Course 2: The Quantum Hall Effect: Novel Excitations and Broken Symmetries
Abstract
Contents 1 The quantum Hall effect 1.1 Introduction 1.2 Why 2D is important 1.3 Constructing the 2DEG 1.4 Why is disorder and localization important? 1.5 Classical dynamics 1.6 Semi-classical approximation 1.7 Quantum Dynamics in Strong B Fields 1.8 IQHE edge states 1.9 Semiclassical percolation picture 1.10 Fractional QHE 1.11 The ν = 1 many-body state 1.12 Neural collective excitations 1.13 Charged excitations 1.14 FQHE edge states 1.15 Quantum Hall ferromagnets 1.16 Coulomb exchange 1.17 Spin wave excitations 1.18 Effective action 1.19 Topological excitations 1.20 Skyrmion dynamics 1.21 Skyrme lattices 1.22 Double-layer quantum Hall ferromagnets 1.23 Pseudospin analogy 1.24 Experimental background 1.25 Interlayer phase coherence 1.26 Interlayer tunneling and tilted field effects Appendix A Lowest Landau level projection Appendix B Berry's phase and adiabatic transport
- Publication:
-
Topological Aspects of Low Dimensional Systems
- Pub Date:
- 1999
- DOI:
- 10.48550/arXiv.cond-mat/9907002
- arXiv:
- arXiv:cond-mat/9907002
- Bibcode:
- 1999tald.conf...53G
- Keywords:
-
- Condensed Matter - Mesoscopic Systems and Quantum Hall Effect
- E-Print:
- 124 pages. Lectures delivered at Ecole d'Ete Les Houches, July 1998