The Fractional Quantum Hall Effect Properties of an Incompressible Quantum Fluid
The experimental discovery of the fractional quantum Hall effect (FQHE) at the end of 1981 by Tsui, Stormer and Gossard was absolutely unexpected since, at this time, no theoretical work existed that could predict new struc tures in the magnetotransport coefficients under conditions representing th...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1988, 1988
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| Edition: | 1st ed. 1988 |
| Series: | Springer Series in Solid-State Sciences
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1. Introduction
- 2. Ground State
- 2.1 Finite-Size Studies: Rectangular Geometry
- 2.2 Laughlin’s Theory
- 2.3 Spherical Geometry
- 2.4 Monte Carlo Results
- 2.5 Reversed Spins in the Ground State
- 2.6 Finite Thickness Correction
- 2.7 Liquid-Solid Transition
- 3. Elementary Excitations
- 3.1 Quasiholes and Quasiparticles
- 3.2 Finite-Size Studies: Rectangular Geometry
- 3.3 Spin-Reversed Quasiparticles
- 3.4 Spherical Geometry
- 3.5 Monte Carlo Results
- 3.6 Experimental Investigations of the Energy Gap
- 3.7 The Hierarchy: Higher Order Fractions
- 4. Collective Modes: Intra-Landau Level
- 4.1 Finite-Size Studies: Spherical Geometry
- 4.2 Rectangular Geometry: Translational Symmetry
- 4.3 Spin Waves
- 4.4 Single Mode Approximation: Magnetorotons
- 5. Collective Modes: Inter-Landau Level
- 5.1 Filled Landau Level
- 5.2 Fractional Filling: Single Mode Approximation
- 5.3 Fractional Filling: Finite-Size Studies
- 6. Further Topics
- 6.1 Effect of Impurities
- 6.2 Higher Landau Levels
- 6.3 Even Denominator Filling Fractions
- 6.4 Half-Filled Landau Level in Multiple Layer Systems
- 7. Open Problems and New Directions
- Appendices
- A The Landau Wave Function in the Symmetric Gauge
- B The Hypernetted-Chain Primer
- C Repetition of the Intra-Mode in the Inter-Mode
- References