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Mapping of Parent Hamiltonians on Hardback by Martin Greiter
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Mapping of Parent Hamiltonians

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

Author Biography:

PHD Martin Greiter Karlsruhe Institute of Technology, KIT, Germany greiter@tkm.uni-karlsruhe.de
Release date Australia
December 7th, 2011
Audience
  • Professional & Vocational
Illustrations
xiv, 194 p.
Pages
194
Dimensions
156x234x12
ISBN-13
9783642243837
Product ID
18500195

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