Composite Fermion Theory, Edge Currents and the Fractional Quantum Hall Effect

Details Composite Fermion Theory, Edge Currents and the Fractional Quantum Hall Effect Composite Fermion Theory, Edge Currents and the Fractional Quantum Hall Effect

1995-08-17

arxiv.org/abs/cond-mat/9508069v1

Physics

Condensed Matter

4 pages + 1 figure. Talk presented at EP2DSXI in Nottingham in August, 1995. Self-unpacking uuencoded postscript. Unpacking in

Scientific paper

10.1016/0039-6028(96)00319-6

We present a mean field theory of composite fermion edge channel transport in the fractional and integer quantum Hall regimes. An expression relating the electro-chemical potentials of composite fermions at the edges of a sample to those of the corresponding electrons is obtained and a plausible form is assumed for the composite fermion Landau level energies near the edges. The theory yields the observed fractionally quantized Hall conductances and also explains other experimental results. We also discuss some experiments that are relevant to the question whether fractional edge states in real devices should be described as Fermi or Luttinger liquids.

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