Confined states in the tight-binding model on the hexagonal golden-mean tiling
Confined states in the tight-binding model on the hexagonal golden-mean tiling
复制标题
六边形黄金分割平铺紧束缚模型中的受限态
DOI：
10.1088/1742-6596/2461/1/012003
复制
发表时间：
2023
期刊：
影响因子：
--
通讯作者：
Matsubara T
中科院分区：
文献类型：
--
作者：
Matsubara T
我们研究了二维六边形金平均铺层上具有两种不同跳点（t L, t S）的紧密结合模型，并研究了E= 0时的约束态，其中E为特征能。在t L= t S的情况下发现的一些受限态即使对于t L≠t S的系统也是精确的特征态，它们的幅值是平滑变化的。相反，其他状态不再是t L≠t S时系统的特征态，这可能意味着存在宏观简并态，而这些简并态是t L= t S时系统的特征态，并且热力学极限的受限态数出现了不连续。
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≠ t S, where their amplitudes are smoothly changed. By contrast, the other states are no longer eigenstates of the system with t L≠ 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.
影响因子：
41.2
作者：
Deguchi, Kazuhiko;Matsukawa, Shuya;Ishimasa, Tsutomu
通讯作者：
Ishimasa, Tsutomu