| 纳米晶体线的晶格动力学格林函数及晶格振动 |
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| 引用本文： | 黄建平,吴学忠,李圣怡.纳米晶体线的晶格动力学格林函数及晶格振动[J].原子与分子物理学报,2006,23(2):300-304. |
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| 作者姓名： | 黄建平 吴学忠 李圣怡 |
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| 作者单位： | 国防科技大学微米纳米机电中心,长沙,410073 |
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| 基金项目： | 国家自然科学基金(50375154)，武器装备预研基金(51418070103KG0149) |
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| 摘 要： | 通过求解差分方程,推导了纳米晶体线的晶格动力学格林函数,分析了其晶格振动,并推导了声子数表象中的原子位移及晶格振动哈密顿公式.研究结果表明,纳米晶体线的晶格振动能带分裂为一系列的子带,格波只能沿纳米晶体线的纵向传播,沿纳米晶体线的横截面只存在驻波.
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| 关 键 词： | 纳米晶体线 晶格动力学 晶格振动 格林函数 |
| 文章编号： | 1000-0364（2006）02-0300-05 |
| 收稿时间： | 2/4/2005 12:00:00 AM |
| 修稿时间： | 2005-02-04 |
Lattice dynamics green's functions and lattice vibrations of crystal nano-wires |
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| HUANG Jian-ping,WU Xue-zhong,LI Sheng-yi.Lattice dynamics green''s functions and lattice vibrations of crystal nano-wires[J].Journal of Atomic and Molecular Physics,2006,23(2):300-304. |
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| Authors: | HUANG Jian-ping WU Xue-zhong LI Sheng-yi |
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| Institution: | MEMS/NEMS Research Center, National University of Defense Science and Technology, Changsha 410073 ,P. R. China |
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| Abstract: | The difference equation for lattice dynamics Green's functions of a crystal nano-wire are solved,the lattice vibrations are analyzed,and the formulas for atomic displacements and Hamiltonian in phonon occupation number representation are obtained.The results show that there are a series of phonon energy sub-bands in a crystal nano-wire instead of the unique continue phonon energy band in a bulk crystal,the lattice vibration waves along a crystal nano-wire are propagation waves,and the lattice vibration waves along the transversal cross section of a crystal nano-wire are standing waves. |
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| Keywords: | Crystal nano-wire lattice dynamics lattice vibation Green's function |
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