Refined Majorana phase diagram in topological insulator-superconductor hybrid system
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866912438782263296 |
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| author | Yue, Xin Qiao, Guo-Jian Sun, C. P. |
| author_facet | Yue, Xin Qiao, Guo-Jian Sun, C. P. |
| contents | The edge state of the topological insulator coupled to a superconductor system is able to simulate the Majorana fermion in zero energy mode since the Kitaev-type pairing is induced by exchanging quasi-excitations in electron tunneling. However, the present study has revealed that this physical simulation is not valid for a larger surface gap, which is the energy gap of the insulator's surface states. To address this issue, a refined pairing term that depends on the surface gap has been obtained as a second-order effect of the proximity effect, whereas the lowest order produces a constant pairing strength. By carefully considering the dependence of pairing strength on the surface gap, the Majorana phase diagram is re-achieved and a significant difference from previous work is observed, where the pairing strength was assumed to be independent of the surface gap and resulted in a conical phase boundary. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_14659 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Refined Majorana phase diagram in topological insulator-superconductor hybrid system Yue, Xin Qiao, Guo-Jian Sun, C. P. Mesoscale and Nanoscale Physics The edge state of the topological insulator coupled to a superconductor system is able to simulate the Majorana fermion in zero energy mode since the Kitaev-type pairing is induced by exchanging quasi-excitations in electron tunneling. However, the present study has revealed that this physical simulation is not valid for a larger surface gap, which is the energy gap of the insulator's surface states. To address this issue, a refined pairing term that depends on the surface gap has been obtained as a second-order effect of the proximity effect, whereas the lowest order produces a constant pairing strength. By carefully considering the dependence of pairing strength on the surface gap, the Majorana phase diagram is re-achieved and a significant difference from previous work is observed, where the pairing strength was assumed to be independent of the surface gap and resulted in a conical phase boundary. |
| title | Refined Majorana phase diagram in topological insulator-superconductor hybrid system |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2303.14659 |