标题： 莫尔过渡金属二硫化物中分数陈绝缘子准粒子的表征 显示英文标题

标题： Characterization of fractional Chern insulator quasiparticles in moiré transition metal dichalcogenides

摘要： 我们对位于扭曲双层MoTe$_2$ (tMoTe$_2$)顶部价带中的谷极化分数陈绝缘体(FCIs)的阿贝尔准粒子进行了详细研究，在空穴填充度$\nu_h=2/3$时。 我们构建了一个非定域准粒子的紧束缚模型，以捕捉单个准粒子的能量色散。 然后通过短程delta杂质势来局域化准粒子。 与最低朗道能级(LLL)中的分数量子霍尔(FQH)对应物不同，tMoTe$_2$ 中局域化的FCI准粒子周围的密度分布取决于杂质势的位置，并失去了连续旋转不变性。 在莫里晶格中心局域化的FCI准粒子紧密跟随移动准粒子紧束缚模型的任意子Wannier态。 尽管密度分布存在差异，但我们发现，在tMoTe$_2$ 中的$\nu_h=2/3$ FCIs 在杂质势周围的过量电荷仍然类似于LLL中的$\nu=2/3$ FQH态，如果选择莫里晶格上的有效磁长度作为长度单位，这允许对FCI准粒子的空间范围进行粗略估计。 远离杂质势，这种额外电荷有趋向于达到$e/3$的趋势，这与Laughlin准粒子的预期一致。 tMoTe$_2$中两个FCI准粒子的编织相位也与分数统计的理论预测一致。 基于tMoTe$_2$顶价带几乎理想的量子几何，我们提出了一个局部FCI准粒子的试探波函数，该波函数再现了准粒子周围密度分布的关键特征。 我们还讨论了带间混合对tMoTe$_2$中FCI准粒子的影响。 显示英文摘要

摘要： We provide a detailed study of Abelian quasiparticles of valley polarized fractional Chern insulators (FCIs) residing in the top valence band of twisted bilayer MoTe$_2$ (tMoTe$_2$) at hole filling $\nu_h=2/3$. We construct a tight-binding model of delocalized quasiparticles to capture the energy dispersion of a single quasiparticle. We then localize quasiparticles by short-range delta impurity potentials. Unlike the fractional quantum Hall (FQH) counterpart in the lowest Landau level (LLL), the density profile around the localized FCI quasiparticle in tMoTe$_2$ depends on the location of the impurity potential and loses the continuous rotation invariance. The FCI quasiparticle localized at moir\'e lattice center closely follows the anyon Wannier state of the tight-binding model of the mobile quasiparticle. Despite of the difference in density profiles, we find that the excess charge around the impurity potential for the $\nu_h=2/3$ FCIs in tMoTe$_2$ is still similar to that of the $\nu=2/3$ FQH state in the LLL if an effective magnetic length on the moir\'e lattice is chosen as the length unit, which allows a rough estimation of the spatial extent of the FCI quasiparticle. Far away from the impurity potential, this excess charge has the tendency to reach $e/3$, as expected for the Laughlin quasiparticle. The braiding phase of two FCI quasiparticles in tMoTe$_2$ also agrees with the theoretical prediction of fractional statistics. Based on the nearly ideal quantum geometry of the top valence band of tMoTe$_2$, we propose a trial wave function for localized FCI quasiparticles, which reproduces the key feature of the density profile around a quasiparticle. We also discuss the effect of band mixing on FCI quasiparticles in tMoTe$_2$.