Electron drift orbits in crossed electromagnetic fields and the quantum Hall effect
| dc.creator | Kramer, Tobias | |
| dc.date | 2005-12-28 | |
| dc.date.accessioned | 2026-07-07T06:53:44Z | |
| dc.date.available | 2026-07-07T06:53:44Z | |
| dc.description | The classical drift motion of electrons in crossed electric and magnetic fields provides an interesting example of a system with an on average constant velocity -- despite the presence of an electric field. This drift-velocity depends solely on the ratio of the electric and magnetic fields and not on the initial momentum of the electron. The present work describes the quantum-mechanical version of this drift-motion, which differs drastically from the classical result: The drift becomes dependent on the energy and a quantization of the transport occurs. The results bear implications for the theory of the quantum Hall effect: Current theories neglect the electric Hall-field (which is perpendicular to a magnetic field) and thus do not include the quantization due to the crossed-field geometry. I will discuss why it is not possible to eliminate the electric field and how one can explain the quantization in crossed fields in a semiclassical picture. These results make it possible to construct an alternative theory of the quantum Hall effect. | |
| dc.description | 9 pages, 2 figures Slightly updated version, of the book version | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0512690 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0512690 | |
| dc.identifier | Group theoretical methods in physics. Institute of Physics Conference Series Number 185. Cocoyoc, Mexico, 2004, pp. 353-358, Edited by G.S. Pogosyan, L.E. Vicent and K.B. Wolf | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/105692 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Electron drift orbits in crossed electromagnetic fields and the quantum Hall effect | |
| dc.type | text |