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19 April 2024 |
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The Quantum Hall Effect: Novel Excitations and Broken Symmetries | Steven M. Girvin
; | Date: |
1 Jul 1999 | Journal: | Topological Aspects of Low Dimensional Systems, ed. A. Comtet, T. Jolicoeur, S. Ouvry, F. David (Springer-Verlag, Berlin and Les Editions de Physique, Les Ulis, 2000) | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall | Affiliation: | Indiana University | 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. | Source: | arXiv, cond-mat/9907002 | Services: | Forum | Review | PDF | Favorites |
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