AI 中文总结
本文针对MoTe₂中ν=3分数量子自旋霍尔效应的两分量复合费米子态完成分类，结合三种探测手段可识别实验相关态，为该领域实验研究提供理论支撑。
AI 中文摘要
在GaAs和石墨烯中已被充分理解的分数量子霍尔态可以用弱相互作用的复合费米子来描述。人们自然会期望，这一统一原理也适用于MoTe₂中假定的分数量子自旋霍尔效应。由于量子自旋霍尔效应涉及两个自旋分量，因此必须存在两种类型的复合费米子。我们对填充因子ν=3处的所有两分量复合费米子态进行了分类。该分类包含三类态，它们分别来自Sodemann Villadiego等人（《物理评论B》，第110卷，045114页，2024年）、Jian等人（《物理评论X》，第15卷，021063页，2025年）以及May-Mann等人（《物理评论B》，第111卷，L201111页，2025年）从不同物理视角提出的态，还包含两类新的态。大多数复合费米子态会破坏时间反演对称性。我们针对每种可能的态，综述了准粒子电荷、统计性质和边缘理论。我们还阐述了一种识别实验相关态的方法，该方法可通过三种探测手段结合实现：第一，散粒噪声技术可提供分数电荷信息；第二，热电导有助于计数边缘模式；第三种探测手段基于新想法，涉及沿单个边缘的两个量子点接触之间的输运，我们发现从一个接触到另一个接触的电流取决于边缘通道的形状，而该形状可通过侧边门控制，此探测手段能揭示低能边缘理论的涌现对称群。
英文摘要
Well-understood fractional quantum Hall states in GaAs and graphene can be described in terms of weakly interacting composite fermions. It is natural to expect that the same unifying principle applies to the putative fractional quantum spin Hall effect in MoTe$_2$. Since the quantum spin Hall effect involves two spin components, two types of composite fermions must be present. We classify all two-component composite-fermion states at the filling factor $ν=3$. The classification includes the three classes of states, which were introduced from different physical perspectives in Refs. Sodemann Villadiego, Phys. Rev. B 110, 045114 (2024), Jian et al., Phys. Rev. X 15, 021063 (2025), and May-Mann et al., Phys. Rev. B 111, L201111, (2025), as well as two new classes of states. A majority of the composite-fermion states break the time-reversal symmetry. We review quasiparticle charges, statistics, and edge theories for each possible state. We also address a way of identifying the experimentally relevant state or states. This can be accomplished by combining three probes. First, the shot noise technique provides information about fractional charges. Second, thermal conductance helps count edge modes. The third probe is based on a new idea and involves transport between two quantum point contacts along a single edge. We find that the current from one contact to the other depends on the shape of the edge channel, which can be controlled with a side gate. The probe reveals the emergent symmetry group of the low-energy edge theory.
Comments33 pages, 15 figures and 4 tables
