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arXiv · 2208.01803

Engineering Yang-Lee anyons via Majorana bound states

Takumi Sanno·Masahiko G. Yamada·Takeshi Mizushima·Satoshi Fujimoto
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Abstract

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.

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Takumi Sanno, Masahiko G. Yamada, Takeshi Mizushima, Satoshi Fujimoto. 2022-08-03. Engineering Yang-Lee anyons via Majorana bound states. https://doi.org/10.1103/physrevb.106.174517

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