Yu, Y , Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China.
Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China
We derive a microscopic theory of the composite fermion-type quasiparticles describing the low-lying edge excitations in the fractional quantum Hall liquid with v = 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 shown 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.