Impurity Scattering in Carbon Nanotubes. Absence of Back Scattering.

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  • Ando Tsuneya
    Institute for Solid State Physics, University of Tokyo, 7––22––1 Minato–ku, Roppongi, Tokyo 106
  • Nakanishi Takeshi
    The Institute of Physical and Chemical Research (RIKEN), 2––1 Hirosawa, Wako–shi, Saitama 351–01

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  • Impurity Scattering in Carbon Nanotubes

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Abstract

The effective potential of an impurity in a k·p scheme is derived in two-dimensional graphite sheet.When the potential range is smaller than the lattice constant, it has an off-diagonal matrix element between K and K′ points comparable to the diagonal element.With the increase of the range, this off-diagonal element decreases rapidly and the diagonal element for envelopes at A and B sites becomes identical.The crossover between these two regimes occurs around the range smaller than the lattice constant.In the latter regime, back scattering between states with +k and -k vanishes identically for the bands crossing the Fermi level in the absence of a magnetic field, leading to an extremely large conductivity.The absence of the back scattering disappears in magnetic fields, giving rise to a huge positive magnetoresistance.

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