Braiding Induced by Finite-Size Effect in One-Dimensional Topological Superconductors
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909676240633856 |
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| author | Pan, Hongfa Li, Zhengtian Jia, Jinxiong Qiao, Zhenhua |
| author_facet | Pan, Hongfa Li, Zhengtian Jia, Jinxiong Qiao, Zhenhua |
| contents | We investigate the transport properties of Majorana zero mode (MZM) and Majorana Kramers pair (MKP) in one-dimensional topological superconductors, respectively. An effective model is established for braiding of MZMs and MKPs. We employ the $d_{x^{2}-y^{2}}$-wave topological superconductors to embody the effective model for braiding of MKPs by utilizing finite-size effects and locally tunable coupling parameters. We show how to construct the state initialization and readout via gate control. We also use this method for braiding MZMs in s-wave topological superconductors. Our proposal presents a promising avenue for experimentally verifying the non-Abelian statistical properties of MZMs and MKPs, with implications for topological quantum computing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_17988 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Braiding Induced by Finite-Size Effect in One-Dimensional Topological Superconductors Pan, Hongfa Li, Zhengtian Jia, Jinxiong Qiao, Zhenhua Mesoscale and Nanoscale Physics Superconductivity We investigate the transport properties of Majorana zero mode (MZM) and Majorana Kramers pair (MKP) in one-dimensional topological superconductors, respectively. An effective model is established for braiding of MZMs and MKPs. We employ the $d_{x^{2}-y^{2}}$-wave topological superconductors to embody the effective model for braiding of MKPs by utilizing finite-size effects and locally tunable coupling parameters. We show how to construct the state initialization and readout via gate control. We also use this method for braiding MZMs in s-wave topological superconductors. Our proposal presents a promising avenue for experimentally verifying the non-Abelian statistical properties of MZMs and MKPs, with implications for topological quantum computing. |
| title | Braiding Induced by Finite-Size Effect in One-Dimensional Topological Superconductors |
| topic | Mesoscale and Nanoscale Physics Superconductivity |
| url | https://arxiv.org/abs/2407.17988 |