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The Integer and the Fractional Quantum Hall Effect.- The Quantum Hall Effect.- Theory of the Integer Quantum Hall Effect - an Introductory Survey.- 1. Klaus von Klitzing's discovery.- 2. The Hall effect.- 3. Quantum mechanics of an electron in a magnetic field.- 4. Different ways of calculating the Hall conductivity.- 5. Disordered systems.- 6. High field limit.- 7. The gauge argument.- 8. Topological approach.- 9. Scattering theoretical approach.- 10. Field theoretical approach.- 11. Conclusions.- References.- Experimental Aspects of the Fractional Quantum Hall Effect.- 1. Introduction.- 2. Theoretical background.- 3. Experimental configurations.- 4. Experimental results.- 5. Other experiments and conclusions.- Acknowledgments.- References.- Interactions in 2D Electron Systems.- 1. Some qualitative aspects of itinerant 2D systems.- 2. Excitations in the Fractional Quantum Hall Effect -magneto-rotons.- 3. Transport and impurity effects in the magneto-roton picture.- References.- Electron-Phonon Interaction.- Electron-Phonon Interaction in Two-Dimensional Systems: Polaron Effects and Screening.- 1. The free polaron in two dimensions -singe particle approximation.- 2. Many-particle problem in two dimensions -effect of screening of the electron-phonon interaction.- 3. The 2D polaron system subjected to a static magnetic field.- References.- Appendix A: Theory of the cyclotron resonance spectrum of a polaron in two dimensions.- Appendix B: Influence of many-body effects on the cyclotron resonance mass of two-dimensional polarons with application to GaAs-AlGaAs heterostructures.- Hot Carrier Effects in Quasí-2D Polar Semiconductors.- 1. Introduction.- 2. Basic concepts.- 3. Electron-phonon interactions in 3D.- 4. Theoretical investigations in quasi-2D systems.- 5. Experimental investigations.- 6. Summary.- Acknowledgments.- References.- Anomalous Current Oscillations in Semiconductor-Insulator-Semiconductor Structures and Related Devices.- 1. Introduction and historical background.- 2. Experiments.- 3. Theoretical models.- 4. Conclusions.- Acknowledgments.- References.- Band Structure.- k.p Theory for Two-Dimensional Systems.- 1. Introduction.- 2. Fundamentals -3D theory.- 3. k.p theory for 2D systems.- 4. Heterostructures.- 5. Wave function matching.- 6. Variational solution.- 7. Numerical results.- 8. Spin splitting.- 9. Tunneling through semiconductor barriers.- Acknowledgments.- References.- Inversion Electrons in InSb in Crossed Electric and Magnetic Fields.- 1. Introduction.- 2. Classical trajectories of inversion electrons in crossed fields.- 3. One-band model for crossed fields: energy levels and transition probabilities.- 4. Experiments: diamagnetically shifted intersubband resonance vs cyclotron resonance.- 5. Two-band model in crossed fields: analogy to relativistic electrons.- 6. Experiments: destruction of Landau quantization in strong electric fields.- Acknowledgments.- References.- Electric Properties of II-VI Compound Superlattices.- 1. Introduction.- 2. Band structure of bulk HgTe and CdTe.- 3. Growth of II-VI compound superlattices.- 4. Magneto-optical investigations of HgTe-CdTe superlattices.- 5. Optical absorption studies.- 6. HgTe-CdTe superlattices as infrared materials.- 7. Some aspects of CdTe-Cd1-xMnxTe superlattices.- 8. Some prospects about Cd1-xMnxTe-Cd1-yMnyTe hetero-structures.- 9. Conclusion.- Acknowledgments.- References.- Special Topics.- Density of States of Two-Dimensional Systems in High Magnetic Fields.- Abstract.- 1. Introduction.- 2. Specific heat.- 3. Magnetization.- 4. Activated resistivity.- 5. Magnetocapacitance.- 6. Cyclotron resonance spectroscopy.- 7. Conclusions.- Acknowledgments.- References.- Electrons on Liquid Helium.- 1. Introduction.- 2. Surface state electrons on liquid helium.- 3. Wigner crystal.- 4. Self-trapping.- Acknowledgments.- References.- Author index.- Material Index.
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