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The Microscopic Model of Composite Fermion Type Excitations for ν=1/m Edge States

Yue Yu·Zongyuan Zhu
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Abstract

We derive a microscopic theory of the composite fermion type quasiparticles describing the low-lying edge excitations in the fractional quantum Hall liquid with $ν=1/m$. 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.

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Yue Yu, Zongyuan Zhu. 1997-04-15. The Microscopic Model of Composite Fermion Type Excitations for ν=1/m Edge States. https://doi.org/10.1088/0253-6102%2F29%2F3%2F351

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