Quantum Hall Valley Splitters and a Tunable Mach-Zehnder Interferometer in Graphene

Jo, Myunglae; Brasseur, Paul; Assouline, Alexandre; Fleury, Geneviève; Sim, Hyun Sub; Watanabe, Kenji; Taniguchi, Takashi; Dumnernpanich, Weerapad; Roche, P.; Glattli, Christian; Kumada, N.; Parmentier, François; Roulleau, Preden

doi:10.1103/physrevlett.126.146803

Cited by 38 publications

(59 citation statements)

References 26 publications

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“…It allows to image and tune antidot-mediated QH effect breakdown, which constitutes a prerequisite toward advanced control and manipulation of QHECs in more complex devices such as QH interferometers. These findings are indeed relevant, for example, in the case of p-n junction-based interferometers where semi-reflecting mirrors are defined at the edges 11 , 14 . Noteworthy, the main outcome of this work, that full control over topological edge states in graphene will only be provided through meticulous engineering of electrostatic landscape at device borders, can also be transposed to other types of 2D crystal-based devices hosting topologically protected edge states.…”

Section: Discussionmentioning

confidence: 75%

“…Graphene, characterized by the massless nature of its charge carriers, offers even more promising perspectives in terms of QHECs manipulation, thanks to its rich spectrum of relativistic quantum Hall phenomena 9 . In that framework, different strategies relying on QHEC propagation along p-n junctions have already been implemented in this material 10 – 14 . However, the confinement of charge carriers at graphene borders appears much more difficult to control than in semiconductor-based 2DESs, seriously impairing the topological protection of its QHECs.…”

Section: Introductionmentioning

confidence: 99%

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Upstream modes and antidots poison graphene quantum Hall effect

et al. 2021

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The quantum Hall effect is the seminal example of topological protection, as charge carriers are transmitted through one-dimensional edge channels where backscattering is prohibited. Graphene has made its marks as an exceptional platform to reveal new facets of this remarkable property. However, in conventional Hall bar geometries, topological protection of graphene edge channels is found regrettably less robust than in high mobility semi-conductors. Here, we explore graphene quantum Hall regime at the local scale, using a scanning gate microscope. We reveal the detrimental influence of antidots along the graphene edges, mediating backscattering towards upstream edge channels, hence triggering topological breakdown. Combined with simulations, our experimental results provide further insights into graphene quantum Hall channels vulnerability. In turn, this may ease future developments towards precise manipulation of topologically protected edge channels hosted in various types of two-dimensional crystals.

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Section: Discussionmentioning

confidence: 75%

Section: Introductionmentioning

confidence: 99%

Upstream modes and antidots poison graphene quantum Hall effect

et al. 2021

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“…Electromagnetic wave can propagate in one-way without scattering in these edge/surface states (Yang et al, 2017;Yves ey al., 2017;Chaunsali et al, 2018;Wu et al, 2018). It is demonstrated that topological photonics can achieve many interesting phenomena, such as quantum Hall effect (Raghu and Haldane, 2008;Wang et al, 2008;Wang et al, 2009;Ye et al, 2019), quantum anomalous Hall effect (Fang and Wang, 2019;Mittal et al, 2019), quantum spin Hall effect (Christiansen et al, 2019;Slobozhanyuk et al, 2019;Sun et al, 2019;Zhirihin et al, 2019), and quantum valley Hall effect (Han et al, 2021;Jo et al, 2021).…”

Section: Introductionmentioning

confidence: 99%

Weyl Point and Nontrivial Surface States in a Helical Topological Material

Liu

et al. 2022

Front. Mater.

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Topological material has been widely studied in recent years because of excellent physical properties. In this paper, a Weyl topological material composed of the double left-handed helixes is presented. It is demonstrated that the proposed structure possesses a two-dimensional complete topological nontrivial bandgap for a fixed kz in the microwave frequency, and the robust surface states are observed. This unique function provides a promising platform for the development of photonics and electromagnetics.

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“…Electrons in a circuit can be manipulated using electronic analogs of various optical components. For example, quantum point contacts [28,29] may function as beam splitters and serve as the elementary building blocks of electronic Hanbury Brown-Twiss experiments [30][31][32][33] or Mach-Zehnder [34][35][36][37][38][39][40][41] and Fabry-Pérot interferometers [42][43][44][45]. Obviously, the differences between electrons and photons have clear implications for such experiments.…”

Section: Introductionmentioning

confidence: 99%

Multi-Particle Interference in an Electronic Mach–Zehnder Interferometer

Kotilahti

Burset

Moskalets

et al. 2021

Entropy

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The development of dynamic single-electron sources has made it possible to observe and manipulate the quantum properties of individual charge carriers in mesoscopic circuits. Here, we investigate multi-particle effects in an electronic Mach–Zehnder interferometer driven by a series of voltage pulses. To this end, we employ a Floquet scattering formalism to evaluate the interference current and the visibility in the outputs of the interferometer. An injected multi-particle state can be described by its first-order correlation function, which we decompose into a sum of elementary correlation functions that each represent a single particle. Each particle in the pulse contributes independently to the interference current, while the visibility (given by the maximal interference current) exhibits a Fraunhofer-like diffraction pattern caused by the multi-particle interference between different particles in the pulse. For a sequence of multi-particle pulses, the visibility resembles the diffraction pattern from a grid, with the role of the grid and the spacing between the slits being played by the pulses and the time delay between them. Our findings may be observed in future experiments by injecting multi-particle pulses into a Mach–Zehnder interferometer.

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Quantum Hall Valley Splitters and a Tunable Mach-Zehnder Interferometer in Graphene

Cited by 38 publications

References 26 publications

Upstream modes and antidots poison graphene quantum Hall effect

Upstream modes and antidots poison graphene quantum Hall effect

Weyl Point and Nontrivial Surface States in a Helical Topological Material

Multi-Particle Interference in an Electronic Mach–Zehnder Interferometer

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