Composite Fermions

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Paperback | 19 April 2012

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560 Pages

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24.41 x 16.99 x 2.9

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This book was first published in 2007. When electrons are confined to two dimensions, cooled to near absolute zero temperature, and subjected to a strong magnetic field, they form an exotic new collective state of matter. Investigations into this began with the observations of integral and fractional quantum Hall effects, which are among the most important discoveries in condensed matter physics. The fractional quantum Hall effect and a stream of other unexpected findings are explained by a new class of particles: composite fermions. This textbook is a self-contained, pedagogical introduction to the physics and experimental manifestations of composite fermions. Ideal for graduate students and academic researchers, it contains numerous exercises to reinforce the concepts presented. The topics covered include the integral and fractional quantum Hall effects, the composite-fermion Fermi sea, various kinds of excitations, the role of spin, edge state transport, electron solid, bilayer physics, fractional braiding statistics and fractional local charge.

Industry Reviews

'Everything you always wanted to know about Composite Fermions by its primary architect and champion. Much gorgeous theory, of course, but also an excellent collection of the relevant experimental data. For the initiated, an illuminating account of the relationship between Composite Fermion model and other models on stage. For the novice, a lucid presentation and dozens of valuable exercises.' Horst Stormer, Columbia University, NY and Lucent Technologies. Winner of the Nobel Prize in Physics in 1998 for discovery of a new form of quantum fluid with fractionally charged excitations.

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Preface
List of symbols and abbreviations
Overview
Quantum Hall effect
Landau levels
Theory of the IQHE
Foundations of the composite fermion theory
Microscopic verifications
Theory of the FQHE
Incompressible ground states and their excitations
Topology and quantizations
Composite fermion Fermi sea
Composite fermions with spin
Non-composite fermion approaches
Bilayer FQHE
Edge physics
Composite fermion crystals
Appendices
Gaussian integral
Useful operator identities
Point flux tube
Adiabatic insertion of a point flux
Berry phase
Second quantization
Green's functions, spectral function, tunneling
Off-diagonal long-range order
Total energies and energy gaps
Lowest Landau level projection
Metropolis Monte Carlo
Composite fermion diagonalization
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

Composite Fermions

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Condensed Matter Physics including Liquid State & Solid State Physics

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Introduction to Particle Therapy

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Six Months in the Life of a Detector Physicist

Relativistic Plasmas

Acceleration and Radiation

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Low-Dimensional Quantum Materials

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Quantum Matters

From Field to Life

Quantum Matters

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