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The Universal Composite Fermion Hall Conductance at $ν=1/2$

D-H Lee·Yu. A. Krotov·J. Gan·S. A. Kivelson
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Abstract

We show that at electronic filling factor $ν=1/2$, the lowest Landau level constraint implies that at any temperature, and in the presence of {\it any} amount of particle-hole symmetric disorder, the {\it composite fermion} Hall conductivity is precisely $-e^2/2h$. (The electronic Hall conductivity is $e^2/2h$.) This is inconsistent with the response of a composite Fermi liquid in {\it zero} effective magnetic field. We also examine perturbatively the nature of the putative composite Fermi liquid in the case in which the bare particles are anyons with ``nearly'' Fermi statistics.

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D-H Lee, Yu. A. Krotov, J. Gan, S. A. Kivelson. 1996-04-23. The Universal Composite Fermion Hall Conductance at $ν=1/2$. https://arxiv.org/abs/cond-mat/9604115

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