The quantum Hall effect

1.1 Introduction......Page 3
1.3 Constructing the 2DEG......Page 5
1.4 Why is disorder and localization important?......Page 6
1.5 Classical dynamics......Page 9
1.6 Semi-classical approximation......Page 12
1.7 Quantum Dynamics in Strong B Fields......Page 13
1.8 IQHE edge states......Page 20
1.9 Semiclassical percolation picture......Page 24
1.10 Fractional QHE......Page 28
1.11 The $\nu = 1$ many-body state......Page 33
1.12 Neutral collective excitations......Page 42
1.13 Charged excitations......Page 52
1.14 FQHE edge states......Page 61
1.15 Quantum hall ferromagnets......Page 64
1.16 Coulomb exchange......Page 66
1.17 Spin wave excitations......Page 67
1.18 Effective action......Page 72
1.19 Topological excitations......Page 77
1.20 Skyrmion dynamics......Page 89
1.21 Skyrme lattices......Page 95
1.22 Double-layer quantum hall ferromagnets......Page 100
1.23 Pseudospin analogy......Page 102
1.24 Experimental background......Page 104
1.25 Interlayer phase coherence......Page 108
1.26 Interlayer tunneling and tilted field effects......Page 110
A Lowest Landau level projection......Page 113
B Berry’s phase and adiabatic transport......Page 116
References......Page 120