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arXiv 2401.12705cond-mat.supr-con
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曲率效应在二维拓扑超导体中引发拓扑相变

Curvature effect induces topological phase transitions in two dimensional topological superconductor

Chung Yuan Christian University(中原大学);National Taiwan University(台湾大学);Chinese Culture University(中国文化大学)

Huan-Wen Lai, Meng-Chien Wang, Ching-Ray Chang, Seng-Ghee Tan

AI总结:

本研究通过曲率效应调控二维拓扑超导体的拓扑相变,揭示曲率对超导能隙和带倒转的影响。

摘要:

最近,拓扑超导体作为凝聚态物理领域的重要前沿出现,得益于Majorana准粒子在边缘、表面和涡旋核心处的奇特性质。在本工作中,我们研究了一种二维s+p波非中心对称超导体(NCS),其在圆柱形流形上具有Rashba自旋轨道耦合(SOC)。通过采用薄层量化方法,我们推导出有效的Bogoliubov-de Gennes(BdG)哈密顿量,以阐明曲率与拓扑相变之间的相互作用。我们的分析和数值结果表明,曲率诱导的几何势能(da Costa势能)和自旋动量锁定的空间重构有效调节了超导能隙。从带理论的角度,我们确认曲率作为一种关键调节参数,能够通过诱导带倒转来驱动拓扑相变。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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