Induced Chern-Simons term of a paired electron state in the quantum Hall system

Details Induced Chern-Simons term of a paired electron state in the quantum Hall system Induced Chern-Simons term of a paired electron state in the quantum Hall system

2005-12-21

arxiv.org/abs/cond-mat/0512538v4

Eur. Phys. J. B 54, 157 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

26 pages, 6 figures

Scientific paper

10.1140/epjb/e2006-00436-x

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.

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