Souza Andre M C, Almeida Guilherme M A, Mucciolo Eduardo R
Departamento de Física, Universidade Federal de Sergipe, 49100-000 São Cristóvão, SE, Brazil.
J Phys Condens Matter. 2020 Jul 1;32(28):285504. doi: 10.1088/1361-648X/ab8155.
We study two coupled 3D lattices, one of them featuring uncorrelated on-site disorder and the other one being fully ordered, and analyze how the interlattice hopping affects the localization-delocalization transition of the former and how the latter responds to it. We find that moderate hopping pushes down the critical disorder strength for the disordered channel throughout the entire spectrum compared to the usual phase diagram for the 3D Anderson model. In that case, the ordered channel begins to feature an effective disorder also leading to the emergence of mobility edges but with higher associated critical disorder values. Both channels become pretty much alike as their hopping strength is further increased, as expected. We also consider the case of two disordered components and show that in the presence of certain correlations among the parameters of both lattices, one obtains a disorder-free channel decoupled from the rest of the system.
我们研究了两个耦合的三维晶格，其中一个具有不相关的在位无序，另一个完全有序，并分析了晶格间跳跃如何影响前者的局域化 - 非局域化转变以及后者对此的响应。我们发现，与三维安德森模型的通常相图相比，适度的跳跃在整个频谱中降低了无序通道的临界无序强度。在这种情况下，有序通道也开始呈现有效无序，这也导致了迁移率边缘的出现，但相关的临界无序值更高。正如预期的那样，随着跳跃强度的进一步增加，两个通道变得非常相似。我们还考虑了两个无序分量的情况，并表明在两个晶格的参数之间存在某些相关性的情况下，可以得到一个与系统其余部分解耦的无无序通道。
