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arXiv 1008.1126cond-mat.mes-hall
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碳原子链中的长程相互作用

Long ranged interactions in carbon atomic chains

S. Cahangirov, M. Topsakal, S. Ciraci

摘要:

基于第一性原理计算,我们揭示了无限和有限尺寸碳原子单原子链在平衡状态和外加应变下的基本性质。原子位置的键长和磁矩的分布表现出有趣的奇偶差异,这取决于链中碳原子的数量和两端碳原子饱和的类型。结果表明,碳原子链的$π$带表现为一维自由电子体系。由长链中心的单个碳原子的小位移产生的局部扰动引起原子力和电荷密度的振荡,这些振荡在链上被带到很长的距离。这些长程振荡被确定为Friedel振荡,显示了一维系统中$1/r$的衰减速率。

英文摘要:

Based on first-principles calculations we revealed fundamental properties of infinite and finite size monatomic chains of carbon atoms in equilibrium and under an applied strain. Distributions of bond lengths and magnetic moments at atomic sites exhibit interesting even-odd disparity depending on the number of carbon atoms in the chain and on the type of saturation of carbon atoms at both ends. It was shown that, the $π$-bands of carbon atomic chains behave as a one dimensional free electron system. A local perturbation created by a small displacement of the single carbon atom at the center of a long chain induces oscillations of atomic forces and charge density, which are carried to long distances over the chain. These long ranged oscillations are identified as Friedel oscillations showing $1/r$ decay rate in one dimensional systems.

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