Anomalous Josephson effect between d-wave superconductors through a two-dimensional electron gas with both Rashba spin-orbit coupling and Zeeman splitting

doi:10.1088/1674-1056/accc7f

中国物理B ›› 2023, Vol. 32 ›› Issue (7): 77201-077201.doi: 10.1088/1674-1056/accc7f

Anomalous Josephson effect between d-wave superconductors through a two-dimensional electron gas with both Rashba spin-orbit coupling and Zeeman splitting

Bin-Hao Du(杜彬豪), Mou Yang(杨谋), and Liang-Bin Hu(胡梁宾)^†

Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510631, China

收稿日期:2022-10-18 修回日期:2023-03-17 接受日期:2023-04-13 出版日期:2023-06-15 发布日期:2023-07-05
通讯作者: Liang-Bin Hu E-mail:lbhu26@126.com

Anomalous Josephson effect between d-wave superconductors through a two-dimensional electron gas with both Rashba spin-orbit coupling and Zeeman splitting

Bin-Hao Du(杜彬豪), Mou Yang(杨谋), and Liang-Bin Hu(胡梁宾)^†

Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University, Guangzhou 510631, China

Received:2022-10-18 Revised:2023-03-17 Accepted:2023-04-13 Online:2023-06-15 Published:2023-07-05
Contact: Liang-Bin Hu E-mail:lbhu26@126.com

摘要/Abstract

摘要： Based on the Bogoliubov-de Gennes equation and the extended McMillan's Green's function formalism, we study theoretically the Josephson effect between two d-wave superconductors bridged by a ballistic two-dimensional electron gas with both Rashba spin-orbit coupling and Zeeman splitting. We show that due to the interplay of Rashba spin-orbit coupling and Zeeman splitting and d-wave pairing, the current-phase relation in such a heterostructure may exhibit a series of novel features and can change significantly as some relevant parameters are tuned. In particular, anomalous Josephson current may occur at zero phase bias under various different situations if both time reversal symmetry and inversion symmetry of the system are simultaneously broken, which can be realized by tuning some relevant parameters of the system, including the relative orientations and the strengths of the Zeeman field and the spin-orbit field in the bridge region, the relative orientations of the a axes in two superconductor leads, or the relative orientations between the Zeeman field in the bridge region and the a axes in the superconductor leads. We show that both the magnitude and the direction of the anomalous Josephson current may depend sensitively on these relevant parameters.

关键词: anomalous Josephson effect, d-wave pairing, Rashba spin-orbit coupling, Zeeman splitting

Abstract: Based on the Bogoliubov-de Gennes equation and the extended McMillan's Green's function formalism, we study theoretically the Josephson effect between two d-wave superconductors bridged by a ballistic two-dimensional electron gas with both Rashba spin-orbit coupling and Zeeman splitting. We show that due to the interplay of Rashba spin-orbit coupling and Zeeman splitting and d-wave pairing, the current-phase relation in such a heterostructure may exhibit a series of novel features and can change significantly as some relevant parameters are tuned. In particular, anomalous Josephson current may occur at zero phase bias under various different situations if both time reversal symmetry and inversion symmetry of the system are simultaneously broken, which can be realized by tuning some relevant parameters of the system, including the relative orientations and the strengths of the Zeeman field and the spin-orbit field in the bridge region, the relative orientations of the a axes in two superconductor leads, or the relative orientations between the Zeeman field in the bridge region and the a axes in the superconductor leads. We show that both the magnitude and the direction of the anomalous Josephson current may depend sensitively on these relevant parameters.

Key words: anomalous Josephson effect, d-wave pairing, Rashba spin-orbit coupling, Zeeman splitting

中图分类号: (Spin polarized transport in semiconductors)

72.25.Dc

72.25.Ba (Spin polarized transport in metals) 74.78.Na (Mesoscopic and nanoscale systems) 85.25.Cp (Josephson devices)

Bin-Hao Du(杜彬豪), Mou Yang(杨谋), and Liang-Bin Hu(胡梁宾). Anomalous Josephson effect between d-wave superconductors through a two-dimensional electron gas with both Rashba spin-orbit coupling and Zeeman splitting[J]. 中国物理B, 2023, 32(7): 77201-077201.

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Anomalous Josephson effect between d-wave superconductors through a two-dimensional electron gas with both Rashba spin-orbit coupling and Zeeman splitting

Anomalous Josephson effect between d-wave superconductors through a two-dimensional electron gas with both Rashba spin-orbit coupling and Zeeman splitting

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