Induced Chern-Simons term of a paired electron state in the quantum Hall system
Mesoscale and Nanoscale Physics
2009-11-11 v4 Superconductivity
High Energy Physics - Theory
Abstract
The induced Chern-Simons term for a paired electron state is calculated in the quantum Hall system by using a field theory on the von Neumann lattice. The coefficient of the Chern-Simons term, which is the Hall conductance, has not only the usual term proportional to a filling factor due to P (parity) & T (time reversal) symmetry breaking but also correction terms due to P & T & U(1) symmetry breaking. The correction term essentially comes from the Nambu-Goldstone mode and depends on an infrared limit. It is shown that the correction term is related to a topological number of a gap function in the momentum space.
Keywords
Cite
@article{arxiv.cond-mat/0512538,
title = {Induced Chern-Simons term of a paired electron state in the quantum Hall system},
author = {T. Aoyama and N. Maeda},
journal= {arXiv preprint arXiv:cond-mat/0512538},
year = {2009}
}
Comments
26 pages, 6 figures