Binding Transition in Quantum Hall Edge States

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 $\nu =9/5$ 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 $\nu =2$ and $\nu =1/5$ states only allow three-electron co-tunneling at low energies after the binding transition.

4 pages, RevTeX, 1 figure

References in corpus (5)

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• A Solution to the 1+1D Gauged Chiral Fermion Problem
• Short-Range Entangled Bosonic States with Chiral Edge Modes and $T$-duality of Heterotic Strings
• Identification of 331 quantum Hall states with Mach-Zehnder interferometry
• Universal Periods in Quantum Hall Droplets
• Paired fermions in strong magnetic fields and daughters of even-denominator Hall plateaus
• Identifying non-Abelian anyons with upstream noise
• Localization and conductance in fractional quantum Hall edges
• Transport Signatures of Fractional Quantum Hall Binding Transitions
• Drag conductance induced by neutral-mode localization in fractional quantum Hall junctions
• Manifestation of edge-bulk incompatibility in fractional quantum Hall platform