Is Hall Conductance in Hall Bar Geometry a Topological Invariant?
Condensed Matter
2007-05-23 v1
Abstract
A deep connection between the Hall conductance in realistic situation and a topological invariant is pointed out based on von-Neumann lattice representation in which Landau level electrons have minimum spatial extensions. We show that the Hall conductance has no finite size correction in quantum Hall regime, but a coefficient of induced Chern-Simons term in QED has a small finite size correction, although both of them are similar topological invariant.
Keywords
Cite
@article{arxiv.cond-mat/9409109,
title = {Is Hall Conductance in Hall Bar Geometry a Topological Invariant?},
author = {K. Ishikawa and N. Maeda and K. Tadaki},
journal= {arXiv preprint arXiv:cond-mat/9409109},
year = {2007}
}
Comments
13 pages, 2 figures uuencoded, phyzzx, EPHOU-94-005