正多边形量子环自旋输运的严格解

Exact solutions to the transportation of electrons through equilateral polygonal quantum rings with Rashba spin-orbit interaction

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 quantum transportation of electron through equilateral polygonal quantum rings with Rashba spin-orbit interaction is studied.By using the typical method of quantum network and the Landauer-Büttiker formalism,we solve analytically the scattering problem of electron through any equilateral polygonal quantum ring,and obtain the relevant formula for spin transportation conductance.The characters of conductance varying with wave-vector of electron and the strength of spin-orbit interaction are investigated,and the series of zero conductance points originating from spin-orbit interaction is determined.In the limit of infinite number of borders of equilateral polygon,we prove that the formula is consistent with the results obtained directly from the circular model of quantum rings.