多轨道超导体中自旋轨道耦合导致的偶然零模
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
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).
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。
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
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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