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6
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84926602057
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J. ,M. Ziman, Electrons and Phonons (Cambridge University Press, Cambridge, 1960).
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7
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84926554151
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There are actually two places in the Brillouin zone where bands cross the Fermi level, giving rise to two disconnected regions of Fermi surface. We consider only one in this discussion. The inclusion of ``intervalley'' scattering processes is straightforward, and does not affect our conclusions.
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8
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84926595975
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We have implicitly assumed that the scattering mechanism is elastic.
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12
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84926568411
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The sensitivity of density of states to radius and/or Fermi level arises because the graphite sheet Fermi surface is much smaller than its Brillouin zone.
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17
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84926559137
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These authors measure the conductivity of turbostratic graphite to be below that of ABAB stacking graphite. They argue that disorder induced weak localization is partly responsible for the decreased conductivity.
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22
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84926598585
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This increase in electron phonon coupling in the tube is a particular instance of the general trend for electron phonon matrix elements to be larger in systems with more spatial structure in the electron ion potential.
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23
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84926559175
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We use the first and second neighbor Slater Koster parameters of, Ref. 4, In a simple continuum approximation one would also obtain a hybridization for the tube which is half that in C60, since a tube is curved in only one of the two orthogonal directions. This agreement appears to be fortuitous, however, because the hybridization in the C60 highest occupied molecular orbital (HOMO) for the tight binding calculation is significantly less than one half. The weaker hybridization in the HOMO implies that Tc for a hypothetical acceptor doped C60 would be substantially lower than Tc for alkali doped C60.
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25
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84926604470
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M. Z. Huang, Y. N. Xu, and W. Y. Cing, Phys. Rev. B 46, 6572;
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30
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84926580142
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At a fixed level of doping per carbon atom, a smaller tube may have a lower density of states at the Fermi energy, since the Fermi level in the smaller tube generally crosses bands of larger disperion. However, the actual experimentally realizable doping levels of different sized nanotubes is a complex issue best answered by experiment. For illustrative purposes, we make the assumption of constant density of states independent of tube radius.
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34
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84926546298
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P. B. Allen and B. Mitrovic, Solid State Physics: Advanced in Research and Applications (Academic Press, New York, 1982), Vol. 37.
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35
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84926601535
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Strictly speaking, the curvature induced contributions to the electron phonon coupling are not uniform in frequency, but instead are skewed towards the lower frequency, predominately radial phonon modes. This approximation does not substantively alter the results.
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