Journal
PHYSICAL REVIEW B
Volume 106, Issue 17, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.106.174517
Keywords
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Funding
- JSPS Fellowship
- Multidisciplinary Research Laboratory System for Future Developments, Osaka University
- JST CREST, Japan [JPMJCR19T5]
- JST PRESTO [JPMJPR225B]
- JSPS of Japan [JP22H04480]
- JSPS KAKENHI [JP20K03860, JP20H01857, JP21H01039, JP22K14005, JP22H01221]
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We propose a platform for a Yang-Lee anyon system constructed from Majorana bound states in topological superconductors. By coupling a topological superconductor junction system with dissipative electron baths, we realize a non-Hermitian interacting Majorana system. Numerical estimations and parameter control confirm the realization of Yang-Lee edge criticality, and we present a scheme for the fusion, measurement, and braiding of Yang-Lee anyons in our proposed setup.
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 nonunitary conformal field theory with the central charge c = -22/5, are nonunitary counterparts of Fibonacci anyons, obeying the same fusion rule but exhibiting nonunitary 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 a scheme for the fusion, measurement, and braiding of Yang-Lee anyons in our proposed setup.
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