Plateau transitions in fractional quantum Hall liquids

Details Plateau transitions in fractional quantum Hall liquids Plateau transitions in fractional quantum Hall liquids

1999-04-29

arxiv.org/abs/cond-mat/9904424v3

Eur. Phys. J. B 15, 155-160 (2000).

Physics

Condensed Matter

8 pages, latex

Scientific paper

10.1007/s100510051110

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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