Manipulating the topological spin of Majoranas
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866917248400097280 |
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| author | de Wit, Stijn R. Duman, Emre Bozkurt, A. Mert Brinkman, Alexander Adagideli, Inanc |
| author_facet | de Wit, Stijn R. Duman, Emre Bozkurt, A. Mert Brinkman, Alexander Adagideli, Inanc |
| contents | The non-Abelian exchange statistics of Majorana zero modes make them interesting for both technological applications and fundamental research. Unlike their non-Abelian counterpart, the Abelian contribution, $e^{iθ}$, where $θ$ is directly related to the Majorana's topological spin, is often neglected. However, the Abelian exchange phase and hence the topological spin can differ from system to system. For vortices in topological superconductors, the Abelian exchange phase is interpreted as an Aharonov-Casher phase arising from a vortex encircling a $e/4$ charge. In this work, we show how this fractional charge, and hence the topological spin, can be manipulated through the control of device geometry, introducing an additional control knob for topological quantum computing. To probe this effect, we propose a vortex interference experiment that reveals the presence of this fractional charge through shifts in the critical current. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_06334 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Manipulating the topological spin of Majoranas de Wit, Stijn R. Duman, Emre Bozkurt, A. Mert Brinkman, Alexander Adagideli, Inanc Mesoscale and Nanoscale Physics Superconductivity Quantum Physics The non-Abelian exchange statistics of Majorana zero modes make them interesting for both technological applications and fundamental research. Unlike their non-Abelian counterpart, the Abelian contribution, $e^{iθ}$, where $θ$ is directly related to the Majorana's topological spin, is often neglected. However, the Abelian exchange phase and hence the topological spin can differ from system to system. For vortices in topological superconductors, the Abelian exchange phase is interpreted as an Aharonov-Casher phase arising from a vortex encircling a $e/4$ charge. In this work, we show how this fractional charge, and hence the topological spin, can be manipulated through the control of device geometry, introducing an additional control knob for topological quantum computing. To probe this effect, we propose a vortex interference experiment that reveals the presence of this fractional charge through shifts in the critical current. |
| title | Manipulating the topological spin of Majoranas |
| topic | Mesoscale and Nanoscale Physics Superconductivity Quantum Physics |
| url | https://arxiv.org/abs/2505.06334 |