Spin-polarized pairing induced by the magnetic field in the Bernal bilayer graphene

doi:10.1088/1674-1056/ad102f

中国物理B ›› 2024, Vol. 33 ›› Issue (4): 47403-047403.doi: 10.1088/1674-1056/ad102f

Spin-polarized pairing induced by the magnetic field in the Bernal bilayer graphene

Yan Huang(黄妍) and Tao Zhou(周涛)^†

Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics, Guangdong-Hong Kong Joint Laboratory of Quantum Matter, and Frontier Research Institute for Physics, South China Normal University, Guangzhou 510006, China

收稿日期:2023-09-13 修回日期:2023-11-20 接受日期:2023-11-28 出版日期:2024-03-19 发布日期:2024-03-19
通讯作者: Tao Zhou E-mail:tzhou@scnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 12074130) and the Natural Science Foundation of Guangdong Province (Grant No. 2021A1515012340).

Spin-polarized pairing induced by the magnetic field in the Bernal bilayer graphene

Yan Huang(黄妍) and Tao Zhou(周涛)^†

Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics, Guangdong-Hong Kong Joint Laboratory of Quantum Matter, and Frontier Research Institute for Physics, South China Normal University, Guangzhou 510006, China

Received:2023-09-13 Revised:2023-11-20 Accepted:2023-11-28 Online:2024-03-19 Published:2024-03-19
Contact: Tao Zhou E-mail:tzhou@scnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 12074130) and the Natural Science Foundation of Guangdong Province (Grant No. 2021A1515012340).

摘要/Abstract

摘要： Recent experimental findings have demonstrated the occurrence of superconductivity in Bernal bilayer graphene when induced by a magnetic field. In this study, we conduct a theoretical investigation of the potential pairing symmetry within this superconducting system. By developing a theoretical model, we primarily calculate the free energy of the system with p+ip-wave parallel spin pairing, p+ip-wave anti-parallel spin pairing and d+id-wave pairing symmetry. Our results confirm that the magnetic field is indeed essential for generating the superconductivity. We discover that the p+ip-wave parallel spin pairing leads to a lower free energy for the system. The numerical calculations of the energy band structure, zero-energy spectral function and density of states for each of the three pairing symmetries under consideration show a strong consistency with the free energy results.

关键词: superconductivity, magnetic field induction, pairing symmetry, Bernal bilayer graphene

Abstract: Recent experimental findings have demonstrated the occurrence of superconductivity in Bernal bilayer graphene when induced by a magnetic field. In this study, we conduct a theoretical investigation of the potential pairing symmetry within this superconducting system. By developing a theoretical model, we primarily calculate the free energy of the system with p+ip-wave parallel spin pairing, p+ip-wave anti-parallel spin pairing and d+id-wave pairing symmetry. Our results confirm that the magnetic field is indeed essential for generating the superconductivity. We discover that the p+ip-wave parallel spin pairing leads to a lower free energy for the system. The numerical calculations of the energy band structure, zero-energy spectral function and density of states for each of the three pairing symmetries under consideration show a strong consistency with the free energy results.

Key words: superconductivity, magnetic field induction, pairing symmetry, Bernal bilayer graphene

中图分类号: (Carbon-based superconductors)

74.70.Wz

71.70.Ej (Spin-orbit coupling, Zeeman and Stark splitting, Jahn-Teller effect) 74.20.Rp (Pairing symmetries (other than s-wave))

Yan Huang(黄妍) and Tao Zhou(周涛). Spin-polarized pairing induced by the magnetic field in the Bernal bilayer graphene[J]. 中国物理B, 2024, 33(4): 47403-047403.

Yan Huang(黄妍) and Tao Zhou(周涛). Spin-polarized pairing induced by the magnetic field in the Bernal bilayer graphene[J]. Chin. Phys. B, 2024, 33(4): 47403-047403.

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Spin-polarized pairing induced by the magnetic field in the Bernal bilayer graphene

Spin-polarized pairing induced by the magnetic field in the Bernal bilayer graphene

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