Experimental demonstration of angular momentum-dependent topological transport using a transmission line network

Jiang, Tianshu; Xiao, Meng; Chen, Wenjie; Yang, Lechen; Fang, Yawen; Tam, Wing Yim; Chan, Che Ting

doi:10.1038/s41467-018-08281-9

Cited by 17 publications

(13 citation statements)

References 42 publications

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“…To realize and characterize charges , we designed a transmission line network 22 , 27 , 28 (see the sample photo in Supplementary Fig. 13 ) consisting of 11 unit cells.…”

Section: Resultsmentioning

confidence: 99%

Four-band non-Abelian topological insulator and its experimental realization

et al. 2021

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Very recently, increasing attention has been focused on non-Abelian topological charges, e.g., the quaternion group Q8. Different from Abelian topological band insulators, these systems involve multiple entangled bulk bandgaps and support nontrivial edge states that manifest the non-Abelian topological features. Furthermore, a system with an even or odd number of bands will exhibit a significant difference in non-Abelian topological classification. To date, there has been scant research investigating even-band non-Abelian topological insulators. Here, we both theoretically explore and experimentally realize a four-band PT (inversion and time-reversal) symmetric system, where two new classes of topological charges as well as edge states are comprehensively studied. We illustrate their difference in the four-dimensional (4D) rotation sense on the stereographically projected Clifford tori. We show the evolution of the bulk topology by extending the 1D Hamiltonian onto a 2D plane and provide the accompanying edge state distributions following an analytical method. Our work presents an exhaustive study of four-band non-Abelian topological insulators and paves the way towards other even-band systems.

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“…To realize and characterize charges , we designed a transmission line network 22 , 27 , 28 (see the sample photo in Supplementary Fig. 13 ) consisting of 11 unit cells.…”

Section: Resultsmentioning

confidence: 99%

Four-band non-Abelian topological insulator and its experimental realization

et al. 2021

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“…Until recently, routing light around sharp corners in microscopic spaces was generally believed to be impossible. This has changed with the advent of PTIs [13][14][15][16][17][18][19][20][21][22][23][24] , which, like their electronic counterparts 25 , enable backscattering-immune edge modes along almost arbitrarily shaped interfaces. Among the three basic topological phases -quantum Hall 26 , quantum spin-Hall 27, 28 , and quantum valley-Hall 29,30 topological insulators-the latter, which relies on the valley degree of freedom (DOF) 1 in crystals is arguably the easiest to implement in bosonic systems 2,[5][6][7][8][9][10][11][31][32][33] and is of the most interest to the development of on-chip optical devices, motivating of this work.…”

Section: Mainmentioning

confidence: 99%

Robust valley polarized states beyond topology

Bisharat¹,

Df²

2021

Preprint

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Valley-contrast physics has gained considerable attention, particularly for realizing photonic topological insulators (PTIs) that support reflection-free valley-polarized edge modes (VPEMs) in the absence of inter-valley scattering. It is an open question whether similar robust states can exist in the absence of topological order. We propose a new approach to VPEMs based on a line defect in a topologically-trivial, C6υ-symmetric photonic crystal (PhC). The VPEMs result from opposing orbital angular momenta (OAM) due to a local valley Hall effect (LVHE), where the valley polarization is locally defined as opposed to being fixed throughout the bulk of the PhC. We fabricate our device on a silicon-on-insulator (SOI) slab and characterize it at near-infrared frequencies showing robust transmission through sharp bends. Our results present a new perspective to the existence of gapless chiral edge (kink) states and outlines a new waveguiding mechanism applicable to the electromagnetic spectrum as well as other wave systems including plasmonics, mechanics and acoustics.

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“…In order to realize and characterize charges ± 1234 , we designed a transmission line network 22,27,28 (see the sample photo in Supplementary Figure 13) consisting of 11 unit-cells.…”

Section: Observation Of Charges ± In a Transmission Line Networkmentioning

confidence: 99%

Four-band non-Abelian topological insulator and its experimental realization

Jiang

Guo

Zhang

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

Very recently, increasing attention has been focused on non-Abelian topological charges, e.g. the quaternion group Q8. Different from Abelian topological band insulators, these systems involve multiple tangled bulk bandgaps and support non-trivial edge states that manifest the non-Abelian topological features. Furthermore, a system with even or odd number of bands will exhibit significant difference in non-Abelian topological classifications. Up to now, there is scant research investigating the even-band non-Abelian topological insulators. Here, we both theoretically explored and experimentally realized a four-band PT (inversion and time-reversal) symmetric system, where two new classes of topological charges as well as edge states are comprehensively studied. We illustrate their difference from four-dimensional rotation senses on the stereographically projected Clifford tori. We show the evolution of bulk topology by extending the 1D Hamiltonian onto a 2D plane and provide the accompanying edge state distributions following an analytical method. Our work presents an exhaustive study of four-band non-Abelian topological insulators and paves the way to other even band systems.

show abstract

Experimental demonstration of angular momentum-dependent topological transport using a transmission line network

Cited by 17 publications

References 42 publications

Four-band non-Abelian topological insulator and its experimental realization

Four-band non-Abelian topological insulator and its experimental realization

Robust valley polarized states beyond topology

Four-band non-Abelian topological insulator and its experimental realization

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