CNT Bands Learning Materials

by Denis Areshkin

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1 There is plenty of material on detailed history of nanotubes discovery (Wikipedia is one of the examples). However, one interesting, but not widely known historical fact is that the possibility of nanotubes existence was predicted with the help of computer simulations by C.T. White (Naval Research Lab, Washington DC, USA) simultaneously with their experimental observation by S. Iijima (NEC Corporation, Tsukuba, Japan). The research of C.T. White was conducted in attempt to find 1-dimensional truly metallic systems, i.e. a structure(s) not susceptible to Jahn-Teller distortion, which breaks the symmetry of the system and opens a finite (though some times very small) band gap. 15 years later C.T. White (privately) claimed that carbon nanotubes are the only truly metallic 1D systems and the existence of other 1D systems is unlikely. This exeptional property of nanotubes
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3 has reported his findings at the last day of APS March meeting in 1991.
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is a test [[Image(PotentialScan_HelicalCNT.jpg)]]
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is a test [[Image(PotentialScan_HelicalCNT.jpg)]]
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<math>n_{{\bf i}\sigma} = \langle \hat{c}_{{\bf i}\sigma}^{\dag} \hat{c}_{{\bf i}\sigma} \rangle</math>