Correlated tunneling and the instability of the fractional quantum Hall edge

Abstract

We consider a class of interaction terms that describes correlated tunneling of composite fermions between effective Landau levels. Despite being generic and of similar strength to that of the usual density-density couplings, these terms are not included in the accepted theory of the edges of fractional quantum Hall systems. Here we show that they may lead to an instability of the edge towards a new reconstructed state with additional channels, and thereby demonstrate the incompleteness of the traditional edge theory.

arXiv commentPublished version

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• Chiral Partition Functions of Quantum Hall Droplets
• Exotic resonant level models in non-Abelian quantum Hall states coupled to quantum dots
• Microscopic study of the 2/5 fractional quantum Hall edge
• Matrix Effective Theories of the Fractional Quantum Hall effect