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The band gap scaling laws in group IV nanotubes

Wang, C; Fu, X; Guo, Y; Guo, Z; Xia, C; Jia, Y; (2017) The band gap scaling laws in group IV nanotubes. Nanotechnology , 28 (11) , Article 115202. 10.1088/1361-6528/aa5b3e. Green open access

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Abstract

By using the first-principles calculations, the band gap properties of nanotubes formed by group IV elements have been investigated systemically. Our results reveal that for armchair nanotubes, the energy gaps at K points in the Brillouin zone decrease as 1/r scaling law with the radii (r) increasing, while they are scaled by −1/r 2 + C at Γ points, here, C is a constant. Further studies show that such scaling law of K points is independent of both the chiral vector and the type of elements. Therefore, the band gaps of nanotubes for a given radius can be determined by these scaling laws easily. Interestingly, we also predict the existence of indirect band gap for both germanium and tin nanotubes. Our new findings provide an efficient way to determine the band gaps of group IV element nanotubes by knowing the radii, as well as to facilitate the design of functional nanodevices.

Type: Article
Title: The band gap scaling laws in group IV nanotubes
Location: England
Open access status: An open access version is available from UCL Discovery
DOI: 10.1088/1361-6528/aa5b3e
Publisher version: http://dx.doi.org/10.1088/1361-6528/aa5b3e
Keywords: band gap scaling law, group IV elements, nanotube
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Chemistry
URI: https://discovery.ucl.ac.uk/id/eprint/1538448
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