Quantum Hall Effects: Field Theoretical Approach and Related TopicsWorld Scientific, 2008 - 706 pages 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. An instructive and comprehensive overview of the QHE, this book is also suitable as an introduction to quantum field theory with vivid applications. Only a knowledge of quantum mechanics is assumed. |
Table des matières
Part II Monolayer Quantum Hall Systems | 161 |
Part III Bilayer Quantum Hall Systems | 367 |
Part IV Microscopic Theory | 521 |
Appendices | 643 |
681 | |
699 | |
Autres éditions - Tout afficher
Quantum Hall Effects: Field Theoretical Approach and Related Topics Zyun Francis Ezawa Aucun aperçu disponible - 2000 |
Expressions et termes fréquents
Abias activation energy algebra antiskyrmion ASAS B₁ back layer bilayer QH system bosons canonical commutation relation classical commutation relation composite bosons composite fermions composite particles configuration Coulomb energy Coulomb interaction cyclotron d²x defined derive diagonal resistance Dirac down-spin eigenstate electron number energy level equation exchange energy excitation energy fermions ferromagnet filling factor formula fractional QH front layer gauge given Goldstone mode graphene ground Hall current Hamiltonian Hence hole integer QH isospin Lagrangian Landau level lattice Lett lowest Landau level magnetic field momentum monolayer noncommutative number density obtain parameter Phys physical polarization potential ppin pseudospin QH effect QH ferromagnet quantized quantum quasielectron quasihole quasiparticles sample Section sigma model skyrmion spin phase spin-skyrmion symmetry term theory topological charge topological solitons transformation up-spin vacuum vector Veff vortex wave function Zeeman effect μν Ρο σο