Engineering Yang-Lee anyons via Majorana bound states
Engineering Yang-Lee anyons via Majorana bound states
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DOI：
10.1103/physrevb.106.174517
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发表时间：
2022-08
影响因子：
3.7
通讯作者：
Takumi Sanno;M. Yamada;T. Mizushima;S. Fujimoto
中科院分区：
文献类型：
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作者：
Takumi Sanno;M. Yamada;T. Mizushima;S. Fujimoto
我们提出了一个由拓扑超导体中的Majorana束缚态构成的Yang-Lee任意子系统的平台。杨-李任意子是Fibonacci任意子的非幺正对应物，由中心电荷$c=-22/5$的非幺正共形场论描述，服从相同的融合规则，但表现出非幺正的非阿贝尔编织统计。我们考虑一个拓扑超导结系统与耗散电子池耦合，实现了一个非厄米相互作用的Majorana系统。通过对中心电荷的数值估计，我们研究了非厄米的Majorana系统能够模拟Yang-Lee边缘奇点的Ising自旋模型的条件，并证实了通过控制模型参数，Yang-Lee边缘奇点是可以实现的.在此基础上，我们提出了在我们提出的实验装置中实现Yang-Lee任意子的融合、测量和编织的方案。
We propose the platform of a Yang-Lee anyon system which is constructed from Majorana bound states in topological superconductors. Yang-Lee anyons, described by the non-unitary conformal field theory with the central charge $c=-22/5$, are non-unitary counterparts of Fibonacci anyons, obeying the same fusion rule, but exhibiting non-unitary non-Abelian braiding statistics. We consider a topological superconductor junction system coupled with dissipative electron baths, which realizes a non-Hermitian interacting Majorana system. Numerically estimating the central charge, we examine the condition that the non-Hermitian Majorana system can simulate the Ising spin model of the Yang-Lee edge singularity, and confirm that, by controlling model parameters in a feasible way, the Yang-Lee edge criticality is realized. On the basis of this scenario, we present the scheme for the fusion, measurement and braiding of Yang-Lee anyons in our proposed setup.