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.
Cite
@article{arxiv.1607.01041,
title = {Heterodyne Hall Effect in a Two Dimensional Electron Gas},
author = {Takashi Oka and Leda Bucciantini},
journal= {arXiv preprint arXiv:1607.01041},
year = {2016}
}
Comments
6 pages, 5 figures; matches with published version