Continuum model for long-wavelength phonons in two-dimensional graphite and carbon nanotubes

被引：58

作者：

Goupalov, SV ^{[1
]}

机构：

[1] Los Alamos Natl Lab, Div Theoret, Los Alamos, NM 87545 USA

[2] AF Ioffe Phys Tech Inst, St Petersburg 194021, Russia

来源：

PHYSICAL REVIEW B | 2005年 / 71卷 / 08期

关键词：

D O I：

10.1103/PhysRevB.71.085420

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A continuum model yielding dispersion relations for long-wavelength acoustic and optical phonons in two-dimensional graphite and achiral single-walled carbon nanotubes is developed. Close relations with the theory of thin elastic plates and cylindrical shells are established. The effective thickness of a nanotube determining the limits of validity of the continuum model is estimated. A qualitative analysis of vibrations of chiral nanotubes is presented.

引用

页数：7

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