Mapping of Parent Hamiltonians [recurso electrónico] : From Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains / by Martin Greiter.
Tipo de material: TextoSeries Springer Tracts in Modern Physics ; 244Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Descripción: XIV, 194 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642243844Tema(s): Physics | Quantum theory | Mathematical physics | Physics | Condensed Matter Physics | Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Methods in Physics | Mathematical PhysicsFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 530.41 Clasificación LoC:QC173.45-173.458Recursos en línea: Libro electrónicoTipo de ítem | Biblioteca actual | Colección | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras |
---|---|---|---|---|---|---|---|
Libro Electrónico | Biblioteca Electrónica | Colección de Libros Electrónicos | QC173.45 -173.458 (Browse shelf(Abre debajo)) | 1 | No para préstamo | 376779-2001 |
Navegando Biblioteca Electrónica Estantes, Código de colección: Colección de Libros Electrónicos Cerrar el navegador de estanterías (Oculta el navegador de estanterías)
QC173.45 -173.458 Full-Potential Electronic Structure Method | QC173.45 -173.458 Introduction to the Physics of Diluted Magnetic Semiconductors | QC173.45 -173.458 Phase Transitions in Two-Dimensional Complex Plasmas | QC173.45 -173.458 Mapping of Parent Hamiltonians | QC173.454 .M37 2010 Condensed Matter Physics | QC173.96 -174.52 Epistemology and Probability | QC173.96 -174.52 Femtosecond Laser Filamentation |
Introduction and summary -- Three models and a ground state -- From a Laughlin state to the Haldane-Shastry model -- From a bosonic Pfaffian state to an S = 1 spin chain -- Generalization to arbitrary spin S -- Conclusions and unresolved issues -- Spherical coordinates -- Fourier sums for one-dimensional lattices -- Angular momentum algebra -- Tensor decompositions of spin operators.
This monograph introduces an exact model for a critical spin chain with arbitrary spin S, which includes the Haldane--Shastry model as the special case S=1/2. While spinons in the Haldane-Shastry model obey abelian half-fermi statistics, the spinons in the general model introduced here obey non-abelian statistics. This manifests itself through topological choices for the fractional momentum spacings. The general model is derived by mapping exact models of quantized Hall states onto spin chains. The book begins with pedagogical review of all the relevant models including the non-abelian statistics in the Pfaffian Hall state, and is understandable to every student with a graduate course in quantum mechanics.
19