螺旋状碳纳米管中的电子自旋轨道相互作用
Electron spin-orbit interaction in helically coiled carbon nanotube
摘要：
碳纳米管（CNT）的最新理论和实验工作表明，自旋轨道相互作用（SOI）比想象的更强大。受此启发，我们研究了SOI在螺旋线圈碳纳米管。计算是在紧束缚模型中进行的，其中包括一个四轨道基组，从而充分对称的螺旋晶格和杂交的$π$ \和$σ$带被认为是。利用么正变换和微扰方法，我们得到了螺旋形碳纳米管中扭转相关SOI的解析解。由于曲率和挠率的增强，计算的SOI值达到meV量级，这一点已被\textit{ab initio}电子结构计算所证实。
英文摘要：
Recent theoretical and experimental works on carbon nanotubes (CNTs) have revealed that spin-orbit interaction (SOI) is more robust than it was thought. Motivated by this, we investigate the SOI in helically coiled CNTs. Calculations are performed within the tight-binding model with the inclusion of a four-orbital basis set; thereby the full symmetry of the helical lattice and the hybridization of $π$\ and $σ$ bands are considered. By virtue of unitary transformation and perturbation approach, we obtain the analytic solution for the torsion-dependent SOI in helically coiled CNTs. Due to the enhancement of curvature and torsion, the calculated SOI values reach the order of meV which has been confirmed by \textit{ab initio} electronic structure calculation.
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