The quantum Hall effect /
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| Author / Creator: | Yoshioka, Daijiro, 1949- |
|---|---|
| Uniform title: | Ryōshi hōru kōka. English |
| Imprint: | New York : Springer, 2002. |
| Description: | xii, 207 p. : ill. ; 24 cm. |
| Language: | English |
| Series: | Springer series in solid-state sciences, 0171-1873 ; 133 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4607701 |
Table of Contents:
- 1. Discovery of the Quantum Hall Effect
- 1.1. Realization of Two-Dimensional Electron Systems
- 1.2. The Quantum Hall Effect
- 2. Two-Dimensional Electrons in a Magnetic Field
- 2.1. Electron Motion in Classical Mechanics
- 2.2. Motion of an Electron in Quantum Mechanics
- 2.3. Electrons in External Fields
- 2.4. Localization by Impurities
- 3. The Integer Quantum Hall Effect
- 3.1. Laughlin's Gedankenexperiment
- 3.2. Buttiker's Theory
- 3.3. Edge Current vs. Bulk Current
- 3.4. Deviations from the Quantized Value
- 4. The Fractional Quantum Hall Effect
- 4.1. General Considerations
- 4.2. Investigation by the Exact-Diagonalization Method
- 4.3. Investigation by the Variational Method
- 4.4. Comparison Between the Exact Ground State and the Laughlin State
- 4.5. Properties of the FQHE State
- 4.6. Comparison with Experiment
- 4.7. Order Parameter and Long-Range Order
- 5. Composite-Particle Mean-Field Theory
- 5.1. Berry Phase and Statistics of Quasiparticles
- 5.2. Composite-Boson Mean-Field Theory
- 5.3. Chern-Simons Ginzburg-Landau Theory
- 5.4. Composite-Fermion Mean-Field Theory
- 6. Spin and Pseudospin Freedom
- 6.1. The Ground State in the Presence of Spin Degeneracy
- 6.2. Excited States
- 6.3. Skyrmions
- 6.4. Bilayer Systems and Pseudospin Representation
- 6.5. Ground State of a Bilayer System
- 7. Even-Denominator States
- 7.1. Anomalous Phenomena at v = 1/2
- 7.2. Composite-Fermion Theory
- 7.3. Experimental Verification
- 7.4. A Remaining Problem: the Essence of the State at v = 1/2
- 8. Electron States at the Sample Edge
- 8.1. Edge States - Effect of the Long-Range Coulomb Interaction
- 8.2. Idealized Edge States - the Effect of Electron Correlation
- 9. Higher Landau Levels
- 9.1. New Ground States in Higher Landau Levels
- 9.2. The Hamiltonian in Higher Landau Levels
- 9.3. Pair States
- 9.4. Charge Density Wave States.
