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Mapping of Parent Hamiltonians From Abelian and non-Abelian Quantum Hall States to Exact Models of Critical Spin Chains /

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-abe...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Greiter, Martin (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:Springer Tracts in Modern Physics, 244
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction and summary
  • Three models and a ground state
  • From a Laughlin state to the Haldane-Shastry model
  • From a bosonic Pfaffian state to an S = 1 spin chain
  • Generalization to arbitrary spin S
  • Conclusions and unresolved issues
  • Spherical coordinates
  • Fourier sums for one-dimensional lattices
  • Angular momentum algebra
  • Tensor decompositions of spin operators.