Non-abelian quantum hall states - Exclusion statistics, K-matrices, and duality

Citation
E. Ardonne et al., Non-abelian quantum hall states - Exclusion statistics, K-matrices, and duality, J STAT PHYS, 102(3-4), 2001, pp. 421-469
Citations number
64
Categorie Soggetti
Physics
Journal title
JOURNAL OF STATISTICAL PHYSICS
ISSN journal
00224715 → ACNP
Volume
102
Issue
3-4
Year of publication
2001
Pages
421 - 469
Database
ISI
SICI code
0022-4715(200102)102:3-4<421:NQHS-E>2.0.ZU;2-7
Abstract
We study excitations in edge theories for non-abelian quantum Hall states. focussing on the spin polarized slates proposed by Read and Rezayi and on t he spill singlet states proposed by two of the authors. By studying the exc lusion statistics properties of edge-electrons and edge-quasiholes, we arri ve at a novel K-matrix structure. Interestingly, the duality between the el ectron and quasihole sectors links the pseudoparticles that are characteris tic for non-abelian statistics with composite particles that are associated to the "pairing physics" of the non-abelian quantum Hall states.