This textbook on the quantum Hall effect was conceived and written by four scientists who have long been active in the area. Not intended as an exhaustive survey, it covers subjects which have turned out to have had a significant and lasting impact on our understanding of the quantum Hall effect.
The first part systematically explores the problem of localization in strong magnetic fields, while the second part briefly describes promising fields of theoretical research. The various chapters present partial solutions, in order of increasing complexity, to the fundamental localization problem ′How does a system manage to behave as a perfect conductor and as a perfect insulator?′.
Experimental and theoretical physicists, graduate students as well as experts in transport theory will discover new aspects and interesting perspectives on magnetotransport.
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The quantum hall effect (QHE) is an important topic for those studying the way electrons move in materials, particularly in structures that confine such a movement in one or more dimensions (low-dimensional structures). This book provides an introduction to the ways of using the various models that try to explain diverse aspects of the QHE, an effect that is still not properly understood. Some chapters, such as "critical phenomena" and "multifractal analysis" should be of interest to a wider audience than those studying QHE.
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