Charge and spin transfer statistics in complex nanostructures

我们打算研究具有复杂拓扑结构的纳米结构在非平衡条件下的电荷和自旋输运的全计数统计（又名FCS）性质。所讨论的纳米结构是：（i）耦合到两个电极的单杂质Andersonmodel（SIAM），其中电子传输不仅可以通过杂质本身的隧穿发生，而且可以直接在电极之间发生;（ii）由两个平行排列的SIAM模拟的双量子点。包括一个磁场，预计将导致Aharonov-Bohm物理在这两个设置允许其传输特性的可控性。虽然在设置中（i）我们希望观察到法诺-安德森效应和点上相互作用的相互作用的明显特征，但在设置中（ii）相互作用和阿哈罗诺夫-玻姆物理学的综合效应可能会改变甚至破坏单粒子之间的平衡从传统SIAM的FCS中已知的电子对过程。

We intend to investigate the transport properties of nanostructures with complex topologiesunder non-equilibrium conditions in terms of the full counting statistics (aka FCS) of chargeand spin transport. The nanostructures in question are: (i) the single impurity Andersonmodel (SIAM) coupled to two electrodes, where the electron transport can occur not onlyby tunnelling over the impurity itself but also directly between the electrodes; (ii) doublequantum dot modelled by two SIAMs arranged in parallel. An inclusion of a magneticfield is expected to lead to Aharonov-Bohm physics in both set-ups allowing for a uniquecontrol of their transport characteristics. While in the set-up (i) we expect to observe distinctsignatures of the interplay of Fano–Anderson effect and interaction on the dot, in the setup(ii) the combined effect of interactions and Aharonov–Bohm physics may alter or evendestroy the balance between the single particle and electron pair processes known fromthe FCS of the conventional SIAM.