Abstract
A two-dimensional electron system showing the quantum Hall effect when exposed to a strong magnetic field, the quantum Hall liquid, is a new type of quantum liquid. It has the astonishing property that the elementary excitations obey fractional statistics and that the charge is a fraction of e. In this chapter the quantum field theory of this quantum liquid is discussed, based on the statistical transmutation using the Chern-Simons gauge field.
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References
R.F. Prange and S.M. Girvin (eds.): The Quantum Hall Effect (Springer-Verlag, 1987)
R.B. Laughlin: Phys. Rev. Lett. 50 (1983) 1395
S.C. Zhang: Int. J. Mod. Phys. B6 (1992) 25
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© 1999 Springer-Verlag Berlin Heidelberg
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Nagaosa, N. (1999). Quantum Hall Liquid and the Chern-Simons Gauge Field. In: Quantum Field Theory in Condensed Matter Physics. Texts and Monographs in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03774-4_6
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DOI: https://doi.org/10.1007/978-3-662-03774-4_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08485-0
Online ISBN: 978-3-662-03774-4
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