In this paper, we apply Andreev’s reflection to study the sub-gap coherent transport properties for a quantum dot attached to normal metal and superconductor reservoirs via non-ideal leads. We use the random matrix theory to obtain numerically the conductance and shot noise power probability densities varying the transparencies and the number of open scattering channels in each lead for the three Wigner–Dyson ensembles. We obtain results from the extreme quantum limit (where the conductance is of the order of 2e ²/h, the quantum of conductance) to the semiclassical regime (conductance much larger than 2e ²/h). We observe the appearance of non-analyticities in these probability densities and an interesting invariance break under the operation of exchanging the lead labels when time-reversal symmetry is absent.

在本文中，我们应用安德列夫（Andreev）的反射来研究通过非理想引线连接到普通金属和超导体储层的量子点的亚间隙相干输运性质。我们使用随机矩阵理论以数字方式获得三个Wigner-Dyson集成的电导率和散粒噪声功率概率密度，这些密度会改变透明度和每根引线中开放散射通道的数量。我们从极端量子极限（电导为2 e ² / h，电导的量子量级）到半经典状态（电导远远大于2 e ² / h）获得结果）。我们观察到在这些概率密度中出现非解析性，并且在缺少时间反转对称性的情况下，在交换引线标签的操作下出现了有趣的不变性中断。