## Spin and Charge Ordering in the Quantum Hall RegimeThe book presents a comprehensive yet concise introduction to the physics of two-dimensional electron systems in the quantum Hall regime, as well as an up-to-date overview of the current fields of research concerning the integer and fractional quantum Hall effect. The physics of two-dimensional electron systems at low temperatures and high magnetic fields are governed by the formation of discrete energy levels referred to as Landau levels. These narrow energy bands not only form the basis of the well-known quantum Hall effect but also promote strong interactions between the electrons, giving rise to some of the finest manifestations of many-body physics in solid state science. Examples include skyrmionic spin textures, ferromagnetic spin transitions, stripe and bubble phases, as well as fractional quantum Hall states with potential non-abelian exchange statistics. The thesis succeeds in profoundly deepening our understanding of these exotic states of matter, with a main focus on the density-modulated phases in the quantum Hall regime. These phases arise from the interplay of competing interactions and are characterized by a self-organized ordering of electrons in spatial patterns. Similar phases of matter are currently being studied in other material systems as well, most notably in high-temperature superconductors. The thesis stands out not only in terms of its contribution to improving readers’ grasp of physics, but also in the diversity and novelty of the measurement techniques employed, which take advantage of the interaction between the electrons and the surrounding crystal lattice. |

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### Contents

1 | |

7 | |

3 ElectronNuclear Spin Interaction in the Quantum Hall Regime | 47 |

4 The Spin Polarization of the 05ex5025ex2 State | 69 |

5 Probing the Microscopic Structure of the Stripe Phase at ν05ex5025ex2 | 81 |

6 Surface Acoustic Wave Study of DensityModulated Phases | 92 |

7 Summary | 111 |

Appendix ASample Parameters | 116 |

Appendix BThe LowTemperature Sample Holder | 119 |

Curriculum Vitae | 126 |

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### Common terms and phrases

2DES anisotropic backgate bubble and stripe bubble phase composite fermions conductivity Coulomb energy current flow D.C. Tsui density distribution density-modulated phases doping electric field electron density electron spin polarization electron wavefunction experimental Fermi energy ferromagnetic filling factor filling factor dependence FQHE FQHS fractional quantum Hall frequency Frieß GaAs H.L. Stormer Hall resistance higher Landau levels incompressible stripe IQHE J.H. Smet K.W. West Klitzing Knight shift L.N. Pfeiffer layer Lett longitudinal resistance magnetic field measured modulation NMR response nuclear magnetic resonance nuclear spin polarization nuclear spin relaxation nuclear spin system nuclei observed particle perpendicular phase shift Phys pinning mode potential probe quantized quantum Hall effect quantum Hall regime quasiparticles reentrant SAW propagation second Landau level skyrmions spatial spin physics spin relaxation rate spin transition stripe period stripe phase surface acoustic waves temperature thesis two-dimensional electron system Umansky unpolarized wavefunction Zeeman energy Zeeman splitting