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## Quantum Hall Effects: Field Theoretical Approach and Related Topics, Second Edition (Hardback)"Presenting an instructive and comprehensive overview of the QHE, this book is also suitable as an introduction to quantum field theory with vivid applications." — From the back cover ## $67.99 |

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Please contact us if you've got questions about this product.## Condition

**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.

## Description

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

## Details

- SKU:
- 2213
- Author:
- Ezawa, Zyan F.
- Publisher:
- World Scientific
- Publish Date:
- 2008
- Format:
- Hardback
- Weight (pounds):
- 3
- Dimensions (W”xL”xH”):
- 6.9″x10″x1.75″
- ISBN-13:
- 9789812700322
- ISBN-10:
- 9812700323

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