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

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  • T. Aoyama
  • N. Maeda

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

Suggested Citation

  • T. Aoyama & N. Maeda, 2006. "Induced Chern-Simons term of a paired electron state in the quantum Hall system," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 54(2), pages 157-168, November.
    • Handle: RePEc:spr:eurphb:v:54:y:2006:i:2:p:157-168
    DOI: 10.1140/epjb/e2006-00436-x
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