论文标题
一维量子环的隧道耦合系统中的拓扑作用
Topological Effects in Tunneling-Coupled Systems of One-Dimensional Quantum Rings
论文作者
论文摘要
使用理想化的，交叉的一维量子线的模型，我们在一维量子环的隧道耦合系统上为单个电子构建了一种新型模型。我们探索并发现拓扑可以影响系统的能量学，并在三个环情况下引入挫败感。我们还研究了控制隧道矩阵元素复杂阶段的外部磁场的特殊情况，并引入了“ WRITHE”的结理论概念，作为区分一个孔系统的新拓扑数量。我们发现，WRITHE不仅决定了系统对磁场强度的能量响应，而且还负责涉及基态波函数绕组数的单个粒子拓扑量子相变。
Using a model of idealized, crossed one-dimensional quantum wires we construct a novel model for a single electron on tunneling-coupled systems of one-dimensional quantum rings. We explore and find that topology can affect the energetics of the system, and can introduce frustration in the three ring case. We also study the special cases of an external magnetic field that controls the complex phase of the tunneling matrix element, and introduce the knot theory concept of "writhe" as a new topological quantity for distinguishing one hole systems. We find that writhe not only determines the energetic response of the system to magnetic field strength, but is also responsible for a single particle topological quantum phase transition involving the ground state wave function winding number.
