标题： 掺杂分数陈绝缘体和SU(3)$_1$手征自旋液体中的全息金属、电荷密度波和手征超导体 显示英文标题

标题： Holon metal, charge-density-wave and chiral superconductor from doping fractional Chern insulator and SU(3)$_1$ chiral spin liquid

摘要： 近期实验观察到扭角MoTe$_2$中邻近$\nu_h=-\frac{2}{3}=-1+\frac{1}{3}$分数量子异常霍尔（FQAH）绝缘体的超导体。一个关键问题是正常态是否为具有大费米面的费米液体，或者是一种具有小载流子密度的强关联金属态。在这项工作中，我们发展了掺杂$\nu=-\frac{2}{3}$分数量子绝缘体（FCI）可能相态的理论。我们还指出，如果假设自旋能隙是有限的，则此问题等价于掺杂一个SU(3)$_1$手征自旋液体（CSL）。对于这两个问题，在掺杂后自然出现的相态均为具有三个小费米口袋的荷子金属。这些口袋在掺杂CSL的情况下由无自旋的电荷$-e$荷子形成，在掺杂FCI的情况下由电荷$-e/3$分数化的空穴形成。由于规范场涨落，荷子金属可能不稳定而转变为电荷密度波（CDW）金属，但在磁场作用下可能会被稳定下来，并表现出不寻常的量子振荡周期。两种不同的手征超导体是可能的，它们分别从CDW金属相或直接从荷子金属中产生。我们注意到，如果最便宜的任意子是带有$e/3$电荷的基本任意子，那么由任意子气体直接形成超导体似乎不太可能。 显示英文摘要

摘要： Recent experiment observed a superconductor proximate to the $\nu_h=-\frac{2}{3}=-1+\frac{1}{3}$ fractional quantum anomalous Hall (FQAH) insulator in twisted MoTe$_2$. One critical question is whether the normal state is a Fermi liquid with large Fermi surface, or a strongly correlated metallic state with small carrier density. In this work we develop a theory of possible phases from doping the $\nu=-\frac{2}{3}$ fractional Chern insulator (FCI). We also point out that the problem is dual to doping a SU(3)$_1$ chiral spin liquid(CSL) if we assume that the spin gap is finite. For both problems, a natural phase upon doping is a holon metal with three small Fermi pockets. The pocket is formed by a spinless charge $-e$ holon in the doped CSL case and a charge $-e/3$ fractionalized hole in the doped FCI case. The holon metal is likely unstable to pairing due to gauge field fluctuations, leading to a charge density wave (CDW) metal, but may be stabilized by magnetic field and shows an unusual quantum oscillation period. Two different chiral superconductors are possible, emerging from the CDW metal phase or directly from the holon metal. We note that a superconductor directly from anyon gas seems unlikely if the cheapest anyon is the elementary one with $e/3$ charge.