Physics – Condensed Matter
Scientific paper
1997-04-15
Physics
Condensed Matter
4 pages, revtex, no figures
Scientific paper
We derive a microscopic theory of the composite fermion type quasiparticles describing the low-lying edge excitations in the fractional quantum Hall liquid with $\nu=1/m$. Using the composite fermion transformation, one finds that the edge states of the system in a disc sample are described by the Calogero-Sutherland-like model (CSLM) in the one-dimensional limit. This result presents the consistency between one-dimensional and two-dimensional statistics. It is shows that the low-lying excitations, indeed, have the chiral Luttinger liquid behaviors because there is a gap between the right- and left-moving excitations of the CSLM.
Yu Yue
Zhu Zongyuan
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