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26 April 2024
 
  » arxiv » cond-mat/9903275

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Binding Transition in Quantum Hall Edge States
Hsien-chung Kao ; Chia-Hung Chang ; Xiao-Gang Wen ;
Date 18 Mar 1999
Subject Mesoscopic Systems and Quantum Hall Effect; Strongly Correlated Electrons | cond-mat.mes-hall cond-mat.str-el
AbstractWe 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 $ u=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 $ u=2$ and $ u=1/5$ states only allow three-electron co-tunneling at low energies after the binding transition.
Source arXiv, cond-mat/9903275
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