AI 中文总结
本文提出利用Landau算子本征函数的谱方法，数值计算含周期势的Landau哈密顿量的能带结构，可覆盖弱、强及中间势场，分析了能带结构随势强度的变化规律。
AI 中文摘要
本文研究含周期势的Landau哈密顿量本征函数的数值计算，提出一种利用Landau算子本征函数的谱方法，可数值计算不同强度势场的能带结构，包括已深入研究的弱势、强势，以及中间区域的系统。随后将该方法应用于从弱耦合到强耦合全范围耦合常数的模拟，分析能带结构随势强度的变化规律。
英文摘要
In this paper, we study the numerical computation of eigenfunctions of the Landau Hamiltonian with a periodic potential. We propose a spectral method using the eigenfunctions of the Landau operator that allows us to numerically compute the band structure for potentials of different strengths, including the well-studied weak and strong potentials, and additionally systems in the intermediate regime. We then apply the method to simulations across the full range of coupling constants from weak to strong coupling and present an analysis of the band structure as a function of the potential strength.
