Tunneling into the edge of a compressible Quantum Hall state
Mesoscale and Nanoscale Physics
2008-04-12 v2
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.
Keywords
Cite
@article{arxiv.cond-mat/9703246,
title = {Tunneling into the edge of a compressible Quantum Hall state},
author = {A. V. Shytov and L. S. Levitov and B. I. Halperin},
journal= {arXiv preprint arXiv:cond-mat/9703246},
year = {2008}
}
Comments
5 pages, 1 EPS figure, RevTeX, epsfig