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

T. Aoyama () and N. Maeda

The European Physical Journal B: Condensed Matter and Complex Systems, 2006, vol. 54, issue 2, 157-168

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. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Keywords: 73.43.-f Quantum Hall effects; 74.20.Fg BCS theory and its development; 11.15.-q Gauge field theories (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1140/epjb/e2006-00436-x

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