Nanocrystalline nanowires: 2. Phonons

被引：15

作者：

Allen, Philip B. ^{[1
]}

机构：

[1] SUNY Stony Brook, Dept Phys & Astron, Stony Brook, NY 11794 USA

[2] Brookhaven Natl Lab, Ctr Funct Nanomat, Upton, NY 11973 USA

来源：

NANO LETTERS | 2007年 / 7卷 / 01期

关键词：

D O I：

10.1021/nl062140y

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

Nanocrystalline nanowires (NCNW) are fragments of bulk crystals that are infinite in only one direction. A construction is given for calculating eigenstates belonging to the symmetry labels (k,m) (wavevector and rotational quantum number). Vibrational harmonic eigenstates are worked out explicitly for a simple model, illustrating the general results: the LA mode has m = 0, while with sufficient rotational symmetry, the TA branch is doubly degenerate, has m = +/- 1, and has quadratic dispersion with k for k less than the reciprocal diameter of the NCNW. The twiston branch (a fourth Goldstone boson) is an acoustic m = 0 branch, additional to the LA and two TA branches.

引用

页码：11 / 14

页数：4

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