Transport properties in multi-terminal regular polygonal quantum ring with Rashba spin-orbit coupling

Transport properties in multi-terminal regular polygonal quantum ring with Rashba spin-orbit coupling (SOC) are investigated analytically using quantum networks and transport matrix method. The results show that conductances remain at exactly the same values when the output leads are located at axisymmetric positions. However, for the nonaxisymmetrical case, there is a phase difference between the upper and lower arm, which leads to zero conductances appearing periodically. An isotropy of the conductance is destroyed by the Rashba SOC effect in the axisymmetric case. In addition, the position of zero conductance is regulated with the strength of the Rashba SOC.