Mapping of Parent Hamiltonians

From Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains

von Martin Greiter

194 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Springer Tracts in Modern Physics
• Themen: Mathematik und Naturwissenschaften Physik Quantenphysik (Quantenmechanik und Quantenfeldtheorie)
• ISBN: 9783642437823
• Sprache: Englisch
• Erscheinungsdatum: 01.03.2014
• Größe: 23.5 x 15.5 cm
• Verlag: Springer Berlin