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Topological interpretations of quantum Hall conductance

D. J. Thouless

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Source: Crossref

Published: Oct 1, 1994

DOI: 10.1063/1.530757

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Source abstract

The high precision of the quantum Hall effect is cited as evidence that the Hall conductance is a topological quantum number invariant under reasonably small perturbations. In this article a survey is made of the Hall conductance as a topological quantum number, of relations between the various interpretations of the integer quantum Hall effect, and of their generalization to the fractional quantum Hall effect.

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Topological interpretations of quantum Hall conductance — Mathematical Frontier Network