EDGE STATES OF COMPOSITE FERMIONS

We investigate the edge structure of a system of composite fermions confined in a wire. Using the composite fermion picture of the fractional quantum Hall effect, we have studied the electronic edge structure of different fractional quantum Hall liquids. For strong confinement and in the case of the 2/3 quantum Hall state we find that a droplet of charge with filling factor 1 appears at the edge of the system. In the case of the 1/3 quantum Hall state the droplet of charge corresponds to filling factor 2/5. For very smooth boundaries, we obtain the existence of plateaus and droplets of charge at fractional filling factors. We present an expression for the fractional Hall resistance as a function of the composite fermion edge states, which is a generalization of the Landauer-Buttiker formula for the integer quantum Hall effect. © 1994 The American Physical Society.