Majorana zero modes under electron correlation
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910475153833984 |
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| author | Qi, Ziyue Weng, Hongming Jiang, Kun |
| author_facet | Qi, Ziyue Weng, Hongming Jiang, Kun |
| contents | In this work, we perform a systematic investigation of the correlated topological superconductors (TSCs), especially their non-trivial Majorana zero modes (MZMs). Compared to the non-interacting MZMs, the emerged correlated MZMs become projected MZMs. To prove this, we study the topological superconducting nanowire under the Hubbard and Hatsugai-Kohmoto interactions. Both of them become correlated TSCs under a magnetic field. Their topological properties are numerically computed by the Wilson loop and entanglement spectrum. We successfully extract the projected MZMs connecting the ground state and excited state through exact diagonalization. We also extend our results to the spinful Kitaev chain. Our results can provide a new perspective and understanding of the correlated MZMs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_04168 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Majorana zero modes under electron correlation Qi, Ziyue Weng, Hongming Jiang, Kun Superconductivity Strongly Correlated Electrons In this work, we perform a systematic investigation of the correlated topological superconductors (TSCs), especially their non-trivial Majorana zero modes (MZMs). Compared to the non-interacting MZMs, the emerged correlated MZMs become projected MZMs. To prove this, we study the topological superconducting nanowire under the Hubbard and Hatsugai-Kohmoto interactions. Both of them become correlated TSCs under a magnetic field. Their topological properties are numerically computed by the Wilson loop and entanglement spectrum. We successfully extract the projected MZMs connecting the ground state and excited state through exact diagonalization. We also extend our results to the spinful Kitaev chain. Our results can provide a new perspective and understanding of the correlated MZMs. |
| title | Majorana zero modes under electron correlation |
| topic | Superconductivity Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2406.04168 |