论文标题
在纳米骨中的连续体进出的结合状态具有较宽的部分：一种新颖的递归S-Matrix方法
Bound states in and out of the continuum in nanoribbons with wider sections: A novel recursive S-matrix method
论文作者
论文摘要
我们报告了一种新的方法，可以在一般的紧密结合哈密顿人中找到具有半限制性铅的约束状态。该方法基于递归S-Matrix方法，该方法使我们能够根据其子系统的S-矩阵迭代地计算一般系统的S-Matrix。我们确定了子系统的S矩阵必须在E.能量E上具有绑定状态。可以通过使用S-膜的Taylor系列来确定能量的能量。该方法使我们能够在连续体的（BIC）和OUT（BOC）中找到绑定的状态能量和波形，包括退化。为方形和蜂窝状晶格计算了纳米骨中的绑定状态。使用此方法，我们用两种类似量子点的结构验证了石墨烯纳米替比的结合状态，据报道，通过使用另一种技术具有BICS。但是，这种新的分析表明，这种BIC是双重的，一个是均匀的，另一个具有奇数波函数，略有分离的能量。这样，新方法可用于有效地找到新的BIC并提高先前报道的BIC。
We report a novel method to find bound states in general tight-binding Hamiltonians with semi-infinite leads. The method is based on the recursive S-matrix method, which allows us to compute iteratively the S-matrix of a general system in terms of the S-matrices of its subsystems. We establish the condition that the S-matrices of the subsystems must accomplish to have a bound state at energy E. Energies that accomplish this relation, can be determined with high accuracy and efficiency by using the Taylor series of the S-matrices. The method allows us to find bound states energies and wavefunctions in (BIC) and out (BOC) of the continuum, including degenerate ones. Bound states in nanoribbons with wider sections are computed for square and honeycomb lattices. Using this method, we verify the bound states in a graphene nanoribbon with two quantum-dot-like structures which has been reported to have BICs by using another technique. However, this new analysis reveals that such BICs are double, one with even and the other with odd wavefunction, with slightly separated energies. In this way, the new method can be used to efficiently find new BICs and to improve precision in previously reported ones.
