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arxiv: cond-mat/9604115 · v2 · submitted 1996-04-18 · ❄️ cond-mat

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

classification ❄️ cond-mat
keywords compositefermihallconductivityelectronicfermionliquidamount
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We show that at electronic filling factor $\nu=1/2$, 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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