An analysis of the spin-dependent electron transport in open quantum systems by using many-electron scattering eigenstates

通过构造精确的多电子散射本征态，研究了开放量子点系统中的输运性质和共振现象。首先，我们研究了平行耦合双量子点系统，得到了精确的双电子散射本征态。我们发现，作为库仑相互作用的结果，两体束缚态出现在散射态。我们还发现，两体束缚态可以解释为共振态和反共振态对。接下来，我们研究了相互作用的共振能级模型所描述的系统中的电子输运。通过使用扩展的Landauer公式，我们计算的平均电流的系统下偏置电压的相互作用参数的第一顺序。我们观察到对于大偏置电压的电流抑制，即，负微分电导，以及由于系统的不对称性而恢复被抑制的电流。

We investigate the transport properties and the resonant phenomena in open quantum-dot systems by constructing exact many-electron scattering eigenstates. First, we study a parallel-coupled double quantum-dot system and obtain the exact two-electron scattering eigenstates. We find that, as a result of the Coulomb interactions, two-body bound states appear in the scattering states. We also find that the two-body bound states are interpreted as pairs of the resonant states and the anti-resonant states. Next, we study the electron transport in the systems described by the interacting resonant-level models. By using an extension of the Landauer formula, we calculate the average electric current for the system under bias voltages in the first order of the interaction parameters. We observe the suppression of the electric current for large bias voltages, i.e., negative differential conductance, and the restoration of the suppressed electric current due to the asymmetry of the systems.