Spin coherence of carbon nanotubes

考虑了碳纳米管表面的曲率和自旋-轨道相互作用，用数值方法和解析方法研究了碳纳米管中的电子态。研究了有限长碳纳米管中同谷左右波速差、类游标谱和自旋轨道分裂等现象。这些特征揭示了低温下的电子态，这是传统的山谷简并图像所不能捕捉到的。本研究提供的知识将为理解碳纳米管中的自旋动力学、自旋弛豫、自旋对输运性质的影响以及自旋的控制提供重要方面。

Electronic states in the carbon nanotubes have been investigated by numerical and analytical methods which take into account the curvature of tube surface and the spin-orbit interaction. Velocity difference between the left- and right-going waves in the same valley, vernier-like spectrum and spin-orbit splitting in finite-length carbon nanotubes have been shown. These features uncover the electronic states in low temperature which are not able to be captured by the conventional picture of the valley degeneracy. The knowledge given in this research will give important aspect to understand the dynamics of spin, relaxation of spin, effect of spin in transport properties, and the controling of the spin in the carbon nanotubes.