Charge Density Wave Behaviour of the Integer Quantum Hall Effect Edge States
Condensed Matter
2009-10-28 v1
Abstract
We analyze the effect that the Coulomb interaction has on the edge excitations of an electron gas confined in a bar of thickness , and in presence of a magnetic field corresponding to filling factor 1 Quantum Hall effect. We find that the long-range interaction between the edges leads the system to a ground state with a quasi-long range order, similar to a Charge Density Wave. The spectral density of states vanishes at zero frequency, and increases with frequency faster than any power law, being the conductance of a infinite long system zero.
Cite
@article{arxiv.cond-mat/9507063,
title = {Charge Density Wave Behaviour of the Integer Quantum Hall Effect Edge States},
author = {M. Franco and L. Brey},
journal= {arXiv preprint arXiv:cond-mat/9507063},
year = {2009}
}
Comments
10 pages, latex, 3 figures available by FAX upon request from brey@marlene.fmc.uam.es