2024-03-29T15:08:36Zhttp://digital.csic.es/dspace-oai/requestoai:digital.csic.es:10261/1403472017-12-18T12:56:33Zcom_10261_135com_10261_4col_10261_388
Low-frequency phonons in carbon nanotubes: A continuum approach
Chico, Leonor
Pérez-Álvarez, R.
Cabrillo García, Carlos
Ministerio de Educación y Ciencia (España)
Universidad de Castilla La Mancha
7 págs.; 6 figs.; 2 apéndices ; PACS number s : 68.65. k, 63.22. m
Low-frequency phonons in carbon nanotubes are studied using a continuum model which allows consideration of an arbitrary wall thickness for the nanotube. Phonon dispersion relations are calculated for two archetypal examples of carbon nanotubes, the (5,5) and (10,10) tubes. The dependence of the radial breathing mode frequency at Γ on the inverse nanotube diameter is verified within this model; furthermore, we prove it to hold for all pure modes within the thin-shell approximation. The effect of the nanotube wall thickness on the eigenfrequencies of carbon nanotubes is also analyzed, and a criterion to fix this parameter within a continuum model is presented. We compare our results to other continuum approaches, and show that by choosing the appropriate parameters, excellent agreement with recent first-principles calculations can be achieved. © 2006 The American Physical Society.
This work has been partly supported by the Spanish DGES Grant No. MAT
2002-04540-C05-03 and the Vicerrectorado de Relaciones
Internacionales UCLM.
Peer Reviewed
2016-11-17T09:44:55Z
2016-11-17T09:44:55Z
2006-02-17
2016-11-17T09:44:56Z
artículo
http://purl.org/coar/resource_type/c_6501
doi: 10.1103/PhysRevB.73.075425
issn: 1098-0121
Physical Review B - Condensed Matter and Materials Physics 73: 075425 (2006)
http://hdl.handle.net/10261/140347
10.1103/PhysRevB.73.075425
http://dx.doi.org/10.13039/501100007480
Publisher's version
https://doi.org/10.1103/PhysRevB.73.075425
Sí
open
American Physical Society