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On the quantum Hall effect |
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| Authors: | J. E. Avron |
| Affiliation: | Technion-Israel Institute of Technology Departement of Physics, Haifa, Israel Technische Universität Berlin Fachbereich Mathematik MA 7 - 2 Strasse des 17. Juni 136 D-1000, Berlin, Germany |
| Abstract: | We consider a particle in a 2 dimensional plane in a periodic potential and a homogeneous magnetic field perpendicular to the plane. Kubo's expression for conductivity of the Hall current is an integer. This result of Thouless, Kohomoto, Nightingale and den Nijs is interpreted geometrically. |
| Keywords: | Schrödinger operator Geometry of Hilbert spaces Connections |
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