Anomalous currents on closed surfaces: extended proximity, partial quantization and qubits.

  title={Anomalous currents on closed surfaces: extended proximity, partial quantization and qubits.},
  author={A. Selem},
  journal={Journal of physics. Condensed matter : an Institute of Physics journal},
  volume={25 4},
  • A. Selem
  • Published 27 January 2012
  • Physics, Mathematics, Medicine
  • Journal of physics. Condensed matter : an Institute of Physics journal
Motivated by the surfaces of topological insulators, the Dirac anomaly's discontinuous dependence on the sign of the mass, m/|m|, is investigated on closed topologies when the mass terms are weak or only partially cover the surface. It is found that, unlike the massive Dirac theory on an infinite plane, there is a smoothly decreasing current when the mass region is not infinite; also, a massive finite region fails to exhibit a Hall current edge-exerting an extended proximity effect, which can… 
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