带软壁的紧束缚算符的边缘态
Edge states for tight-binding operators with soft walls
AI总结：
本研究针对带软壁的一维和二维周期紧束缚模型，证明壁位移时边缘模型会出现谱流，将其识别为布洛赫带并给出边缘态数量下界，为紧束缚体系边缘态研究提供理论支撑。
摘要：
我们研究了存在沿单一方向趋于无穷大势垒（即软壁，可阻止粒子沿该方向逃逸）的一维和二维周期紧束缚模型。我们证明，当壁发生位移时，对应的边缘模型中会出现谱流。我们将该谱流识别为一定数量的布洛赫带，并给出了此类模型中出现的边缘态数量的下界。
英文摘要：
We study one- and two-dimensional periodic tight-binding models under the presence of a potential that grows to infinity in one direction, hence preventing the particles to escape in this direction (the soft wall). We prove that a spectral flow appears in these corresponding edge models, as the wall is shifted. We identity this flow as a number of Bloch bands, and provide a lower bound for the number of edge states appearing in such models.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
