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Heterodyne Hall effect in a two-dimensional electron gas

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Oka,  Takashi
Physics of Quantum Materials, Max Planck Institute for Chemical Physics of Solids, Max Planck Society;

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Bucciantini,  Leda
Physics of Quantum Materials, Max Planck Institute for Chemical Physics of Solids, Max Planck Society;

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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, pp. 1-6. doi:10.1103/PhysRevB.94.155133.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002B-BCA0-5
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.