论文标题
连续体（BIC）中的绑定状态受到扁平频带系统中自我维持的潜在障碍的保护
Bound states in the continuum (BIC) protected by self-sustained potential barriers in a flat band system
论文作者
论文摘要
在这项工作中，我们研究了一维自旋-1平面系统的连续体（BIC）中的结合状态。已经发现，当潜力足够强大时，就会存在有效的有吸引力的潜力，被无限高的自我维护障碍所包围。因此，有效的潜力井中存在一些BIC。这些结合的状态受到无限高的潜在障碍的保护，无法腐烂到连续体中。}采用长期征用的库仑电势和短期指数势作为两个例子，获得了结合的状态能量。对于库仑的潜力，存在一系列关键的潜在优势，附近结合的状态能量可以转到无限。对于足够强大的指数势，存在两个不同的绑定状态，具有相同数量的波函数节点。在强大的潜力下，受自我维持的潜在障碍保护的BIC的存在是一种普遍的现象。 BIC存在的必要条件是，电势的最大值大于带隙的两倍。
In this work, we investigate the bound states in the continuum (BIC) of a one-dimensional spin-1 flat band system. It is found that, when the potential is sufficiently strong, there exists an effective attractive potential well surrounded by infinitely high self-sustained barriers. Consequently, there exist some BIC in the effective potential well. These bound states are protected by the infinitely high potential barriers, which could not decay into the continuum.} Taking a long-ranged Coulomb potential and a short-ranged exponential potential as two examples, the bound state energies are obtained. For a Coulomb potential, there exists a series of critical potential strengths, near which the bound state energy can go to infinity. For a sufficiently strong exponential potential, there exists two different bound states with a same number of wave function nodes. The existence of BIC protected by the self-sustained potential barriers is quite a universal phenomenon in the flat band system under a strong potential. A necessary condition for the existence of BIC is that the maximum value of potential is larger than two times band gap.
