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The graphene Mach-Zehnder interferometer in the fractional quantum Hall regime

Contact: ROULLEAU Preden, , preden.roulleau@cea.fr, +33 1 69 08 73 11
Summary:
Realization of the first Mach Zehnder interferometer in the fractional quantum Hall effect regime, to study the anyonic statistics of fractional quasiparticles.
Possibility of continuation in PhD: Oui
Deadline for application:30/04/2022

Full description:
The field of electron quantum optics relies on the analogy between the propagation of electrons in a quantum conductor and that of photons in quantum optics experiments. This research field emerged in the late nineties with the possibility of manipulating electron beams in condensed matter systems while preserving their wave-particle nature. It has proven since then to grant a fundamental understanding of quantum electronics down to the single-particle excitation. The prototypical systems of electron quantum optics are two-dimensional conductors in the quantum Hall effect regime. This regime is reached under strong perpendicular magnetic field and is characterized by the existence of one-dimensional, chiral and dissipationless electronic channels propagating along the edges of the sample. Those (quantum Hall) edge channels can be directly viewed as the analog of optical fibers for electrons. While a large majority of these experiments have been performed in semiconductor heterostructures such as GaAs/GaAlAs, graphene has recently become the subject of intense attention. Indeed, not only does graphene present a rich, new physics in the quantum Hall regime, but it is also thought to offer vastly superior coherence properties, allowing to envision more complex experiments that could lead to the development of quantum information processing schemes based on the control of the quantum trajectories of single charges in a circuit.

Our team recently succeeded to develop the first tunable Mach-Zehnder interferometer in graphene [1,2]. It enabled us to study graphene coherence properties [3] but also to detect magnons [4]. In this internship, we propose to realize the first Mach Zehnder interferometer in the fractional quantum Hall effect, to study the anyonic statistics of fractional quasiparticles.

[1] Quantum Hall valley splitters and a tunable Mach-Zehnder interferometer in graphene, M. Jo, P. Brasseur, A. Assouline, G. Fleury, H. -S. Sim, K. Watanabe, T. Taniguchi, W. Dumnernpanich, P. Roche, D. C. Glattli, N. Kumada, F. D. Parmentier, and P. Roulleau, Phys. Rev. Lett. 126, 146803 (2021) – Editor’s suggestion – Featured in Physics.
[2] Physics / Optics bench on a graphene flake
[3] Scaling behavior of electron decoherence in a graphene Mach-Zehnder interferometer, M. Jo, June-Young M. Lee , A. Assouline, P. Brasseur, K. Watanabe, T. Taniguchi, P. Roche, D.C. Glattli, N. Kumada, F.D. Parmentier, H.-S. Sim and, P. Roulleau, submitted (2021).
[4] Excitonic nature of magnons in a quantum Hall ferromagnet, A. Assouline, M. Jo, P. Brasseur, K. Watanabe, T. Taniguchi, T.Jolicoeur, D.C. Glattli, N. Kumada, P. Roche, F. D. Parmentier, & P. Roulleau
Accepted at Nature Physics (2021) - arXiv:2102.02068.
Technics/methods used during the internship:
High magnetic field (14 T), low temperature (10 mK), graphene.

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