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arXiv · 0903.3784

The hierarchical spectral flow of Bloch electron

Toshifumi Itakura
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Abstract

The Hall conductance of a two-dimensional electron gas has been studied in a uniform magnetic field. The Hall conductivity is expressed as a sum of two contributions: one corresponding to the classical Drude-Zener formula, and a second which has no classical analogy. The developed theory is applied to the Hall effect. The Kobo formula is written in a form that makes apparent the quantization when the Fermi energy lies in a gap. We examine the hierarchical spectral flow of Hall conductivity.

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Toshifumi Itakura. 2009-03-23. The hierarchical spectral flow of Bloch electron. https://arxiv.org/abs/0903.3784

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