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Article Dans Une Revue Physical Review B Année : 2022

Positioning of edge states in a quantum Hall graphene p n junction

Résumé

Recent experiments have shown that electronic Mach-Zehnder interferometers of unprecedented fidelities could be built using a graphene pn junction in the quantum Hall regime. In these junctions, two different edge states corresponding to two different valley configurations are spatially separated and form the two arms of the interferometer. The observed separation, of several tens of nanometers, has been found to be abnormally high and thus associated to unrealistic values of the exchange interaction. In this work, we show that, although the separation is due to exchange interaction, its actual value is entirely governed by the sample geometry and independent of the value of the exchange splitting. Our analysis follows the lines of the classical work of Chklovski-Shklovskii-Glazman on electrostatically induced edge state reconstruction and includes quantitative numerical calculations in the experimental geometries.

Dates et versions

hal-03955227 , version 1 (24-01-2023)

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Citer

I. Flór, A. Lacerda-Santos, G. Fleury, P. Roulleau, X. Waintal. Positioning of edge states in a quantum Hall graphene p n junction. Physical Review B, 2022, 105 (24), pp.L241409. ⟨10.1103/PhysRevB.105.L241409⟩. ⟨hal-03955227⟩
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