标题： 轨道描述的朗道能级 显示英文标题

标题： Orbital Description of Landau Levels

摘要： 我们构建了一个最小格点模型，以提供最低和第一朗道能级的轨道描述。 通过具有$s$,$p_-$,$p_+$轨道特征的最大局域化Wannier函数，开发了一个三轨道模型，其中最低的两个陈带是平坦的，具有$\mathcal{C}=1$。 该模型可以看作是在动量空间中$\Gamma$和$K$处这些Wannier态之间的连续能带反转，这绝热地将原子绝缘体极限连接到朗道能级物理。 有趣的是，多体精确对角化和纠缠谱分析表明，在1/3填充的最低陈带中可以出现阿贝尔态，而在半填充的第一陈带中发现了非阿贝尔态的迹象。 此构造可以进一步扩展，以实现类似于更高朗道能级的平坦陈带。 我们的结果提供了一种新的视角来理解朗道能级的格点类比，可能有助于在更高温度下实现迷人的拓扑现象。 显示英文摘要

摘要： We construct a minimal lattice model to provide an orbital description of lowest and first Landau levels. With the maximally localized Wannier functions with $s$, $p_-$, $p_+$ orbital characteristics, a three-orbital model is developed, where the lowest two Chern bands are flat with $\mathcal{C}=1$. This model can be viewed as consecutive band inversions between these Wannier states at $\Gamma$ and $K$ in momentum space, which adiabatically connects the atomic insulator limit to Landau level physics. Interestingly, many-body exact diagonalization and entanglement spectrum analysis suggest that the Abelian states can appear in the 1/3-filled lowest Chern band, while the signatures of the non-Abelian states are found in the half-filled first Chern band. This construction can be further extended to realize flat Chern bands resembling the higher Landau levels. Our results offer a new perspective to understand the lattice analogue of Landau levels, potentially enabling the realization of the fascinating topological phenomena at higher temperatures.