Chen, TM; Liang, CT; Simmons, MY; Ritchie, DA; Pepper, M; (2004) Evolution of the second lowest extended state as a function of the effective magnetic field in the fractional quantum hall regime. Chinese Journal of Physics , 42 (3) 307 - 311.

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Abstract

It has been shown that, at a Landau level filling factor v=1/2, a two-dimensional electron system can be mathematically transformed into a composite fermion system interacting with a Chern-Simons gauge field. At v=1/2, the average of this Chern-Simons gauge field cancels the external magnetic field B-ext so that the effective magnetic field B-eff acting on the composite fermions is zero. Away from v=1/2, the composite fermions experience a net effective magnetic field B-eff. We present the first study of the evolution of the second lowest extended state in a vanishing effective magnetic field in the fractional quantum Hall regime. Our result shows that the evolution of the second lowest extended state has a good linear dependence on the effective magnetic field Beff within the composite fermion picture.

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