Field theory of anyons and the fractional quantum Hall effect
- 15 September 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 46 (12), 7765-7781
- https://doi.org/10.1103/physrevb.46.7765
Abstract
We present a microscopic theory of the fractional quantum Hall effect and its hierarchy structure on the basis of a Chern-Simons gauge theory. It is shown field theoretically that the system of the planar electrons in a strong magnetic field yields a hierarchy of the fractional quantum Hall states, which are a condensed phase of the bosonized electrons and vortices. It is discussed in detail how the Coulomb interaction between electrons plays a crucial role in this phenomenon.Keywords
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