Semi-classical study of the Quantum Hall conductivity
Mesoscale and Nanoscale Physics
2016-08-31 v1
Abstract
The semi-classical study of the integer Quantum Hall conductivity is investigated for electrons in a bi-periodic potential . The Hall conductivity is due to the tunnelling effect and we concentrate our study to potentials having three wells in a periodic cell. A non-zero topological conductivity requires special conditions for the positions, and shapes of the wells. The results are derived analytically and well confirmed by numerical calculations.
Cite
@article{arxiv.cond-mat/9805086,
title = {Semi-classical study of the Quantum Hall conductivity},
author = {Frederic Faure and Bernard Parisse},
journal= {arXiv preprint arXiv:cond-mat/9805086},
year = {2016}
}
Comments
23 pages, 13 figures