The effects of lead positions and lead-ring coupling regimes are investigated for spin-related transport through a two-dimensional network of quantum nanorings (2DNQRs) considering Rashba spin–orbit interaction (RSOI) and magnetic flux. A matrix representation of the transmission and reflection coefficients through a single ring connected to the arbitrary number of leads has been introduced. As a specific example of 2DNQRs, the conductance, spin polarization and system efficiency are obtained via a triangular network of quantum rings (TNQRs). TNQRs are completely opaque or transparent versus RSOI strength and wave vector (k) of the incident electron. The periodicity of these functions along the k axis depends on the lead positions and is independent of lead-ring coupling. Also, the symmetric geometry and strong lead-ring coupling regime significantly improve the performance of the system as a multipurpose spintronic device (i.e., a perfect spin filter, spin splitter, spin switching, Stern–Gerlach device and an electronic switching device).

中文翻译：

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在存在Rashba自旋-轨道相互作用的情况下，量子纳米环的二维网络中铅位置和铅环耦合对自旋依赖性输运性质的影响

考虑到Rashba自旋-轨道相互作用（RSOI）和磁通量，研究了通过纳米量子二维环（2DNQRs）的自旋相关输运的铅位置和铅-环耦合方式的影响。已经介绍了通过连接到任意数量导线的单个环的透射系数和反射系数的矩阵表示。作为2DNQRs的一个具体示例，可通过量子环三角网（TNQRs）获得电导率，自旋极化和系统效率。TNQR与入射电子的RSOI强度和波矢（k）完全不透明或透明。这些函数沿k的周期性轴取决于导线位置，并且与导线环耦合无关。同样，对称的几何形状和强大的引线环耦合机制也显着提高了作为多功能自旋电子设备（即，完美的自旋滤波器，自旋分离器，自旋开关，斯特恩-格拉拉赫设备和电子开关设备）的系统性能。