A Microscopic Model of Edge States of Fractional Quantum Hall Liquid: From Composite Fermions to Calogero-Sutherland Model
| dc.creator | Yu, Yue | |
| dc.date | 1999-06-09 | |
| dc.date | 1999-07-14 | |
| dc.date.accessioned | 2026-07-25T16:21:04Z | |
| dc.description | Based on the composite fermion approach, we derive a microscopic theory describing the low-lying edge excitations in the fractional quantum Hall liquid with $ν=\frac{ν^*}{\tildeϕν^*+1}$. For $ν^*>0$, it is found that the composite fermion model reduces to an SU$(ν^*)$ Calogero-Sutherland model in the one-dimensional limit, whereas it is not exact soluble for $ν^*<0$. However, the ground states in both cases can be found and the low-lying excitations can be shown the chiral Luttinger liquid behaviors since a gap exists between the right- and left-moving sectors in each branch of the azimuthal excitations. | |
| dc.description | minor revised with references added | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9906123 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9906123 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/40582 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | A Microscopic Model of Edge States of Fractional Quantum Hall Liquid: From Composite Fermions to Calogero-Sutherland Model | |
| dc.type | text |