Observation of novel topological states in hyperbolic lattices

Recent evidence of hyperbolic lattice calls for whether topological states can exist in such non-Euclidean system. Here, the authors evidence firstorder Chern edge states with a nontrivial real-space Chern number and fractal-like midgap higher-order zero modes in hyperbolic circuit networks.

Bibliographic Details
Main Authors: Weixuan Zhang, Hao Yuan, Na Sun, Houjun Sun, Xiangdong Zhang
Format: Article
Language:English
Published: Nature Portfolio 2022-05-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-022-30631-x
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author Weixuan Zhang
Hao Yuan
Na Sun
Houjun Sun
Xiangdong Zhang
author_facet Weixuan Zhang
Hao Yuan
Na Sun
Houjun Sun
Xiangdong Zhang
author_sort Weixuan Zhang
collection DOAJ
description Recent evidence of hyperbolic lattice calls for whether topological states can exist in such non-Euclidean system. Here, the authors evidence firstorder Chern edge states with a nontrivial real-space Chern number and fractal-like midgap higher-order zero modes in hyperbolic circuit networks.
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spelling doaj.art-4d74aea093054248b6029ac66f419d722022-12-22T00:35:10ZengNature PortfolioNature Communications2041-17232022-05-0113111010.1038/s41467-022-30631-xObservation of novel topological states in hyperbolic latticesWeixuan Zhang0Hao Yuan1Na Sun2Houjun Sun3Xiangdong Zhang4Key Laboratory of advanced optoelectronic quantum architecture and measurements of Ministry of Education, Beijing Key Laboratory of Nanophotonics & Ultrafine Optoelectronic Systems, School of Physics, Beijing Institute of TechnologyKey Laboratory of advanced optoelectronic quantum architecture and measurements of Ministry of Education, Beijing Key Laboratory of Nanophotonics & Ultrafine Optoelectronic Systems, School of Physics, Beijing Institute of TechnologyKey Laboratory of advanced optoelectronic quantum architecture and measurements of Ministry of Education, Beijing Key Laboratory of Nanophotonics & Ultrafine Optoelectronic Systems, School of Physics, Beijing Institute of TechnologyBeijing Key Laboratory of Millimeter wave and Terahertz Techniques, School of Information and Electronics, Beijing Institute of TechnologyKey Laboratory of advanced optoelectronic quantum architecture and measurements of Ministry of Education, Beijing Key Laboratory of Nanophotonics & Ultrafine Optoelectronic Systems, School of Physics, Beijing Institute of TechnologyRecent evidence of hyperbolic lattice calls for whether topological states can exist in such non-Euclidean system. Here, the authors evidence firstorder Chern edge states with a nontrivial real-space Chern number and fractal-like midgap higher-order zero modes in hyperbolic circuit networks.https://doi.org/10.1038/s41467-022-30631-x
spellingShingle Weixuan Zhang
Hao Yuan
Na Sun
Houjun Sun
Xiangdong Zhang
Observation of novel topological states in hyperbolic lattices
Nature Communications
title Observation of novel topological states in hyperbolic lattices
title_full Observation of novel topological states in hyperbolic lattices
title_fullStr Observation of novel topological states in hyperbolic lattices
title_full_unstemmed Observation of novel topological states in hyperbolic lattices
title_short Observation of novel topological states in hyperbolic lattices
title_sort observation of novel topological states in hyperbolic lattices
url https://doi.org/10.1038/s41467-022-30631-x
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AT haoyuan observationofnoveltopologicalstatesinhyperboliclattices
AT nasun observationofnoveltopologicalstatesinhyperboliclattices
AT houjunsun observationofnoveltopologicalstatesinhyperboliclattices
AT xiangdongzhang observationofnoveltopologicalstatesinhyperboliclattices