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Odom, T.W.1
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To get a feeling for the connection between the description of the band structure using the translational and primitive unit cell one can use the MATHEMATICA program: atomic and electronic structure of carbon nanotubes, by M. Brandbyge, found at http://library.wolfram.com/infocenter/MathSource/384/.
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Brandbyge, M.1
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110
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20144364957
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note
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Note that graphene has six zeros all at the FBZ boundary and these are given in three pairs connected by reciprocal lattice vectors of graphene.
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111
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20144362758
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note
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We only have numerical proof for this property, found by trying all combinations of n,m≤100.
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113
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W. Que, Phys. Rev. B 66, 193405 (2002).
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