论文标题
安德森（Anderson）过渡时三个经典的Wigner-dyson合奏的散射和运输特性
Scattering and transport properties of the three classical Wigner-Dyson ensembles at the Anderson transition
论文作者
论文摘要
在正交，统一和符号对称性的存在下，对幂律带的随机矩阵模型（PBRM）的散射和传输特性进行了广泛的数值分析。我们的结果表明，与金属制度中的现有分析表达式达成了良好的一致性，以及在正交和统一对称性存在下在PBRM模型研究中广泛使用的启发式关系。此外，我们的结果证实，可以通过测量散射和运输特性来探测临界时无序系统的多重分子行为，从实验的角度来看，这至关重要。因此，提供了与三个经典的Wigner-Dyson合奏相对应的PBRM模型的散射和传输特性的全图。
An extensive numerical analysis of the scattering and transport properties of the power-law banded random matrix model (PBRM) at criticality in the presence of orthogonal, unitary, and symplectic symmetries is presented. Our results show a good agreement with existing analytical expressions in the metallic regime and with heuristic relations widely used in studies of the PBRM model in the presence of orthogonal and unitary symmetries. Moreover, our results confirm that the multifractal behavior of disordered systems at criticality can be probed by measuring scattering and transport properties, which is of paramount importance from the experimental point of view. Thus, a full picture of the scattering and transport properties of the PBRM model at criticality corresponding to the three classical Wigner-Dyson ensembles is provided.
