AI 中文总结
该研究提出菱面石墨烯莫尔超晶格中分数量子反常霍尔效应的斯格明子分数量子化起源，构建有效场论并构造变分试探波函数，确立了不依赖部分填充陈带的FQAH实现的现实途径。
AI 中文摘要
我们提出菱面石墨烯莫尔超晶格中分数量子反常霍尔（FQAH）效应的一种非常规微观起源：斯格明子分数量子化。我们将填充因子ν<1的态视为斯格明子空位构成的金属，这类空位是通过从ν=1时相互作用生成的层赝自旋斯格明子晶格陈绝缘体中移除斯格明子形成的带+e电荷的客体。这些空位是本征多带自由度，在单一陈带投影研究中不存在。基于近期提出的理想极限，我们首先构建有效场论，表明斯格明子空位自身可发生分数量子化，进而诱导电荷分数量子化。聚焦于ν=2/3的情况，我们为所得斯格明子分数量子绝缘体构造显式变分试探波函数，并结合数值证据与一般性论证表明该过程在能量上是有利的。我们的结果确立了一条不依赖于部分填充陈带、而是源于集体赝自旋纹理分数量子化的FQAH实现的现实途径。
英文摘要
We propose an unconventional microscopic origin for the fractional quantum anomalous Hall (FQAH) effect in rhombohedral graphene moiré superlattices: skyrmion fractionalization. We view the state at filling $ν<1$ as a metal of skyrmion vacancies, charge $+e$ objects formed by removing layer-pseudospin skyrmions from the interaction-generated skyrmion lattice Chern insulator at $ν=1$. These vacancies are intrinsically multiband degrees of freedom, absent in single Chern band-projected studies. Building on a recently proposed ideal limit, we first develop an effective field theory showing that skyrmion vacancies can themselves fractionalize, thereby inducing charge fractionalization. Focusing on $ν=\frac{2}{3}$, we then construct explicit variational trial wavefunctions for the resulting skyrmion fractional Chern insulator and provide numerical evidence, together with general arguments, showing that this process is energetically favored. Our results establish a realistic route to the FQAH that does not rely on a partially filled Chern band, but instead arises from fractionalization of collective pseudospin textures.
