论文标题
半迪拉克半金属中的绑定状态
Bound states in semi-Dirac semi-metals
论文作者
论文摘要
通过分析小扰动下的光谱稳定性，可以获得对沿着一个方向进行线性分散和沿另一个方向的二次分散体的纳米结构传输特性的新见解。在外部领域的相当普遍的假设下得出了与物理相关的足够和必要条件以确保离散特征值的存在。该分析最有趣的特征之一是系统在弱耦合方面的明显光谱不稳定性。严格的理论结果通过数值实验来说明，并进行了物理实验的预测。
New insights into transport properties of nanostructures with a linear dispersion along one direction and a quadratic dispersion along another are obtained by analysing their spectral stability properties under small perturbations. Physically relevant sufficient and necessary conditions to guarantee the existence of discrete eigenvalues are derived under rather general assumptions on external fields. One of the most interesting features of the analysis is the evident spectral instability of the systems in the weakly coupled regime. The rigorous theoretical results are illustrated by numerical experiments and predictions for physical experiments are made.
