English

Chern-Simons Theory for Quantum Hall Stripes

Mesoscale and Nanoscale Physics 2009-10-31 v2

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.

Keywords

Cite

@article{arxiv.cond-mat/0003194,
  title  = {Chern-Simons Theory for Quantum Hall Stripes},
  author = {Bernd Rosenow and Stefan Scheidl},
  journal= {arXiv preprint arXiv:cond-mat/0003194},
  year   = {2009}
}

Comments

7 pages, 4 figures, uses EuroPhys.sty and EuroMacro.tex (included), improved calculation of anisotropic pinning

R2 v1 2026-07-22T10:01:08.427Z