Theoretical study of multi-terminal quantum dot: proposal of tunable spin Hall effect

从理论上研究了半导体上多端量子点的物理现象。(1)利用自旋轨道相互作用的多端量子点，发现自旋霍尔效应产生自旋极化电流。自旋极化比可通过栅极电压进行电调谐。(2)在嵌入小环的量子点中研究了近藤效应。我们已经阐明了环尺寸对近藤效应、输运性质中的非弹性过程以及在多端几何结构中检测到的电子相的信息的依赖。(3)在考虑自旋轨道相互作用的情况下，解释了InAs量子点中的各向异性g因子和InSb纳米线中观察到的异常约瑟夫森效应。

Physical phenomena have been theoretically investigated in multi-terminal quantum dots fabricated on semiconductors. (1) We have found the generation of spin-polarized current due to the spin Hall effect, using a multi-terminal quantum dot with spin-orbit interaction. The spin-polarization ratio is electrically tunable via gate voltages. (2) The Kondo effect has been studied in a quantum dot embedded in a small ring. We have elucidated the ring-size dependence of the Kondo effect, inelastic processes in transport properties, and information on the electron phase detected in the multi-terminal geometry. (3) The anisotropic g-factors in InAs quantum dot and anomalous Josephson effect observed in InSb nanowires have been explained, taking into account the spin-orbit interaction.