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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2307.03299 |
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| _version_ | 1866913232654958592 |
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| author | Luna, Juan Daniel Torres Kuppuswamy, Sathish R. Akhmerov, Anton R. |
| author_facet | Luna, Juan Daniel Torres Kuppuswamy, Sathish R. Akhmerov, Anton R. |
| contents | Braiding of Majorana states demonstrates their non-Abelian exchange statistics. One implementation of braiding requires control of the pairwise couplings between all Majorana states in a trijunction device. To have adiabaticity, a trijunction device requires the desired pair coupling to be sufficiently large and the undesired couplings to vanish. In this work, we design and simulate a trijunction device in a two-dimensional electron gas with a focus on the normal region that connects three Majorana states. We use an optimisation approach to find the operational regime of the device in a multi-dimensional voltage space. Using the optimization results, we simulate a braiding experiment by adiabatically coupling different pairs of Majorana states without closing the topological gap. We then evaluate the feasibility of braiding in a trijunction device for different shapes and disorder strengths. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_03299 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Design of a Majorana trijunction Luna, Juan Daniel Torres Kuppuswamy, Sathish R. Akhmerov, Anton R. Mesoscale and Nanoscale Physics Braiding of Majorana states demonstrates their non-Abelian exchange statistics. One implementation of braiding requires control of the pairwise couplings between all Majorana states in a trijunction device. To have adiabaticity, a trijunction device requires the desired pair coupling to be sufficiently large and the undesired couplings to vanish. In this work, we design and simulate a trijunction device in a two-dimensional electron gas with a focus on the normal region that connects three Majorana states. We use an optimisation approach to find the operational regime of the device in a multi-dimensional voltage space. Using the optimization results, we simulate a braiding experiment by adiabatically coupling different pairs of Majorana states without closing the topological gap. We then evaluate the feasibility of braiding in a trijunction device for different shapes and disorder strengths. |
| title | Design of a Majorana trijunction |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2307.03299 |