Semi-classical study of the Quantum Hall conductivity

Frederic Faure; Bernard Parisse

doi:10.1063/1.533122

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Semi-classical study of the Quantum Hall conductivity

Frederic Faure·Bernard Parisse

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Abstract

The semi-classical study of the integer Quantum Hall conductivity is investigated for electrons in a bi-periodic potential $V(x,y)$. 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.

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Frederic Faure, Bernard Parisse. 1998-05-07. Semi-classical study of the Quantum Hall conductivity. https://doi.org/10.1063/1.533122

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