Transport in helical Luttinger liquids in the fractional quantum Hall regime.
Transport in helical Luttinger liquids in the fractional quantum Hall regime.
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DOI：
10.1038/s41467-021-25631-2
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发表时间：
2021-09-07
影响因子：
16.6
通讯作者：
Rokhinson LP
中科院分区：
文献类型：
--
作者：
Wang Y;Ponomarenko V;Wan Z;West KW;Baldwin KW;Pfeiffer LN;Lyanda-Geller Y;Rokhinson LP
分数量子霍尔铁磁体中的畴壁是在拓扑结构不同的量子霍尔（QH）液体边界处形成的无间隙螺旋一维通道。简单地说，这些螺旋畴壁（hDW）构成了具有相反自旋的两个反向传播的手征态。耦合到s波超导体，螺旋通道有望导致拓扑超导与高阶非阿贝尔激发。在这里，我们研究了在ν = 2/3分数QH制度的hDW的输运性质。实验上，我们发现hDW携带的电流远小于朴素模型的预测。该系统的Luttinger液体理论揭示了准粒子电荷，自旋和中性模式之间的电流重新分配，并预测了hDW电流的减少。包含自旋非守恒隧穿过程调和理论与实验。该理论证实了形成分数拓扑超导所需的自旋模式的出现。先前的工作已经表明，在分数量子霍尔机制中，在铁磁自旋跃迁期间，螺旋畴壁可以在不同自旋极化的状态之间形成。在这里，作者研究了通过一个单一的螺旋畴壁的运输，并发现强烈的偏差，从一个简化的理论弱相互作用的边缘通道。
Domain walls in fractional quantum Hall ferromagnets are gapless helical one-dimensional channels formed at the boundaries of topologically distinct quantum Hall (QH) liquids. Naïvely, these helical domain walls (hDWs) constitute two counter-propagating chiral states with opposite spins. Coupled to an s-wave superconductor, helical channels are expected to lead to topological superconductivity with high order non-Abelian excitations. Here we investigate transport properties of hDWs in the ν = 2/3 fractional QH regime. Experimentally we found that current carried by hDWs is substantially smaller than the prediction of the naïve model. Luttinger liquid theory of the system reveals redistribution of currents between quasiparticle charge, spin and neutral modes, and predicts the reduction of the hDW current. Inclusion of spin-non-conserving tunneling processes reconciles theory with experiment. The theory confirms emergence of spin modes required for the formation of fractional topological superconductivity. Previous work has shown that helical domain walls can form between states of different spin-polarization during a ferromagnetic spin transition in the fractional quantum Hall regime. Here, the authors study the transport through a single helical domain wall and find strong deviations from a simplified theory of weakly interacting edge channels.
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