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Non-Hermitian Chern Bands

Yao, Shunyu ; Song, Fei ; Wang, Zhong

Physical review letters, 2018-09, Vol.121 (13), p.136802-136802, Article 136802 [Periódico revisado por pares]

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Título:
Non-Hermitian Chern Bands
Autor: Yao, Shunyu ; Song, Fei ; Wang, Zhong
Assuntos: Eigenvectors ; Energy spectra ; Insulators ; Lattice vibration ; Phase diagrams ; Skin effect
É parte de: Physical review letters, 2018-09, Vol.121 (13), p.136802-136802, Article 136802
Notas: ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
Descrição: The relation between chiral edge modes and bulk Chern numbers of quantum Hall insulators is a paradigmatic example of bulk-boundary correspondence. We show that the chiral edge modes are not strictly tied to the Chern numbers defined by a non-Hermitian Bloch Hamiltonian. This breakdown of conventional bulk-boundary correspondence stems from the non-Bloch-wave behavior of eigenstates (non-Hermitian skin effect), which generates pronounced deviations of phase diagrams from the Bloch theory. We introduce non-Bloch Chern numbers that faithfully predict the numbers of chiral edge modes. The theory is backed up by the open-boundary energy spectra, dynamics, and phase diagram of representative lattice models. Our results highlight a unique feature of non-Hermitian bands and suggest a non-Bloch framework to characterize their topology.
Editor: United States: American Physical Society
Idioma: Inglês

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