Noise-Tolerance of Majorana Teleportation in Mesoscopic Topological Superconductors
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917677689208832 |
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| author | Goto, Tsukasa Sugeta, Masayuki Mizushima, Takeshi Fujimoto, Satoshi |
| author_facet | Goto, Tsukasa Sugeta, Masayuki Mizushima, Takeshi Fujimoto, Satoshi |
| contents | We investigate teleportation interference associated with the non-local character of Majorana zero modes (MZMs) as a probe of MZMs focusing on the tolerance of teleportation against disturbances, such as inhomogeneous potentials at junctions and disorder. We develop a method for calculating non-local conductance in mesoscopic topological superconductors with fixed parity. In the trivial phase, the non-local conductance exhibits the $h/2e$-periodicity, while in the topological phase with fixed parity, it exhibits the $h/e$-periodicity, indicative of Majorana teleportation. We find that the $h/e$-periodicity is stable against changes in inhomogeneous potential structures and disorder. These results imply that MZMs can cause teleportation interference even in the presence of disturbances, leading to a clear distinction between the trivial and topological phases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06677 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Noise-Tolerance of Majorana Teleportation in Mesoscopic Topological Superconductors Goto, Tsukasa Sugeta, Masayuki Mizushima, Takeshi Fujimoto, Satoshi Mesoscale and Nanoscale Physics Superconductivity We investigate teleportation interference associated with the non-local character of Majorana zero modes (MZMs) as a probe of MZMs focusing on the tolerance of teleportation against disturbances, such as inhomogeneous potentials at junctions and disorder. We develop a method for calculating non-local conductance in mesoscopic topological superconductors with fixed parity. In the trivial phase, the non-local conductance exhibits the $h/2e$-periodicity, while in the topological phase with fixed parity, it exhibits the $h/e$-periodicity, indicative of Majorana teleportation. We find that the $h/e$-periodicity is stable against changes in inhomogeneous potential structures and disorder. These results imply that MZMs can cause teleportation interference even in the presence of disturbances, leading to a clear distinction between the trivial and topological phases. |
| title | Noise-Tolerance of Majorana Teleportation in Mesoscopic Topological Superconductors |
| topic | Mesoscale and Nanoscale Physics Superconductivity |
| url | https://arxiv.org/abs/2404.06677 |