vbid/9783642243844

Description

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.Typham this is the title: Mapping of Parent Hamiltonians From Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains