Twisted CFT and bilayer Quantum Hall systems
High Energy Physics - Theory
2014-11-18 v1 Mesoscale and Nanoscale Physics
Abstract
We identify the impurity interactions of the recently proposed CFT description of a bilayer Quantum Hall system at filling nu =m/(pm+2) in Mod. Phys. Lett. A 15 (2000) 1679. Such a CFT is obtained by m-reduction on the one layer system, with a resulting pairing symmetry and presence of quasi-holes. For the m=2 case boundary terms are shown to describe an impurity interaction which allows for a localized tunnel of the Kondo problem type. The presence of an anomalous fixed point is evidenced at finite coupling which is unstable with respect to unbalance and flows to a vacuum state with no quasi-holes.
Cite
@article{arxiv.hep-th/0212318,
title = {Twisted CFT and bilayer Quantum Hall systems},
author = {G. Cristofano and V. Marotta and A. Naddeo},
journal= {arXiv preprint arXiv:hep-th/0212318},
year = {2014}
}
Comments
15 pages, 1 figure, Latex