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...
Gorde:
| Egile nagusia: | |
|---|---|
| Formatua: | Livre numérique |
| Hizkuntza: | Anglais |
| Argitaratua: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edizioa: | 1st ed. 2011. |
| Saila: | Springer Tracts in Modern Physics
244 |
| Gaiak: | |
| Sarrera elektronikoa: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Oharra: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Mapping of parent Hamiltonians, from Abelian and non-Abelian quantum hall states to exact models of critical spin chains, Martin Greiter, Berlin, Springer, 2011, 1 vol. (XIV-194 p., Springer tracts in modern physics, 978-3-642-24383-7 |
Aurkibidea:
- 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