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Quantum Hall Effects: Field Theoretical Approach and Related Topics, Second Edition (Hardback)

Quantum Hall Effects: Field Theoretical Approach and Related Topics, Second Edition (Hardback)

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VERY GOOD: This book is in excellent condition, showing only slight signs of use or wear (namely, slightly bent front bottom cover corner). The pages are crisp and the binding is tight.

Product Details

Multiple color and black-and-white illustrations are displayed throughout the text.

From the back cover: "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."

BRIEF CONTENTS

  • Preface
  • Part I. Quantum Field Theory
    1. Quantum Mechanics
    2. Quantum Field Theory
    3. Canonical Quantization
    4. Spontaneous Symmetry Breaking
    5. Electromagnetic Field
    6. Dirac Field
    7. Topological Solitons
    8. Anyons
  • Part II. Monolayer Quantum Hall Systems
    1. Overview of Monolayer QH Systems
    2. Landau Quantization
    3. Quantum Hall Effects
    4. Quasiparticles and Activation Energy
    5. Field Theory of Composite Particles
    6. Composite Bosons and Semiclassical Analysis
    7. Quantum Hall Ferronagnets
    8. Spin Textures
    9. Hierarchy of Fractional QH Series
    10. Edge Effects
    11. Stripes and Bubbles in Higher Landau Levels
    12. Quantum Hall Effects in Graphene
  • Part III. Bilayer Quantum Hall Systems
    1. Overview of Bilayer Systems
    2. SU(2) Pseudospin Structure
    3. Bilayer-Locked States
    4. Interlayer Coherence
    5. SU(4) Quantum Hall Ferromagnets
    6. Bilayer Quantum Hall Systems at v = 2
    7. Bilayer Quantum-Hall Junction
  • Part IV. Microscopic Theory
    1. Noncommutative Geometry
    2. Landau Level Projection
    3. Noncommutative Solitons
    4. Exchange Interactions and Effective Theory
  • Appendices
    1. Energy Scales
    2. Hausdorff Formulas
    3. Group SU(2) and Pauli Matrices
    4. Groups SU(N) and SU(2N)
    5. Cauchy-Riemann Equations
    6. Green Function
    7. Bogoliubov Transformation
    8. Energy-Momentum Tensor
    9. Exchange Interaction
    10. Mermin-Wagner Theorem
    11. Lorentz Transformation
    12. One-Dimensional Soliton Solutions
    13. Field-Theoretical Vortex Operators
    14. Bosonization in One-Dimensional Space
    15. Coulomb Energy Formulas
    16. W∞ Algebra
  • References
  • Index
View full details

AUTHOR: Ezawa;Zyan F.
PUBLISHER: World Scientific
ISBN-13: 9789812700322
ISBN-10: 9812700323
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Quantum Hall Effects: Field Theoretical Approach and Related Topics, Second Edition (Hardback)
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