Anti-Levitation in the Integer Quantum Hall Systems
Abstract
Two-dimensional electron gas in the integer quantum Hall regime is investigated numerically by studying the dynamics of an electron hopping on a square lattice subject to a perpendicular magnetic field and random on-site energy with white noise distribution. Focusing on the lowest Landau band we establish an anti-levitation scenario of the extended states: As either the disorder strength increases or the magnetic field strength decreases, the energies of the extended states move below the Landau energies pertaining to a clean system. Moreover, for strong enough disorder, there is a disorder dependent critical magnetic field below which there are no extended states at all. A general phase diagram in the plane is suggested with a line separating domains of localized and delocalized states.
Cite
@article{arxiv.1307.7532,
title = {Anti-Levitation in the Integer Quantum Hall Systems},
author = {C. Wang and Y. Avishai and Y. Meir and X. R. Wang},
journal= {arXiv preprint arXiv:1307.7532},
year = {2014}
}
Comments
8 pages, 9 figures