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

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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.

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Authors and Affiliations

  1. Institute for Solid State Physics, University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, Chiba, 277-8581, Japan

    T. Aoyama

  2. Department of Physics, Hokkaido University, Sapporo, 060-0810, Japan

    N. Maeda

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  1. T. Aoyama
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  2. N. Maeda
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Aoyama, T., Maeda, N. Induced Chern-Simons term of a paired electron state in the quantum Hall system. Eur. Phys. J. B 54, 157–168 (2006). https://doi.org/10.1140/epjb/e2006-00436-x

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