Charge and spin transfer statistics in complex nanostructures

我们打算从电荷和自旋输运的全计数统计（FCS）角度研究具有复杂拓扑的纳米结构在非平衡条件下的输运性质。所讨论的纳米结构是：(i)耦合到两个电极上的单一杂质安德森模型（SIAM），其中电子传递不仅可以通过杂质本身的隧穿发生，也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。在这两种装置中，磁场的加入有望导致Aharonov-Bohm物理，从而允许对它们的输运特性进行独特的控制。虽然在设置(i)中，我们期望观察到Fano-Anderson效应和相互作用在点上的相互作用的明显特征，但在设置（ii）中，相互作用和Aharonov-Bohm物理的综合效应可能会改变甚至破坏传统SIAM的FCS已知的单粒子和电子对过程之间的平衡。

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.