Quantum Hall Effect

By: Michael Stone (Editor)

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Hardcover | 1 October 1992

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Hardcover
380 Pages

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25.4 x 17.78 x 2.24

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This book is a compilation of major reprint articles on one of the most intriguing phenomena in modern physics: the quantum Hall effect. Together with a detailed introduction by the editor, this volume serves as a stimulating and valuable reference for students and research workers in condensed matter physics and for those with a particle physics background. The papers have been chosen with the intention of emphasizing the topological aspects of the quantum Hall effect and its connections with other branches of theoretical physics, such as topological quantum field theories and string theory. The contents include sections on integer effect, fractional effect, effect of global topology, effective theories, edge states and non-Abelian statistics.

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Introduction	p. 1
Integer Effect	p. 3
Quantized Hall Resistance and the Measurement of the Fine-Structure Constant	p. 21
Localization, Percolation and the Quantum Hall Effect	p. 25
Quantized Hall Conductivity in Two-Dimensions	p. 33
Quantized Hall Conductance, Current-Carrying Edge States and the Existence of Extended States in a Two-Dimensional Disordered Potential	p. 35
Quantized Hall Conductance in a Two-Dimensional Periodic Potential	p. 41
Quantized Hall Conductance as a Topological Invariant	p. 45
Quantum Hall Effect with Realistic Boundary Conditions	p. 51
Topological Invariant and the Quantization of the Hall Conductance	p. 61
Quantization of the Hall Conductance for General Multiparticle Schrodinger Hamiltonians	p. 73
Adiabatic Quantum Transport in Multiply Connected Systems	p. 77
Localization, Wave-Function Topology, and the Integer Quantum Hall Effect	p. 120
The Fractional Effect	p. 125
Formalism for Quantum Hall Effect: Hilbert Space of Analytic Functions	p. 132
Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged Excitations	p. 141
Fractional Statistics and the Quantum Hall Effect	p. 145
Fractional Quantization of the Hall Effect: A Hierarchy of Incompressible Quantum Fluid States	p. 147
Statistics of Quasiparticles and the Heirarchy of Fractional Quantized Hall States	p. 151
Particle-Hole Symmetry in the Anomalous Quantum Hall Effect	p. 155
Hierarchical Classification of Fractional Quantum Hall States	p. 158
Structure of Microscopic Theory of the Quantum Hall Effect	p. 170
Composite Fermion Approach for the Quantum Hall Effect	p. 183
Excitation Structure of the Hierarchy Scheme for the Fractional Quantum Hall Effect	p. 187
Effects of Global Topology	p. 191
Gauge Invariance and the Fractional Quantum Hall Effect	p. 200
Periodic Laughlin-Jastrow Wave Functions for the Fractional Quantum Hall Effect	p. 202
Ground-State Degeneracy of the Fractional Quantum Hall States in the Presence of a Random Potential and on High-Genus Riemann Surfaces	p. 205
Gauge Invariance in Chern-Simons Theory on a Torus	p. 225
Coulomb Gas Description of the Collective States for the Fractional Quantum Hall Effect	p. 229
Non-Abelian Statistics in the Fractional Quantum Hall States	p. 237
Fractional Quantum Hall Effect and Non-Abelian Statistics	p. 241
A Note on Braid Statistics and the Non-Abelian Aharonov-Bohm Effect	p. 258
Singlet Quantum Hall Effect and Chern-Simons Theories	p. 270
Effective Theories	p. 283
Collective Excitation Gap in the Fractional Quantum Hall Effect	p. 296
Cooperative-Ring-Exchange Theory of the Fractional Quantized Hall Effect	p. 299
Off-Diagonal Long Range Order, Oblique Confinement, and the Fractional Quantum Hall Effect	p. 303
Effective-Field-Theory Model for the Fractional Quantum Hall Effect	p. 307
Off-Diagonal Long Range Order in Fractional Quantum-Hall-Effect States	p. 311
Order Parameter and Ginzburg-Landau Theory for the Fractional Quantum Hall Effect	p. 315
Collective Excitations in the Ginzburg-Landau Theory of the Fractional Quantum Hall Effect	p. 319
Superfluid Dynamics of the Fractional Quantum Hall State	p. 323
Edge States and Current Algebras	p. 329
Chiral Luttinger Liquid and the Edge Excitations in the Fractional Quantum Hall States	p. 340
Edge Excitations in the Fractional Quantum Hall Liquids	p. 347
Edge Waves in the Quantum Hall Effect	p. 351
Schur Functions, Chiral Bosons and the Quantum Hall Effect Edge States	p. 366
Table of Contents provided by Blackwell. All Rights Reserved.

Quantum Hall Effect

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Hardcover

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