Quantum hall effects : field theoretical approach and related topics

Zyun F. Ezawa

The quantum Hall effect (QHE) is one of the most fascinating and beautiful phenomena in all branches of physics. Tremendous theoretical and experimental developments are still being made in this sphere. In the original edition of this book, composite bosons, composite fermions and fractional charged excitations (anyons) were among the distinguished ideas presented. This new edition includes many novel ideas according to recent progress. Fantastic phenomena associated with the interlayer phase coherence and SU(4) quantum Hall ferromagnets in the bilayer system are extensively reviewed. The microscopic theory of the QHE is formulated based on noncommutative geometry, the underlying mathematical structure. Quasiparticles are described as noncommutative solitons. The coverage also includes the recent development of the unconventional QHE in graphene (a single atomic layer graphite), where the electron dynamics can be treated as relativistic Dirac fermions and even the supersymmetric quantum mechanics plays a key role. An instructive and comprehensive overview of the QHE, the book is also suitable as an introduction to quantum field theory with vivid applications. Only a knowledge of quantum mechanics is assumed.

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[目次]

  • Quantum Field Theory: Canonical Quantization, Spontaneous Symmetry Breaking
  • Electromagnetic Field
  • Dirac Equations
  • Topological Solitons
  • Anyons
  • Monolayer QH Effects: Landau Quantization
  • Quasiparticles and Activation Energy
  • Composite Bosons and Composite Fermions
  • Semiclassical Analysis
  • Quantum Hall Ferromagnets
  • Spin Textures
  • Hierarchy of Fractional QH States
  • Edge Effects
  • QH Effects in Graphene
  • Bilayer QH Effects: SU(2) Pseudospin Structure
  • Interlayer Phase Coherence
  • SU(4) QH Ferromagnets
  • Bilayer QH Junction
  • Microscopic Theory of QH Effects: Noncommutative Geometry
  • Lowest Landau Level Projection
  • Noncommutative Solitons
  • Effective Theory on Noncummutative Plane.

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この本の情報

書名 Quantum hall effects : field theoretical approach and related topics
著作者等 江澤 潤一
Ezawa Zyun Francis
出版元 World Scientific
刊行年月 c2008
版表示 2nd ed
ページ数 xxxiv, 706 p.
大きさ 26 cm
ISBN 9789812700322
NCID BA85001151
※クリックでCiNii Booksを表示
言語 英語
出版国 アメリカ合衆国
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