Möbius edge band and Weyl-like semimetal flat-band in topological photonic waveguide array by synthetic gauge flux

The presence of π gauge flux enabled by positive and negative hopping amplitude can lead to Möbius bands, which was recently demonstrated in both realistic acoustic and photonic lattices, twisted at k = π. Here, we show that the artificial gauge flux configuration can be achieved by exploiting the i...

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Main Authors: Liu Zhenzhen, Wei Guochao, Wu Huizhou, Xiao Jun-Jun
Format: Article
Language:English
Published: De Gruyter 2023-07-01
Series:Nanophotonics
Subjects:
Online Access:https://doi.org/10.1515/nanoph-2023-0311
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author Liu Zhenzhen
Wei Guochao
Wu Huizhou
Xiao Jun-Jun
author_facet Liu Zhenzhen
Wei Guochao
Wu Huizhou
Xiao Jun-Jun
author_sort Liu Zhenzhen
collection DOAJ
description The presence of π gauge flux enabled by positive and negative hopping amplitude can lead to Möbius bands, which was recently demonstrated in both realistic acoustic and photonic lattices, twisted at k = π. Here, we show that the artificial gauge flux configuration can be achieved by exploiting the interactions between photonic s and p orbital-like fundamental modes in circular and peanut-shaped waveguides, respectively. By manipulating the interplay between the gauge fields and the crystal symmetry, we show that breaking the primitive translation symmetry through lattice site dimerization and deformation can cause the original Dirac semimetal phase, characterized by a four-fold Dirac point at the Brillouin zone center, to transform into various topological phases. The designed photonic waveguide array supports topological phases such as Möbius insulator and Weyl-like semimetal phases. Noticeably different to the existing cases, we explicitly show that the twisting Möbius bands cross each other at k = 0 due to the lattice gauging with alternating sign, which results in distinct beam dynamics excitation. We also present Weyl-like flat-band edge states in such photonics waveguide arrays. Our results suggest that such s − p hybridized photonic waveguide array servers as a convenient and flexible platform for studying topological physics, particularly in simulating the effects of gauge field in alternative configuration.
format Article
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institution OA Journals
issn 2192-8614
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publishDate 2023-07-01
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spelling doaj-art-36484c0c3748404389d9c402a8ade2c72025-08-20T01:53:26ZengDe GruyterNanophotonics2192-86142023-07-0112173481349010.1515/nanoph-2023-0311Möbius edge band and Weyl-like semimetal flat-band in topological photonic waveguide array by synthetic gauge fluxLiu Zhenzhen0Wei Guochao1Wu Huizhou2Xiao Jun-Jun3College of Electronic and Information Engineering, Harbin Institute of Technology (Shenzhen), Shenzhen518055, ChinaCollege of Electronic and Information Engineering, Harbin Institute of Technology (Shenzhen), Shenzhen518055, ChinaCollege of Electronic and Information Engineering, Harbin Institute of Technology (Shenzhen), Shenzhen518055, ChinaCollege of Electronic and Information Engineering, Harbin Institute of Technology (Shenzhen), Shenzhen518055, ChinaThe presence of π gauge flux enabled by positive and negative hopping amplitude can lead to Möbius bands, which was recently demonstrated in both realistic acoustic and photonic lattices, twisted at k = π. Here, we show that the artificial gauge flux configuration can be achieved by exploiting the interactions between photonic s and p orbital-like fundamental modes in circular and peanut-shaped waveguides, respectively. By manipulating the interplay between the gauge fields and the crystal symmetry, we show that breaking the primitive translation symmetry through lattice site dimerization and deformation can cause the original Dirac semimetal phase, characterized by a four-fold Dirac point at the Brillouin zone center, to transform into various topological phases. The designed photonic waveguide array supports topological phases such as Möbius insulator and Weyl-like semimetal phases. Noticeably different to the existing cases, we explicitly show that the twisting Möbius bands cross each other at k = 0 due to the lattice gauging with alternating sign, which results in distinct beam dynamics excitation. We also present Weyl-like flat-band edge states in such photonics waveguide arrays. Our results suggest that such s − p hybridized photonic waveguide array servers as a convenient and flexible platform for studying topological physics, particularly in simulating the effects of gauge field in alternative configuration.https://doi.org/10.1515/nanoph-2023-0311artificial gauge fieldbeam dynamicsmöbius insulatorphotonic waveguideweyl semimetal
spellingShingle Liu Zhenzhen
Wei Guochao
Wu Huizhou
Xiao Jun-Jun
Möbius edge band and Weyl-like semimetal flat-band in topological photonic waveguide array by synthetic gauge flux
Nanophotonics
artificial gauge field
beam dynamics
möbius insulator
photonic waveguide
weyl semimetal
title Möbius edge band and Weyl-like semimetal flat-band in topological photonic waveguide array by synthetic gauge flux
title_full Möbius edge band and Weyl-like semimetal flat-band in topological photonic waveguide array by synthetic gauge flux
title_fullStr Möbius edge band and Weyl-like semimetal flat-band in topological photonic waveguide array by synthetic gauge flux
title_full_unstemmed Möbius edge band and Weyl-like semimetal flat-band in topological photonic waveguide array by synthetic gauge flux
title_short Möbius edge band and Weyl-like semimetal flat-band in topological photonic waveguide array by synthetic gauge flux
title_sort mobius edge band and weyl like semimetal flat band in topological photonic waveguide array by synthetic gauge flux
topic artificial gauge field
beam dynamics
möbius insulator
photonic waveguide
weyl semimetal
url https://doi.org/10.1515/nanoph-2023-0311
work_keys_str_mv AT liuzhenzhen mobiusedgebandandweyllikesemimetalflatbandintopologicalphotonicwaveguidearraybysyntheticgaugeflux
AT weiguochao mobiusedgebandandweyllikesemimetalflatbandintopologicalphotonicwaveguidearraybysyntheticgaugeflux
AT wuhuizhou mobiusedgebandandweyllikesemimetalflatbandintopologicalphotonicwaveguidearraybysyntheticgaugeflux
AT xiaojunjun mobiusedgebandandweyllikesemimetalflatbandintopologicalphotonicwaveguidearraybysyntheticgaugeflux