Composite Fermions

Erscheinungsjahr 2007
ISBN: 978-0-521-86232-5
Verlag: Cambridge University Press

Buch, Englisch, 560 Seiten, Format (B × H): 179 mm x 250 mm, Gewicht: 1225 g

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.

Autoren/Hrsg.

Jain, Jainendra

Fachgebiete

• Naturwissenschaften Physik Quantenphysik Teilchenphysik
• Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie

Inhaltsverzeichnis

Preface
List of symbols and abbreviations
1. Overview
2. Quantum Hall effect
3. Landau levels
4. Theory of the IQHE
5. Foundations of the composite fermion theory
6. Microscopic verifications
7. Theory of the FQHE
8. Incompressible ground states and their excitations
9. Topology and quantizations
10. Composite fermion Fermi sea
11. Composite fermions with spin
12. Non-composite fermion approaches
13. Bilayer FQHE
14. Edge physics
15. Composite fermion crystals
Appendices: A. Gaussian integral
B. Useful operator identities
C. Point flux tube
D. Adiabatic insertion of a point flux
E. Berry phase
F. Second quantization
G. Green's functions, spectral function, tunneling
H. Off-diagonal long-range order
I. Total energies and energy gaps
J. Lowest Landau level projection
K. Metropolis Monte Carlo
L. Composite fermion diagonalization
References
Index.

Über Autor(innen)

Jain, Jainendra
Jainendra Jain is Erwin W. Mueller Professor of Physics at the Pennsylvania State University. He is a Fellow of the John Simon Guggenheim Memorial Foundation, the Alfred P. Sloan Foundation, and of the American Physical Society. Professor Jain was co-recipient of the Oliver E. Buckley Prize of the American Physical Society in 2002.