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...
Κύριος συγγραφέας: | |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
2011.
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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.