具有长程连通性的装饰Lieb-ladder几何中激发的可调谐锁定
Tunable caging of excitation in decorated Lieb-ladder geometry with long range connectivity
摘要：
在紧束缚框架下，采用准一维Lieb几何模型和次近邻跳跃积分，研究了波列的受控Aharonov-Bohm囚禁.通过在原始网络的骨架内结合周期性、准周期性或分形几何来考虑这种较长的波长波动。这就要求奇异的本征谱显示出平带态的分布。此外，外部磁通量的细微调制导致对那些非谐振模式的全面控制。实空间重整化群方法为研究这种可调的激发囚禁提供了一个精确的解析公式。外部代理的非平凡可调性在实验视角的背景下是重要的，也是具有挑战性的。
英文摘要：
Controlled Aharonov-Bohm caging of wave train is reported in a quasi-one dimensional version of Lieb geometry with next nearest neighbor hopping integral within the tight-binding framework. This longer wavelength fluctuation is considered by incorporating periodic, quasi-periodic or fractal kind of geometry inside the skeleton of the original network. This invites exotic eigenspectrum displaying a distribution of flat band states. Also a subtle modulation of external magnetic flux leads to a comprehensive control over those non-resonant modes. Real space renormalization group method provides us an exact analytical prescription for the study of such tunable imprisonment of excitation. The non-trivial tunability of external agent is important as well as challenging in the context of experimental perspective.
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