English

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

Condensed Matter 2008-02-03 v2

Abstract

We show that at electronic filling factor ν=1/2\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 e2/2h-e^2/2h. (The electronic Hall conductivity is e2/2he^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.

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