紧束缚模型在谱退化点附近的大尺度近似及波包传播的有效性
Macroscopic approximation of tight-binding models near spectral degeneracies and validity for wave packet propagation
AI总结：
本文研究了紧束缚模型在谱退化点附近波包的宏观近似及其在石墨烯哈密顿量中的有效性，通过数值模拟验证了宏观模型的长期准确性。
摘要：
本文关注紧束缚模型中在色散关系退化点（K,E）附近所支持的波包的宏观描述的推导及其有效性。我们证明，此类波包在长时间内可由具有不同精度的宏观模型良好近似。我们的主要应用在于单层和多层石墨烯紧束缚哈密顿量的分析，这些哈密顿量模型了诸如剪切或扭折所产生的宏观变化。数值模拟展示了理论发现。
英文摘要：
This paper concerns the derivation and validity of macroscopic descriptions of wave packets supported in the vicinity of degenerate points $(K,E)$ in the dispersion relation of tight-binding models accounting for macroscopic variations. We show that such wave packets are well approximated over long times by macroscopic models with varying orders of accuracy. Our main applications are in the analysis of single- and multilayer graphene tight-binding Hamiltonians modeling macroscopic variations such as those generated by shear or twist. Numerical simulations illustrate the theoretical findings.
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。
