Chern dartboard insulator: sub-Brillouin zone topology and skyrmion multipoles

Abstract Topology plays a crucial role in many physical systems, leading to interesting states at the surface. A paradigmatic example is the Chern number defined in the Brillouin zone that leads to robust gapless edge states. Here we introduce the reduced Chern number, defined in the subregions of B...

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Main Authors: Yun-Chung Chen, Yu-Ping Lin, Ying-Jer Kao
Format: Article
Language:English
Published: Nature Portfolio 2024-01-01
Series:Communications Physics
Online Access:https://doi.org/10.1038/s42005-023-01502-8
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author Yun-Chung Chen
Yu-Ping Lin
Ying-Jer Kao
author_facet Yun-Chung Chen
Yu-Ping Lin
Ying-Jer Kao
author_sort Yun-Chung Chen
collection DOAJ
description Abstract Topology plays a crucial role in many physical systems, leading to interesting states at the surface. A paradigmatic example is the Chern number defined in the Brillouin zone that leads to robust gapless edge states. Here we introduce the reduced Chern number, defined in the subregions of Brillouin zone, and construct a family of Chern dartboard insulators with quantized reduced Chern numbers but with trivial bulk topology. Chern dartboard insulators are protected by the mirror symmetries and exhibit distinct pseudospin textures, including (anti)skyrmions, inside the sub-Brillouin zone. These Chern dartboard insulators host exotic gapless edge states, such as Möbius fermions and midgap corner states, and can be realized in the photonic crystals. Our work opens up new possibilities for exploring sub-Brillouin zone topology and nontrivial surface responses in topological systems.
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spelling doaj.art-4b1da38f99014c269d9a3221f63318ef2024-01-21T12:24:16ZengNature PortfolioCommunications Physics2399-36502024-01-01711810.1038/s42005-023-01502-8Chern dartboard insulator: sub-Brillouin zone topology and skyrmion multipolesYun-Chung Chen0Yu-Ping Lin1Ying-Jer Kao2Department of Physics and Center for Theoretical Physics, National Taiwan UniversityDepartment of Physics, University of CaliforniaDepartment of Physics and Center for Theoretical Physics, National Taiwan UniversityAbstract Topology plays a crucial role in many physical systems, leading to interesting states at the surface. A paradigmatic example is the Chern number defined in the Brillouin zone that leads to robust gapless edge states. Here we introduce the reduced Chern number, defined in the subregions of Brillouin zone, and construct a family of Chern dartboard insulators with quantized reduced Chern numbers but with trivial bulk topology. Chern dartboard insulators are protected by the mirror symmetries and exhibit distinct pseudospin textures, including (anti)skyrmions, inside the sub-Brillouin zone. These Chern dartboard insulators host exotic gapless edge states, such as Möbius fermions and midgap corner states, and can be realized in the photonic crystals. Our work opens up new possibilities for exploring sub-Brillouin zone topology and nontrivial surface responses in topological systems.https://doi.org/10.1038/s42005-023-01502-8
spellingShingle Yun-Chung Chen
Yu-Ping Lin
Ying-Jer Kao
Chern dartboard insulator: sub-Brillouin zone topology and skyrmion multipoles
Communications Physics
title Chern dartboard insulator: sub-Brillouin zone topology and skyrmion multipoles
title_full Chern dartboard insulator: sub-Brillouin zone topology and skyrmion multipoles
title_fullStr Chern dartboard insulator: sub-Brillouin zone topology and skyrmion multipoles
title_full_unstemmed Chern dartboard insulator: sub-Brillouin zone topology and skyrmion multipoles
title_short Chern dartboard insulator: sub-Brillouin zone topology and skyrmion multipoles
title_sort chern dartboard insulator sub brillouin zone topology and skyrmion multipoles
url https://doi.org/10.1038/s42005-023-01502-8
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