arXiv Analytics

Sign in

arXiv:1607.01041 [cond-mat.mes-hall]AbstractReferencesReviewsResources

Heterodyne Hall Effect in a Two Dimensional Electron Gas

Takashi Oka, Leda Bucciantini

Published 2016-07-04Version 1

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.

Related articles: Most relevant | Search more
arXiv:cond-mat/0512690 (Published 2005-12-28)
Electron drift orbits in crossed electromagnetic fields and the quantum Hall effect
arXiv:2007.03111 [cond-mat.mes-hall] (Published 2020-07-06)
Two dimensional electron gas in a non-Euclidean space
arXiv:cond-mat/0502005 (Published 2005-01-31)
Spin Polarization and Dichroism Effects by Electric Field