论文标题
通过谐振水平的连贯运输，耦合到随机矩阵铅
Coherent transport through a resonant level coupled to random-matrix leads
论文作者
论文摘要
我们研究通过谐振水平的传输，结合了两个导线，后者由Wigner的随机矩阵描述。通过在达到长时间限制之前采取适当的热力学极限，我们获得固定电流作为电压偏置的函数。 I-V曲线与单个杂质Anderson模型相似。另一方面，我们模型中的当前矩阵和初始密度矩阵看起来像哈密顿量本特征的随机矩阵。他们分别满足特征态热假说（ETH）和非平衡稳态假说（NESSH）的描述。基于ETH和NESSH得出了电流的统计公式（J.Stat。Mech。：Theo。Exp。，093105（2017））。我们在我们的模型中检查此公式，并发现它可以预测固定电流至高精度。 I-V曲线的形状是由NESSH特征函数中的峰结构解释的，NESSH的特征函数让人联想到透射系数。
We study the transport through a resonant level coupled to two leads with the latter being described by Wigner's random matrices. By taking appropriate thermodynamic limit before taking the long time limit, we obtain the stationary current as a function of voltage bias. The I-V curve is similar to that of single impurity Anderson model. On the other hand, the current matrix and initial density matrix in our model look like random matrices in the eigenbasis of Hamiltonian. They satisfy the description of eigenstate thermalization hypothesis (ETH) and nonequilibrium steady state hypothesis (NESSH), respectively. A statistical formula of current has been derived based on ETH and NESSH (J. Stat. Mech.: Theo. Exp., 093105 (2017)). We check this formula in our model and find it to predict the stationary current to a high precision. The shape of I-V curve is explained by the peak structure in the characteristic function of NESSH, which is reminiscent of the transmission coefficient.
