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Mapping of Parent Hamiltonians: From Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains (Springer Tracts in Modern Physics)

Martin Greiter

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ISBN 10: 3642243835 / ISBN 13: 9783642243837
Published by Springer, 2011
New Condition: New Hardcover
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Bibliographic Details

Title: Mapping of Parent Hamiltonians: From Abelian...

Publisher: Springer

Publication Date: 2011

Binding: Hardcover

Book Condition: New

Edition: 2011.

About this title


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.

About the Author:

PHD Martin Greiter
Karlsruhe Institute of Technology, KIT, Germany

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