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Intraband electron-phonon scattering in single-walled carbon nanotubes

Intraband electron-phonon scattering in single-walled carbon nanotubes The intraband electron-phonon matrix elements of all single-walled carbon nanotubes in the radius range from 3.5 to 12 Å were calculated within a nonorthogonal tight-binding model of the electronic band structure. All possible scattering processes for all phonons allowed by the selection rules were considered. The matrix elements for scattering by tangential optical phonons in the linear bands of armchair nanotubes are nonzero for either forward or backward scattering and tend to 12.8 eV ∕ Å (intravalley) and 18.1 eV ∕ Å (intervalley) in the large-radius limit. For scattering in the lowest-energy parabolic conduction band of any nanotube, the matrix elements have large-radius limits of 9.2 eV ∕ Å (intravalley) and 13.4 eV ∕ Å (armchair, intervalley). For twist and longitudinal acoustic phonons, they depend on the chiral angle θ as sin 3 θ and cos 3 θ in the large-radius limit. While the matrix elements show radius and chirality dependence, the scattering lengths are almost nanotube independent. For medium-radius metallic tubes, the scattering length in linear bands is 1.0 – 1.6 μ m (acoustic phonons), 0.16 μ m (longitudinal optical phonons), and 0.06 μ m ( A 1 ′ K -point phonons). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

Intraband electron-phonon scattering in single-walled carbon nanotubes

Popov, Valentin N; Lambin, Philippe N
Physical Review B , Volume 74 (7) – Aug 15, 2006
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Publisher
American Physical Society (APS)
Copyright
Copyright © 2006 The American Physical Society
ISSN
1550-235X
DOI
10.1103/PhysRevB.74.075415
Publisher site
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Abstract

The intraband electron-phonon matrix elements of all single-walled carbon nanotubes in the radius range from 3.5 to 12 Å were calculated within a nonorthogonal tight-binding model of the electronic band structure. All possible scattering processes for all phonons allowed by the selection rules were considered. The matrix elements for scattering by tangential optical phonons in the linear bands of armchair nanotubes are nonzero for either forward or backward scattering and tend to 12.8 eV ∕ Å (intravalley) and 18.1 eV ∕ Å (intervalley) in the large-radius limit. For scattering in the lowest-energy parabolic conduction band of any nanotube, the matrix elements have large-radius limits of 9.2 eV ∕ Å (intravalley) and 13.4 eV ∕ Å (armchair, intervalley). For twist and longitudinal acoustic phonons, they depend on the chiral angle θ as sin 3 θ and cos 3 θ in the large-radius limit. While the matrix elements show radius and chirality dependence, the scattering lengths are almost nanotube independent. For medium-radius metallic tubes, the scattering length in linear bands is 1.0 – 1.6 μ m (acoustic phonons), 0.16 μ m (longitudinal optical phonons), and 0.06 μ m ( A 1 ′ K -point phonons).

Journal

Physical Review B – American Physical Society (APS)

Published: Aug 15, 2006

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