Quantized Hall conductance and edge states: Two-dimensional strips with a periodic potential
- 15 April 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 27 (8) , 5142-5145
- https://doi.org/10.1103/physrevb.27.5142
Abstract
We have investigated the energy levels of an electron in a periodic potential and a magnetic field, confined to a two-dimensional strip of infinite length but finite width, for two sets of boundary conditions. The bulk formula giving the quantized Hall conductance is explained in terms of a special gauge-invariance property of the edge states. This Communication clarifies the role of the geometry in the derivations of the quantized Hall effect.Keywords
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