Universality of Quantum Hall Effect: Topological Invariant and Observable
- 15 December 1986
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 57 (24), 3093-3096
- https://doi.org/10.1103/physrevlett.57.3093
Abstract
We show a universality in the quantum Hall effect in that the flux-averaged Hall conductivity in any two- or three-dimensional system with or without disorder is given by a topological invariant quantized in units of at for every energy level in a finite system. Relevance to the observable Hall conductivity over the whole energy spectrum is presented together with numerical results for lattice systems.
Keywords
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