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Plateau transitions in fractional quantum Hall liquids

Ken-Ichiro Imura
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Abstract

Effects of backward scattering between fractional quantum Hall (FQH) edge modes are studied. Based on the edge-state picture for hierarchical FQH liquids, we discuss the possibility of the transitions between different plateaux of the tunneling conductance $G$. We find a selection rule for the sequence which begins with a conductance $G=m/(mp\pm 1)$ ($m$: integer, $p$: even integer) in units of $e^2/h$. The shot-noise spectrum as well as the scaling behavior of the tunneling current is calculated explicitly.

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Ken-Ichiro Imura. 1999-11-17. Plateau transitions in fractional quantum Hall liquids. https://doi.org/10.1007/s100510051110

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