Quantum Hall Effects: Field Theoretical Approach And Related TopicsWorld Scientific Publishing Company, 15 nov. 2000 - 532 pages 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. |
Table des matières
Part II Monolayer Quantum Hall Systems | 137 |
Part III Bilayer Quantum Hall Systems | 305 |
Part IV Algebraic Approach | 405 |
Appendices | 459 |
485 | |
499 | |
Autres éditions - Tout afficher
Quantum Hall Effects: Field Theoretical Approach and Related Topics Zyun Francis Ezawa Aucun aperçu disponible - 2000 |
Expressions et termes fréquents
antiskyrmion ASAs back layer Bose bosons canonical commutation relations capacitance charge-transferable component composite fermions composite particles composite-boson field configuration Coulomb energy cyclotron defined density operator derived down-spin edge excitations effective magnetic field eigenstate electric charge electric field electromagnetic electron density electron number energy levels equation exchange energy ferromagnet field theory filling factor formula fractional QH gap energy gapless mode given ground Hall current Hamiltonian Hamiltonian density Hence incompressible integer QH interlayer coherence invariant kinetic Lagrangian density Laughlin Lett LLL condition LLL projection lowest Landau level magnetic field magnetic flux monolayer nonlinear sigma model number density obtain one-body parameter Phys polarization potential pseudospin QH ferromagnet quantized quantum quasielectron quasihole quasiparticles sample Schrödinger ſdºx Section semiclassical sigma field sigma model skyrmion space spin symmetry term topological charge topological solitons up-spin vacuum vanishes vector vortex vortices wave function Zeeman effect Zeeman energy