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Binding Transition in Quantum Hall Edge States

Hsien-chung Kao·Chia-Hung Chang·Xiao-Gang Wen
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Abstract

We study a class of Abelian quantum Hall (QH) states which are topologically unstable (T-unstable). We find that the T-unstable QH states can have a phase transition on the edge which causes a binding between electrons and reduces the number of gapless edge branches. After the binding transition, the single-electron tunneling into the edge gains a finite energy gap, and only certain multi-electron co-tunneling (such as three-electron co-tunneling for $ν=9/5$ edges) can be gapless. Similar phenomenon also appear for edge state on the boundary between certain QH states. For example edge on the boundary between $ν=2$ and $ν=1/5$ states only allow three-electron co-tunneling at low energies after the binding transition.

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Hsien-chung Kao, Chia-Hung Chang, Xiao-Gang Wen. 1999-03-18. Binding Transition in Quantum Hall Edge States. https://doi.org/10.1103/physrevlett.83.5563

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