论文标题
3D网络模型，用于强拓扑绝缘体过渡
3D Network Model for Strong Topological Insulator Transitions
论文作者
论文摘要
我们构建了整数量子厅过渡的Chalker-Coddington网络模型的三维（3D），时空对称的概括。我们网络模型的新功能是，除了在现有文献中已经容纳网络模型框架已经适应的弱拓扑绝缘体阶段外，它还具有强大的拓扑绝缘器阶段。我们明确地证明，强大的拓扑绝缘体相位出现在微不足道的绝缘体相和弱拓扑阶段之间的中间阶段。此外，我们发现了一个非本地转换，该转换将微不足道的绝缘体阶段和网络模型中的较弱的拓扑阶段相关联。值得注意的是，在这种转变下，强大的拓扑阶段被映射到自己。我们表明，在添加足够强的障碍后，强拓扑绝缘体阶段将经历相变到金属阶段。我们在数值上确定绝缘子 - 金属过渡的关键指数。我们的网络模型明确显示了如何将2D中拓扑相变的半经典渗透图概述为3D，并为研究3D拓扑相变的新场地打开了一个新的场所。
We construct a three-dimensional (3D), time-reversal symmetric generalization of the Chalker-Coddington network model for the integer quantum Hall transition. The novel feature of our network model is that in addition to a weak topological insulator phase already accommodated by the network model framework in the pre-existing literature, it hosts strong topological insulator phases as well. We unambiguously demonstrate that strong topological insulator phases emerge as intermediate phases between a trivial insulator phase and a weak topological phase. Additionally, we found a non-local transformation that relates a trivial insulator phase and a weak topological phase in our network model. Remarkably, strong topological phases are mapped to themselves under this transformation. We show that upon adding sufficiently strong disorder the strong topological insulator phases undergo phase transitions into a metallic phase. We numerically determine the critical exponent of the insulator-metal transition. Our network model explicitly shows how a semi-classical percolation picture of topological phase transitions in 2D can be generalized to 3D and opens up a new venue for studying 3D topological phase transitions.
