Topological in-gap chiral edge states in superconducting Haldane model with spin-orbit coupling
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915422814601216 |
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| author | Sekh, Sajid Ptok, Andrzej |
| author_facet | Sekh, Sajid Ptok, Andrzej |
| contents | Topological superconductivity is currently one of the prime interests, given the properties of its exotic nature of chiral edge states. A broken time-reversal symmetry (TRS) is an essential ingredient in the recipe of a chiral edge state. The Haldane model is one of the many factors that can break TRS in a system. Thus, we explore the possibility of topological superconductivity in the Haldane model under the influence of a conventional superconductor. The edge states originating from such recipes mostly remain outside the superconducting gap. Contrary to this, in the presence of spin-orbit coupling, the edge modes lie within the superconducting gap, and can lead to a gapless state for some range of parameters. Moreover, we use band inversion and projection on the real-space lattice to confirm the topological and chiral nature of the obtained edge states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_09418 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological in-gap chiral edge states in superconducting Haldane model with spin-orbit coupling Sekh, Sajid Ptok, Andrzej Superconductivity Topological superconductivity is currently one of the prime interests, given the properties of its exotic nature of chiral edge states. A broken time-reversal symmetry (TRS) is an essential ingredient in the recipe of a chiral edge state. The Haldane model is one of the many factors that can break TRS in a system. Thus, we explore the possibility of topological superconductivity in the Haldane model under the influence of a conventional superconductor. The edge states originating from such recipes mostly remain outside the superconducting gap. Contrary to this, in the presence of spin-orbit coupling, the edge modes lie within the superconducting gap, and can lead to a gapless state for some range of parameters. Moreover, we use band inversion and projection on the real-space lattice to confirm the topological and chiral nature of the obtained edge states. |
| title | Topological in-gap chiral edge states in superconducting Haldane model with spin-orbit coupling |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2507.09418 |