B. Khanikaev

Year

2021

Paper ID

41321

Status

Preprint

Abstract Read

~2 min

Abstract Words

107

Citations

N/A

Abstract

We propose a non-Hermitian topological system protected by the generalized rotational symmetry which invokes rotation in space and Hermitian conjugation. The system, described by the tight-binding model with nonreciprocal hopping, is found to host two pairs of in-gap edge modes in the gapped topological phase and is characterized by the non-Hermitian (NH) Chern number CNH=2. The quantization of the non-Hermitian Chern number is shown to be protected by the generalized rotational symmetry Ĥ+=ÛĤÛ+ of the system. Our finding paves the way towards novel non-Hermitian topological systems characterized by large values of topological invariants and hosting multiple in-gap edge states, which can be used for topologically resilient multiplexing.

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  • This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
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  • We propose a non-Hermitian topological system protected by the generalized rotational symmetry which invokes rotation in space and Hermitian conjugation.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2111.12573 [2] arXiv https://arxiv.org/abs/2111.12573 [3] Publisher https://arxiv.org/abs/2111.12573

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