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Symmetry of boundary conditions of the Dirac equation for electrons in carbon nanotubes.

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Symmetry of boundary conditions of the Dirac equation for electrons in carbon nanotubes. / McCann, Edward; Fal’ko, Vladimir I.
In: Journal of Physics: Condensed Matter, Vol. 16, No. 13, 07.04.2004, p. 2371-2379.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

McCann, E & Fal’ko, VI 2004, 'Symmetry of boundary conditions of the Dirac equation for electrons in carbon nanotubes.', Journal of Physics: Condensed Matter, vol. 16, no. 13, pp. 2371-2379. https://doi.org/10.1088/0953-8984/16/13/016

APA

McCann, E., & Fal’ko, V. I. (2004). Symmetry of boundary conditions of the Dirac equation for electrons in carbon nanotubes. Journal of Physics: Condensed Matter, 16(13), 2371-2379. https://doi.org/10.1088/0953-8984/16/13/016

Vancouver

McCann E, Fal’ko VI. Symmetry of boundary conditions of the Dirac equation for electrons in carbon nanotubes. Journal of Physics: Condensed Matter. 2004 Apr 7;16(13):2371-2379. doi: 10.1088/0953-8984/16/13/016

Author

McCann, Edward ; Fal’ko, Vladimir I. / Symmetry of boundary conditions of the Dirac equation for electrons in carbon nanotubes. In: Journal of Physics: Condensed Matter. 2004 ; Vol. 16, No. 13. pp. 2371-2379.

Bibtex

@article{5495f5807c2840c2a81946f7c86ef275,
title = "Symmetry of boundary conditions of the Dirac equation for electrons in carbon nanotubes.",
abstract = "We consider the effective mass model of spinless electrons in single wall carbon nanotubes that is equivalent to the Dirac equation for massless fermions. Within this framework we derive all possible energy independent hard wall boundary conditions that are applicable to metallic tubes. The boundary conditions are classified in terms of their symmetry properties and we demonstrate that the use of different boundary conditions will result in varying degrees of valley degeneracy breaking of the single particle energy spectrum.",
author = "Edward McCann and Fal{\textquoteright}ko, {Vladimir I.}",
year = "2004",
month = apr,
day = "7",
doi = "10.1088/0953-8984/16/13/016",
language = "English",
volume = "16",
pages = "2371--2379",
journal = "Journal of Physics: Condensed Matter",
issn = "0953-8984",
publisher = "IOP Publishing Ltd",
number = "13",

}

RIS

TY - JOUR

T1 - Symmetry of boundary conditions of the Dirac equation for electrons in carbon nanotubes.

AU - McCann, Edward

AU - Fal’ko, Vladimir I.

PY - 2004/4/7

Y1 - 2004/4/7

N2 - We consider the effective mass model of spinless electrons in single wall carbon nanotubes that is equivalent to the Dirac equation for massless fermions. Within this framework we derive all possible energy independent hard wall boundary conditions that are applicable to metallic tubes. The boundary conditions are classified in terms of their symmetry properties and we demonstrate that the use of different boundary conditions will result in varying degrees of valley degeneracy breaking of the single particle energy spectrum.

AB - We consider the effective mass model of spinless electrons in single wall carbon nanotubes that is equivalent to the Dirac equation for massless fermions. Within this framework we derive all possible energy independent hard wall boundary conditions that are applicable to metallic tubes. The boundary conditions are classified in terms of their symmetry properties and we demonstrate that the use of different boundary conditions will result in varying degrees of valley degeneracy breaking of the single particle energy spectrum.

U2 - 10.1088/0953-8984/16/13/016

DO - 10.1088/0953-8984/16/13/016

M3 - Journal article

VL - 16

SP - 2371

EP - 2379

JO - Journal of Physics: Condensed Matter

JF - Journal of Physics: Condensed Matter

SN - 0953-8984

IS - 13

ER -