Semi-classical study of the Quantum Hall conductivity
arXiv:cond-mat/9805086 · doi:10.1063/1.533122
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.
23 pages, 13 figures