论文标题
2D格子中紧密结合的哈密顿量的低能和高能定位景观
Low and high-energy localization landscapes for tight-binding Hamiltonians in 2D lattices
论文作者
论文摘要
电子波函数在现代二维（2D）材料（例如石墨烯）中的定位可以极大地影响其传输和磁性。最近的本地化格局（LL）理论带来了许多工具和理论结果，以了解连续环境中这种本地化现象，但是到目前为止，很少有扩展范围是离散的领域或紧密结合的汉密尔顿人。在本文中，我们展示了如何将这种方法扩展到几乎所有已知的2d〜晶格，并提出了一种系统设计LL的系统方式，即使是为了更高的维度。我们详细说明了该LL理论如何运作和准确地预测位置，还可以准确地预测蜂窝和六角形晶格中局部本征函数的能量，从而使其成为研究这些材料中疾病作用的极其有希望的工具。
Localization of electronic wave functions in modern two-dimensional (2D) materials such as graphene can impact drastically their transport and magnetic properties. The recent localization landscape (LL) theory has brought many tools and theoretical results to understand such localization phenomena in the continuous setting, but with very few extensions so far to the discrete realm or to tight-binding Hamiltonians. In this paper, we show how this approach can be extended to almost all known 2D~lattices, and propose a systematic way of designing LL even for higher dimension. We demonstrate in detail how this LL theory works and predicts accurately not only the location, but also the energies of localized eigenfunctions in the low and high energy regimes for the honeycomb and hexagonal lattices, making it a highly promising tool for investigating the role of disorder in these materials.
