标题： 掺杂分数量子反常霍尔绝缘体中的任意子超导性和平台跃迁 显示英文标题

标题： Anyon superconductivity and plateau transitions in doped fractional quantum anomalous Hall insulators

摘要： 近期的实验报告了在扭曲的MoTe${}_2$中掺杂$\nu_e = 2/3$分数量子异常霍尔(FQAH)态时出现了超导性和回流整数量子异常霍尔(RIQAH)绝缘体的证据，并且这些现象之间由狭窄的电阻区域分隔开。 FQAH中的任意子通常具有有限的有效质量，当用任意子-通量复合费米子(CF)描述时，会经历具有相容填充的统计磁场。 在这里，我们展示了大多数实验观测可以通过引入无序对CF的朗道-霍夫施塔特能带的影响来解释。 特别是，在对任意子的能量和色散做出最小假设的情况下，我们证明了掺杂任意子可以驱动CF的平台跃迁进入整数量子霍尔状态，这在物理上对应于超导体或RIQAH相。 我们开发了一个词典，使我们可以从平台跃迁响应函数的知识推断出这些相和临界区的响应。 特别是，这允许我们将超导体的超流刚度与CF的极化率联系起来。 作为定量理解的第一步，我们借鉴著名的整数量子霍尔平台跃迁的结果，对超流刚度、纵向和霍尔电导率以及对外磁场的响应的临界行为做出了定量预测，所有这些都与实验观察相当一致。 我们的结果为任意子超导性是靠近$\nu_e = 2/3$FQAH绝缘体所观察到的超导体的机制提供了强有力的支持。 显示英文摘要

摘要： Recent experiments reported evidence of superconductivity and re-entrant integer quantum anomalous Hall (RIQAH) insulator upon doping the $\nu_e = 2/3$ fractional quantum anomalous Hall states (FQAH) in twisted MoTe${}_2$, separated by narrow resistive regions. Anyons of a FQAH generally have a finite effective mass, and when described by anyon-flux composite fermions (CF), experience statistical magnetic fields with a commensurate filling. Here, we show that most of the experimental observations can be explained by invoking the effects of disorder on the Landau-Hofstadter bands of CFs. In particular, by making minimal assumptions about the anyon energetics and dispersion, we show that doping anyons drives plateau transitions of CFs into integer quantum Hall states, which physically corresponds to either to a superconductor or to a RIQAH phase. We develop a dictionary that allows us to infer the response in these phases and the critical regions from the knowledge of the response functions of the plateau transitions. In particular, this allows us to relate the superfluid stiffness of the superconductor to the polarizability of CFs. As a first step towards a quantitative understanding, we borrow results from the celebrated integer quantum Hall plateau transitions to make quantitative prediction for the critical behavior of the superfluid stiffness, longitudinal and Hall conductivity, and response to out-of-plane magnetic field, all of which agree reasonably well with the experimental observations. Our results provide strong support for anyon superconductivity being the mechanism for the observed superconductor in the vicinity of the $\nu_e = 2/3$ FQAH insulator.