Engineering Yang-Lee anyons via Majorana bound states
| Autor: | Sanno, Takumi, Yamada, Masahiko G., Mizushima, Takeshi, Fujimoto, Satoshi |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Phys. Rev. B 106, 174517 (2022) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevB.106.174517 |
| Popis: | 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. Comment: 12 pages, 11 figures |
| Databáze: | arXiv |
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