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Chern-Simons Theory for Quantum Hall Stripes

Bernd Rosenow·Stefan Scheidl
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Abstract

We develop a Chern-Simons theory to describe a two-dimensional electron gas in intermediate magnetic fields. Within this approach, inhomogeneous states emerge in analogy to the intermediate state of a superconductor. At half filling of the highest Landau level we find unidirectional charge-density-wave (CDW) solutions. With a semiclassical calculation we give an intuitive explanation of the change of CDW orientation in the presence of an in-plane magnetic field. An anisotropy in the electron band mass is suggested as a possible source of the reproducible orientation of the CDW.

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Bernd Rosenow, Stefan Scheidl. 2001-02-12. Chern-Simons Theory for Quantum Hall Stripes. https://doi.org/10.1142/s0217979201004988

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