TY - JOUR
T1 - Asymmetric velocities of Dirac particles and Vernier spectrum in metallic single-wall carbon nanotubes
AU - Izumida, W.
AU - Vikström, A.
AU - Saito, R.
N1 - Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2012/4/16
Y1 - 2012/4/16
N2 - Left- and right-going Dirac particles near the K (or K ′) point in the two-dimensional Brillouin zone have different velocities in metallic single-wall carbon nanotubes. The metallic linear energy band is tilted by a curvature effect of the nanotube. The difference of the velocities is calculated by a numerical calculation and by an effective mass theory. Tilting as well as warping of the Dirac cones explains the diameter and chirality dependences of the velocities quantitatively. The asymmetric velocities give a "vernier" spectrum of an electron in a nanotube quantum dot with a sharp confinement potential containing two different sequences of levels, which is relevant to the lifting of the fourfold degeneracy of the energy levels.
AB - Left- and right-going Dirac particles near the K (or K ′) point in the two-dimensional Brillouin zone have different velocities in metallic single-wall carbon nanotubes. The metallic linear energy band is tilted by a curvature effect of the nanotube. The difference of the velocities is calculated by a numerical calculation and by an effective mass theory. Tilting as well as warping of the Dirac cones explains the diameter and chirality dependences of the velocities quantitatively. The asymmetric velocities give a "vernier" spectrum of an electron in a nanotube quantum dot with a sharp confinement potential containing two different sequences of levels, which is relevant to the lifting of the fourfold degeneracy of the energy levels.
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U2 - 10.1103/PhysRevB.85.165430
DO - 10.1103/PhysRevB.85.165430
M3 - Article
AN - SCOPUS:84860259988
VL - 85
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
SN - 0163-1829
IS - 16
M1 - 165430
ER -