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研究了存在Rashba自旋轨道相互作用的正多边形量子环的自旋输运特性.采用量子网络的典型方法和Landauer-Büttiker电导公式,严格求解了电子通过正多边形量子环的散射问题,并得到了电导的解析表达式.通过数值计算和解析分析,进一步研究了量子环电导随电子波矢和自旋轨道相互作用强度变化的复杂形式,包括源于自旋轨道耦合相互作用的电导零点系列.特别地,还研究了正多边形环的边数趋近于无穷的极限情形,与直接采用圆环模型获得的结果完全一致.
The spin transport properties of regular polygonal quantum rings with Rashba spin-orbit interactions are investigated. By using the typical method of quantum networks and the Landauer-Büttiker conductance equation, the problem of electron scattering through the regular polygon ring is solved strictly. The analytical expression of conductance is further studied by means of numerical calculation and analytical analysis, and the complex forms of quantum ring conductance with the change of intensity of the electron wave vector and the spin-orbit interaction are further studied, including the series of conductance zero-points from the spin-orbit coupling interaction In addition, the limit of the number of regular polygon rings approaching infinity is also studied, which is in good agreement with the result obtained by using the circular model directly.