多轨道超导体中自旋轨道耦合导致的偶然零模

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  • 1. 南京大学物理学院,固体微结构物理国家重点实验室,南京 210093; 2. 南京大学人工微结构科学与技术协同创新中心,南京 210093

收稿日期: 2025-09-08

  修回日期: 2025-09-19

  录用日期: 2025-10-01

  网络出版日期: 2025-10-20

基金资助

国家重点研发计划(No. 2022YFA1403201) , 国家自然科学基金 (No. 12374147, 12274205 and 92365203). 

Accidental zero modes in a multiorbital superconductor with spin-orbital coupling 

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  • 1. National Laboratory of Solid State Microstructures & Department of Physics, Nanjing University, Nanjing 210093, China;  2. Collaborative Innovation Center of Advanced Microstructures, Nanjing 210093, China

Received date: 2025-09-08

  Revised date: 2025-09-19

  Accepted date: 2025-10-01

  Online published: 2025-10-20

Supported by

National Key R&D Program of China (Grant No. 2022YFA1403201) and National Natural Science Foundation of China (Grant No. 12374147, 12274205 and 92365203). 

摘要

在拓扑量子计算的背景下, 涡旋芯中的马约拉纳零模引起了广泛关注。然而,零能束缚态 可能偶然出现,并不一定是马约拉纳零模。在实验中必须仔细排除这类偶然零模,以识别真正的 马约拉纳零模。我们的研究表明,在自旋轨道耦合的多带超导体(如铁硒基超导体)中,如果配 对对称性是无节点 d 波(在无自旋轨道耦合的情况下定义),那么涡旋芯中确实会出现偶然零模。 反之,如果配对对称性相对于自旋轨道耦合分裂的费米口袋是 s++ 或 s±,那么在弱自旋轨道耦 合极限下,偶然零模不会出现。我们的结果不仅对马约拉纳零模的实验识别至关重要,也为确定 铁硒基超导体的配对对称性提供了一条途径。

本文引用格式

向 柯, 王 达, 王强华 . 多轨道超导体中自旋轨道耦合导致的偶然零模[J]. 物理学进展, 2025 , 45(5) : 250 -259 . DOI: 10.13725/j.cnki.pip.2025.05.003

Abstract

The Majorana zero modes in vortex cores are of extensive interest in the context of topological quantum computing. However, a zero-energy bound state may arise accidentally but is not necessarily a Majorana zero mode. Such accidental zero modes should be carefully ruled out in experiment in order to identify the genuine Majorana zero modes. We show that in a spin-orbital coupled multi-band superconductor, such as the iron-selenide superconductor, accidental zero modes indeed arise in the vortex core if the pairing symmetry is the so-called nodeless d-wave (defined in the absence of spin-orbital coupling). Instead, if the pairing symmetry is s++ or s± with respect to the Fermi pockets split by the spin-orbital coupling, the accidental zero modes do not appear in the limit of weak spin-orbital coupling. Our results are not only important in the experimental identification of Majorana zero modes, but also provide an avenue to pinpoint the pairing symmetry of the iron-selenide superconductor. 

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