论文标题
六角形金色平铺的紧密结合模型中的受限状态
Confined states in the tight-binding model on the hexagonal golden-mean tiling
论文作者
论文摘要
我们在二维六边形金色平式瓷砖上使用两个不同的跳跃$（t_l，t_s）$研究了紧密结合模型，并以$ e = 0 $的限制性状态检查，其中$ e $是特征力。在此情况下发现的一些限制状态$ t_l = t_s $即使对于具有$ t_l \ neq t_s $的系统，它们的幅度会顺利更改。相比之下，其他状态不再是系统的特征状态，$ t_l \ neq t_s $。这可能意味着存在宏观变性状态，这些状态是系统的特征，具有$ t_l = t_s $，并且在热力学极限中的受限状态数中出现了不连续性。
We study the tight-binding model with two distinct hoppings $(t_L, t_S)$ on the two-dimensional hexagonal golden-mean tiling and examine the confined states with $E=0$, where $E$ is the eigenenergy. Some confined states found in the case $t_L=t_S$ are exact eigenstates even for the system with $t_L \neq t_S$, where their amplitudes are smoothly changed. By contrast, the other states are no longer eigenstates of the system with $t_L \neq t_S$. This may imply the existence of macroscopically degenerate states which are characteristic of the system with $t_L=t_S$, and that a discontinuity appears in the number of the confined states in the thermodynamic limit.
