图书简介
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. 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. The new topics are recent experimental developments on various aspects of QHE, which are included in several new chapters in Part V. Each chapter will summarize the main experimental results of a distinguished experimentalist. This new edition provides 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.
Key Features
• Includes recent experimental developments on the various aspects of quantum hall effects
• Elegant, readable and extensively illustrated
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; Skyrmions, 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; SU(4) Skyrmions; Bilayer QH Junction; Microscopic Theory of QH Effects: Noncommutative Geometry; Lowest Landau Level Projection; Noncommutative Solitons; Effective Theory on Noncummutative Plane; Recent Experimental Developments: Magneto Roton Excitations in the FQHE; Cyclotron Resonance of Composite Fermions; Microwave Induced Zero Resistance State; Bilayer activities with Critical Currents; Nuclear Spins and QHE; and Other Topics.
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