The Quantum Hall Effect: Novel Excitations and Broken Symmetries

Details The Quantum Hall Effect: Novel Excitations and Broken Symmetries The Quantum Hall Effect: Novel Excitations and Broken Symmetries

1999-07-01

arxiv.org/abs/cond-mat/9907002v1

Topological Aspects of Low Dimensional Systems, ed. A. Comtet, T. Jolicoeur, S. Ouvry, F. David (Springer-Verlag, Berlin and L

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

124 pages. Lectures delivered at Ecole d'Ete Les Houches, July 1998

Scientific paper

These pedagogical lecture notes present a general introduction to most aspects of the integer and fractional quantum Hall effects. This is followed by an extensive discussion of quantum Hall ferromagnetism, both for spins in single-layer systems and `pseudospins' in double-layer systems. The effective field theories describing various broken symmetry states and `skyrmion' and `meron' spin textures are derived and discussed in some detail. Pedagogical presentations on Berry phases and lowest Landau level projection are included in appendices.

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