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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2401.12705 |
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| _version_ | 1866917205251194880 |
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| author | Lai, Huan-Wen Wang, Meng-Chien Chang, Ching-Ray Tan, Seng-Ghee |
| author_facet | Lai, Huan-Wen Wang, Meng-Chien Chang, Ching-Ray Tan, Seng-Ghee |
| contents | Recently, topological superconductors have emerged as a pivotal frontier in condensed matter physics, owing to the exotic properties of Majorana quasiparticles residing on edges, surfaces, and vortex cores. In this work, we investigate a two-dimensional s+p wave noncentrosymmetric superconductor (NCS) with Rashba spin-orbit coupling (SOC) on a cylindrical manifold. By employing a thin-layer quantization approach, we derive the effective Bogoliubov-de Gennes (BdG) Hamiltonian to elucidate the interplay between surface curvature and topological phase transitions. Our analytical and numerical results demonstrate that the curvature-induced geometric potential (da Costa potential) and the spatial reconfiguration of spin-momentum locking effectively modulate the superconducting gap. From a band theory perspective, we confirm that curvature serves as a critical tuning parameter, capable of driving topological phase transitions by inducing band inversion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12705 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Curvature effect induces topological phase transitions in two dimensional topological superconductor Lai, Huan-Wen Wang, Meng-Chien Chang, Ching-Ray Tan, Seng-Ghee Superconductivity Recently, topological superconductors have emerged as a pivotal frontier in condensed matter physics, owing to the exotic properties of Majorana quasiparticles residing on edges, surfaces, and vortex cores. In this work, we investigate a two-dimensional s+p wave noncentrosymmetric superconductor (NCS) with Rashba spin-orbit coupling (SOC) on a cylindrical manifold. By employing a thin-layer quantization approach, we derive the effective Bogoliubov-de Gennes (BdG) Hamiltonian to elucidate the interplay between surface curvature and topological phase transitions. Our analytical and numerical results demonstrate that the curvature-induced geometric potential (da Costa potential) and the spatial reconfiguration of spin-momentum locking effectively modulate the superconducting gap. From a band theory perspective, we confirm that curvature serves as a critical tuning parameter, capable of driving topological phase transitions by inducing band inversion. |
| title | Curvature effect induces topological phase transitions in two dimensional topological superconductor |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2401.12705 |