Non-equilibrium tunneling into general quantum Hall edge states

Details Non-equilibrium tunneling into general quantum Hall edge states Non-equilibrium tunneling into general quantum Hall edge states

1999-12-23

arxiv.org/abs/cond-mat/9912443v3

Phys. Rev. B 62, 7298-7302 (2000)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 3 figures; published version

Scientific paper

10.1103/PhysRevB.62.7298

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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