Broken symmetry, boundary conditions, and band-gap oscillations in finite single-wall carbon nanotubes
作者： Lei Liu , C. S. Jayanthi , H. Guo , S. Y. Wu
DOI: 10.1103/PHYSREVB.64.033414
关键词: Carbon nanotube 、 Boundary value problem 、 Band gap 、 Condensed matter physics 、 Symmetry breaking 、 Zigzag 、 Maxima 、 Symmetry (physics) 、 Amplitude 、 Physics
摘要: The interplay between the broken symmetry and boundary conditions alters profoundly electronic properties of carbon single-wall nanotubes (SWNTs) finite-lengths. For SWNTs $(p,q)$ characterized by $p=k+l,$ $q=k\ensuremath{-}l,$ $0l~ll~k,$ $k=1,2,\dots{},$ energy gaps for finite belonging to a given family k exhibit strikingly similar oscillating patterns even NT sections, but gap maxima different lengths periodicities with amplitudes oscillations diminishing from armchair, chiral, zigzag SWNTs.
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