The Quantum Hall Effect

The quantum Hall effects remains one of the most important subjects to have emerged in condensed matter physics over the past 20 years. The fractional quantum Hall effect, in particular, has opened up a new paradigm in the study of strongly correlated electrons, and it has been shown that new concepts, such as fractional statistics, anyon, chiral Luttinger liquid and composite particles, are realized in two-dimensional electron systems. This book explains the quantum Hall effects together with these new concepts starting from elementary quantum mechanics. Thus, graduate students can use this book to gain an overall understanding of these phenomena.

Klappentext
The fractional quantum Hall effect has opened up a new paradigm in the study of strongly correlated electrons and it has been shown that new concepts, such as fractional statistics, anyon, chiral Luttinger liquid and composite particles, are realized in two-dimensional electron systems. This book explains the quantum Hall effects together with these new concepts starting from elementary quantum mechanics.

Inhalt
1. Discovery of the Quantum Hall Effect.- 2. Two-Dimensional Electrons in a Magnetic Field.- 3. The Integer Quantum Hall Effect.- 4. The Fractional Quantum Hall Effect.- 5. Composite-Particle Mean-Field Theory.- 6. Spin and Pseudospin Freedom.- 7. Even-Denominator States.- 8. Electron States at the Sample Edge.- 9. Higher Landau Levels.- Answers to Exercises.- References.

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