[Download] "Mapping of Parent Hamiltonians" by Martin Greiter * Book PDF Kindle ePub Free

March 19, 2021

eBook details

Title: Mapping of Parent Hamiltonians
Author : Martin Greiter
Release Date : January 04, 2011
Genre: Physics,Books,Science & Nature,
Pages : * pages
Size : 3938 KB

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.