The Universal Composite Fermion Hall Conductance at $\nu=1/2$
Condensed Matter
2008-02-03 v2
Abstract
We show that at electronic filling factor , 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 . (The electronic Hall conductivity is .) 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.
Keywords
Cite
@article{arxiv.cond-mat/9604115,
title = {The Universal Composite Fermion Hall Conductance at $\nu=1/2$},
author = {D-H Lee and Yu. A. Krotov and J. Gan and S. A. Kivelson},
journal= {arXiv preprint arXiv:cond-mat/9604115},
year = {2008}
}
Comments
An error in Eq.(2) of the previous manuscript is corrected 4 pages, REVtex, 2 figures. Submitted to PRL