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arXiv 0908.1399cond-mat.mes-hall
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碳纳米管中$K$动量暗激子的手征依赖性

Chirality Dependence of the $K$-Momentum Dark Excitons in Carbon Nanotubes

P. M. Vora, X. Tu, E. J. Mele, M. Zheng, J. M. Kikkawa

摘要:

使用12个半导体碳纳米管样品的集合,每个样品高度富集在一个单一的手性,我们研究了手性依赖的$K$动量暗单态激子声子边带光谱。明亮的吸收和发射边带的有限动量激子的测量确定其能量为20 - 38毫电子伏以上的明亮的单重态激子,分离表现出系统的依赖性管直径,$2n+m$家庭,和半导体类型。我们目前的计算,解释如何在这种能量分离的手征角的依赖关系的库仑交换相互作用,并阐述了主导地位的$K_{A_1'}$声子边带的区域中心声子边带在很宽的手征。从这些数据中产生的Kataura图定性地很好地描述了理论,但边带之间的能量分离显示出比预测更大的手性依赖性。后一种观察结果可能表明,在$K$点附近的相关声子的色散比从有限距离力模型中预期的要大。

英文摘要:

Using a collection of twelve semiconducting carbon nanotube samples, each highly enriched in a single chirality, we study the chirality dependence of the $K$-momentum dark singlet exciton using phonon sideband optical spectroscopy. Measurements of bright absorptive and emissive sidebands of this finite momentum exciton identify its energy as 20 - 38 meV above the bright singlet exciton, a separation that exhibits systematic dependencies on tube diameter, $2n+m$ family, and semiconducting type. We present calculations that explain how chiral angle dependence in this energy separation relates to the Coulomb exchange interaction, and elaborate the dominance of the $K_{A_1'}$ phonon sidebands over the zone-center phonon sidebands over a wide range of chiralities. The Kataura plot arising from these data is qualitatively well described by theory, but the energy separation between the sidebands shows a larger chiral dependence than predicted. This latter observation may indicate a larger dispersion for the associated phonon near the $K$ point than expected from finite distance force modeling.

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