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arxiv: cond-mat/9912443 · v3 · submitted 1999-12-23 · ❄️ cond-mat.mes-hall

Non-equilibrium tunneling into general quantum Hall edge states

classification ❄️ cond-mat.mes-hall
keywords tunnelingboundaryedgestatesconditioncorrespondinggeneralhall
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In this paper we formulate the theory of tunneling into general Abelian fractional quantum Hall edge states. In contrast to the simple Laughlin states, a number of charge transfer processes must be accounted for. Nonetheless, it is possible to identify a unique value corresponding to dissipationless transport as the asymptotic large-$V$ conductance through a tunneling junction, and find fixed points (CFT boundary conditions) corresponding to this value. The symmetries of a given edge tunneling problem determine the appropriate boundary condition, and the boundary condition determines the strong-coupling operator content and current noise.

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