量子ホール効果<br>Quantum Hall Effects: Field Theoretical Approach and Related Topics

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量子ホール効果
Quantum Hall Effects: Field Theoretical Approach and Related Topics

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  • 製本 Hardcover:ハードカバー版／ページ数 532 p.
  • 言語 ENG
  • 商品コード 9789810234300
  • DDC分類 537.6226

基本説明

"...covers a wide range, starting from the spectacular discoveries of the Hall conductivity plateaus all the way to the most recent developments in double-layer systems... very attractively produced with numerous graphs and colorful figures..." -Prof. R. Rajaraman.

Full Description

Tremendous theoretical and experimental developments have recently been made in the sphere of the quantum Hall effect. Among them a field-theoretical approach has presented a fascinating unified physical picture. A most significant feature of the quantum Hall system is that exotic phenomena associated with statistics transmutation are realized. For instance, an electron may undergo Bose condensation by making a charge-flux composite, and fractionally charged excitations (anyons) emerge as quasiparticles. A pedagogical and self-contained discussion on monolayer and bilayer quantum Hall systems is given in a field-theoretical framework, together with an introduction to quantum field theory, anyon physics and Chern-Simons gauge theory. Only knowledge of quantum mechanics is assumed.This invaluable book will be of great interest to students and researchers in condensed-matter, theoretical, particle and mathematical physics.

Contents

Quantum field theory: quantum mechanics; quantum field theory; canonical quantization; spontaneous symmetry breaking; electromagnetic field; topological solitons; anyons. Monolayer quantum Hall 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 quantum Hall states; edge effects. Bilayer quantum Hall systems: SU(2) pseudospin structure; bilayer-locked states; interlayer-coherent states; skyrmions in SU(4)-invariant regime; bilayer quantum-Hall junction. Algebraic approach: lowest-Landau-level projection; quantum Hall effects in algebraic approach; effective Hamiltonian in algebraic approach; electric currents in bilayer systems.