Description
Book SynopsisEnthusiasm for research on the quantum Hall effect (QHE) is unbounded. The 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. Composite bosons, composite fermions and anyons were among distinguishing ideas in the original edition.In the 2nd edition, fantastic phenomena associated with the interlayer phase coherence in the bilayer system were extensively described. The microscopic theory of the QHE was formulated based on the noncommutative geometry. Furthermore, the unconventional QHE in graphene was reviewed, where the electron dynamics can be treated as relativistic Dirac fermions and even the supersymmetric quantum mechanics plays a key role.In this 3rd edition, all chapters are carefully reexamined and updated. A highlight is the new chapter on topological insulators. Indeed, the concept of topological insulator stems from the QHE. Other new topics are recent prominent experimental discoveries in the QHE, provided by the experimentalists themselves in Part V. This new edition presents an instructive and comprehensive overview of the QHE. It is also suitable for an introduction to quantum field theory with vividly described applications. Only knowledge of quantum mechanics is assumed. This book is ideal for students and researchers in condensed matter physics, particle physics, theoretical physics and mathematical physics.
Table of ContentsQuantum Field Theory: Quantum Mechanics; Quantum Field Theory; Canonical Quantization; Spontaneous Symmetry Breaking; Electromagnetic Field; Dirac Field; Topological Solitons; Anyons; 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 Ferromagnets; Spin Textures; Hierarchy of Fractional QH States; Edge Effects; Stripes and Bubbles in Higher Landau Levels; Quantum Hall Effects in Graphene; Quantum Hall Effects in Silicene; Topological Insulators and QH Effects without Landau Levels; Bilayer Quantum Hall Systems: Overview of Bilayer QH Systems; SU(2) Pseudospin Structure; Bilayer-Locked States; Interlayer Coherence and Josephson Effects; Commensurate and Incommensurate Phases; SU(4) Quantum Hall Ferromagnets; Bilayer Quantum Hall Systems at ν = 2; Microscopic Theory: Overview of Microscopic Theory; Noncommutative Geometry; Landau Level Projection; Noncommutative Solitons; Exchange Interactions and Effective Theory; Recent Experimental Developments: Overview of New Experimental Developments; Real-Space Observation of Quantum Hall States; Collective Excitations in Integer and Fractional QH Systems; Hyperfine Interactions in Quantum Hall Regime; Microwave-induced Nonequilibrium Phenomena; Superfluid Properties of Electron Bilayers; Quantum Hall Effect in ZnO.
