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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Greiter, Martin (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
Σειρά:Springer Tracts in Modern Physics, 244
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.