Heterodyne Hall effect in a two-dimensional electron gas

Oka, Takashi; Bucciantini, Leda

doi:10.1103/PhysRevB.94.155133

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Heterodyne Hall effect in a two-dimensional electron gas

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Oka, Takashi
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Bucciantini, Leda
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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https://arxiv.org/pdf/1607.01041.pdf
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Citation

Oka, T., & Bucciantini, L. (2016). Heterodyne Hall effect in a two-dimensional electron gas. Physical Review B, 94(15): 155133. doi:10.1103/PhysRevB.94.155133.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-BE4D-4

Abstract

We study the hitherto unaddressed phenomenon of the quantum Hall effect with a magnetic and electric field oscillating in time with resonant frequencies. This phenomenon highlights an example of a heterodyne device with the magnetic field acting as a driving force, and it is analyzed in detail in its classical and quantum versions using Floquet theory. A bulk current flowing perpendicularly to the applied electric field is found, with a frequency shifted by integer multiples of the driving frequency. When the ratio of the cyclotron and driving frequency takes special values, the electron's classical trajectory forms a loop and the effective mass diverges, while in the quantum case we find an analog of the Landau quantization. A possible realization using metamaterial plasmonics is discussed.