The Quantum Hall Effect: Novel Excitations and Broken Symmetries

Abstract

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.

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

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