Heterodyne Hall Effect in a Two Dimensional Electron Gas

Abstract

We study the hitherto un-addressed phenomenon of Quantum Hall Effect with a magnetic and electric fields oscillating in time with resonant frequencies. This phenomenon realizes an example of heterodyne device with the magnetic field acting as a driving and 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 analogue of the Landau quantization. Possible realization using metamaterial plasmonics is discussed.

arXiv comment6 pages, 5 figures; matches with published version

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• Linear Response Theory and Optical Conductivity of Floquet Topological Insulators
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• Time-resolved Hall conductivity of pulse-driven topological quantum systems
• Holographic Floquet states in low dimensions (I)
• Optical Conductivity Signatures of Floquet Electronic Phases
• Dirac Electrons in AC-Magnetic Fields: $\pi$-Landau Levels and Chiral Anomaly-Induced Homodyne Effect