TY - JOUR
T1 - Long-wavelength optical phonons in single-walled boron nitride nanotubes
AU - Zhang, Shengli
AU - Liu, Yachao
AU - Xia, Minggang
AU - Zhang, Lei
AU - Zhang, Erhu
AU - Liang, Run
AU - Zhao, Shumin
PY - 2008/12/15
Y1 - 2008/12/15
N2 - A unified macroscopic continuum model is proposed to calculate the long-wavelength optical phonons of single-walled boron nitride nanotubes. The effect of the polarity in the boron nitride nanotubes on optical vibrations is considered by this model. We obtain the dispersion relation of the optical phonons. The avoided crossing between longitudinal and transverse optical phonon branches arises from the indirectly coupling between different phonon branches. The diameter dependence of the optical phonon frequency is derived. Our results are in agreement well with the experiment ones [R. Arenal, A.C. Ferrari, S. Reich, L. Wirtz, J.-Y. Mevellec, S. Lefrant, A. Rubio, A. Loiseau, Nano Lett. 6 (2006) 1812].
AB - A unified macroscopic continuum model is proposed to calculate the long-wavelength optical phonons of single-walled boron nitride nanotubes. The effect of the polarity in the boron nitride nanotubes on optical vibrations is considered by this model. We obtain the dispersion relation of the optical phonons. The avoided crossing between longitudinal and transverse optical phonon branches arises from the indirectly coupling between different phonon branches. The diameter dependence of the optical phonon frequency is derived. Our results are in agreement well with the experiment ones [R. Arenal, A.C. Ferrari, S. Reich, L. Wirtz, J.-Y. Mevellec, S. Lefrant, A. Rubio, A. Loiseau, Nano Lett. 6 (2006) 1812].
KW - Boron nitride nanotube
KW - Continuum model
KW - Dispersion relation
KW - Optical phonon
UR - https://www.scopus.com/pages/publications/56449095348
U2 - 10.1016/j.physb.2008.09.010
DO - 10.1016/j.physb.2008.09.010
M3 - 文章
AN - SCOPUS:56449095348
SN - 0921-4526
VL - 403
SP - 4196
EP - 4201
JO - Physica B: Condensed Matter
JF - Physica B: Condensed Matter
IS - 23-24
ER -