Field theory of spin-singlet quantum Hall states
Mesoscale and Nanoscale Physics
2009-10-31 v2 High Energy Physics - Theory
Abstract
We formulate a field theory for a class of spin-singlet quantum Hall states (the Haldane-Rezayi state and its variants) which have been proposed for the quantized Hall plateaus observed at the second lowest Landau level. A new essential ingredient is a class of super Chern-Simons field. We show that the known properties of the states are consistently described by it. We also give a 2+1 dimensional hierarchical construction. Implications of the proposal are discussed and a new physical picture of composite particles at the second lowest Landau level emerges.
Keywords
Cite
@article{arxiv.cond-mat/0008228,
title = {Field theory of spin-singlet quantum Hall states},
author = {Kazusumi Ino},
journal= {arXiv preprint arXiv:cond-mat/0008228},
year = {2009}
}
Comments
RevTex, 5 pages, 1 figure