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Article Dans Une Revue Journal of Mathematical Physics Année : 2000

Semi-classical study of the Quantum Hall conductivity

Frederic Faure
Bernard Parisse

Résumé

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.

Dates et versions

hal-00383060 , version 1 (11-05-2009)

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Citer

Frederic Faure, Bernard Parisse. Semi-classical study of the Quantum Hall conductivity. Journal of Mathematical Physics, 2000, pp.62-75. ⟨hal-00383060⟩

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