Exciton States in Narrow-Gap Carbon Nanotubes
Progress in Applied Mathematics in Science and Engineering Proceedings (AIP Conference Proceedings)
American Institute of Physics
This is the final version of the article. Available from AIP via the DOI in this record.
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Quasi-exact solutions to the quantum relativistic two-body problem are obtained for a one-dimensional Woods-Saxon-like potential. The quantised positive energy spectrum is obtained in the square well potential limit in terms of a set of simple transcendental equations. This potential is used to calculate excitonic states in narrow-gap single-walled carbon nanotubes and the binding energy is shown to scale with the band gap.
This work was supported by the EU H2020 RISE project CoExAN (Grant No. H2020-644076), EU FP7 ITN NOTEDEV (Grant No. FP7-607521), FP7 IRSES projects CANTOR (Grant No. FP7-612285), QOCaN (Grant No. FP7-316432), and InterNoM (Grant No. FP7-612624). R.R.H. acknowledges financial support from URCO (Grant No. 15 F U/S 1TAY13-1TAY14) and Research Links Travel Grant by the British Council Newton Fund.
AIP Conference Proceedings 1705, 020046 (2016)