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Tunneling into the edge of a compressible Quantum Hall state

A. V. Shytov·L. S. Levitov·B. I. Halperin
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Abstract

We present a composite fermion theory of tunneling into the edge of a compressible quantum Hall system. The tunneling conductance is non-ohmic, due to slow relaxation of electromagnetic and Chern-Simons field disturbances caused by the tunneling electron. Universal results are obtained in the limit of a large number of channels involved in the relaxation. The tunneling exponent is found to be a continuous function of the filling factor nu, with a a slope that is discontinuous at nu=1/2 in the limit of vanishing bulk resistivity rho_xx. When nu corresponds to a principal fractional quantized Hall state, our results agree with the chiral Luttinger liquid theories of Wen, and Kane, Fisher and Polchinski.

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A. V. Shytov, L. S. Levitov, B. I. Halperin. 1997-03-31. Tunneling into the edge of a compressible Quantum Hall state. https://doi.org/10.1103/physrevlett.80.141

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