论文标题
Rashba纳米线中的时钟模型和副作用
Clock model and parafermions in Rashba nanowires
论文作者
论文摘要
我们考虑使用Rashba自旋轨道相互作用的半导体纳米线，并在存在强电子电子相互作用的情况下受到磁场的影响。当Fermi和Rashba Momenta之间的比率调整为$ 1/2 $时，同时存在两个竞争的共振多粒子散射过程，并且它们之间的相互作用将系统带入无间隙的关键parafermion阶段。这个临界阶段由一个自偶式的正弦 - 戈登模型描述，我们能够将其明确地映射到$ \ mathbb {z} _4 $ parafermion时钟链模型的低能领域。最后，我们表明，通过交替的区域，其中只有这两个过程中的一个可以生成局部的零能量派象光状态。
We consider a semiconducting nanowire with Rashba spin-orbit interaction subjected to a magnetic field and in the presence of strong electron-electron interactions. When the ratio between Fermi and Rashba momenta is tuned to $1/2$, two competing resonant multi-particle scattering processes are present simultaneously and the interplay between them brings the system into a gapless critical parafermion phase. This critical phase is described by a self-dual sine-Gordon model, which we are able to map explicitly onto the low-energy sector of the $\mathbb{Z}_4$ parafermion clock chain model. Finally, we show that by alternating regions in which only one of these two processes is present one can generate localized zero-energy parafermion bound states.
