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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 | 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 $
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 | Services: | Forum | Review | PDF | Favorites |
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