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Martin Greiter - Mapping of Parent Hamiltonians - 9783642243837 - V9783642243837
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Mapping of Parent Hamiltonians

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Description for Mapping of Parent Hamiltonians Hardback. Unlike the spinons in the Haldane-Shastry model, those proposed here obey non-abelian statistics and integrate classical and fresh concepts. The new model this volume introduces is derived by mapping exact models of quantized Hall states into spin chains. Series: Springer Tracts in Modern Physics. Num Pages: 208 pages, biography. BIC Classification: PHF; PHQ; PHS; PHU. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 12. Weight in Grams: 479.
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 ... Read more

Product Details

Format
Hardback
Publication date
2011
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
208
Condition
New
Series
Springer Tracts in Modern Physics
Number of Pages
194
Place of Publication
Berlin, Germany
ISBN
9783642243837
SKU
V9783642243837
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15

About Martin Greiter
PHD Martin Greiter Karlsruhe Institute of Technology, KIT, Germany greiter@tkm.uni-karlsruhe.de

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