We study the Josephson effect in the spin-singlet superconductor/altermagnet/spin-triplet superconductor junctions using the Green's function method. The current-phase difference relationships in the junctions strongly depend on the orientation of altermagnet and the types of the Cooper pairs. For the orientation angle equal to odd multiples of $π/4$, the current-phase difference relationships are of the $\sin{2ϕ}$ type, which are irrespective of the pairing wave functions in superconductors. For the other orientation angles, the emergence of the lowest order current becomes possible and its form, $\sinϕ$ or $\cosϕ$, depends on the pairing wave functions in superconductors. The $ϕ_{0}$ phase and the $0$-$π$ transition can be realized in our junctions due to the appearance of the lowest order current. The selection rules for the lowest order current are presented. The symmetric relations satisfied by the current-phase difference relationships are analyzed through considering the transformations of the junctions under the mirror reflection, the time-reversal and the spin rotation operations. Our results not only provide a method to detect the intrinsic spin-triplet superconductivity but also possess application values in the design of the field-free quantum devices.
Phase-Controlled Majorana Zero Modes in Altermagnetic Topological-Insulator Josephson Junctions
Huazhong University of Science and Technology（华中科技大学）；Tsung-Dao Lee Institute（李政道研究所）；School of Physics and Astronomy, Shanghai Jiao Tong University（上海交通大学物理与天文学院）；High Magnetic Field Laboratory, HFIPS, Chinese Academy of Sciences（中国科学院合肥物质科学研究院高磁场实验室）；College of Physics and Optoelectronic Engineering, Department of Physics, Jinan University（暨南大学物理与光电工程学院）；Hefei National Laboratory（合肥国家实验室）；Shanghai Research Center for Quantum Sciences（上海量子科学研究中心）
Altermagnetic spin textures coupled to superconductors: Domain wall spin-triplet superconductivity and supercurrent-induced torques
Hearne Institute of Theoretical Physics, Department of Physics & Astronomy, Louisiana State University（路易斯安那州立大学物理与天文学系赫恩理论物理研究所）；Institute for Theoretical Physics III, University of Stuttgart（斯图加特大学理论物理第三研究所）
研究与传统 s 波超导体耦合的交变磁体中库珀对形式，考虑交变磁序参量空间不均匀性，发现超导性受交变磁畴影响，有三重态热点等，还存在超电流与交变磁序的相互作用，为相关研究提供独特机会。
Josephson diode and spin-valve effects on the surface of altermagnet CrSb
Institute of Solid State Physics of the Russian Academy of Sciences（俄罗斯科学院固体物理研究所）；V.L. Ginzburg Research Centre for High-Temperature Superconductivity and Quantum Materials, P.N. Lebedev Physical Institute of RAS（俄罗斯科学院列别杰夫物理研究所V.L.金兹堡高温超导与量子材料研究中心）
Spin-Polarized Josephson Supercurrent in Nodeless Altermagnets
Zhejiang University（浙江大学）；Hefei National Laboratory（合肥国家实验室）；University of Science and Technology of China（中国科学技术大学）；University of Chinese Academy of Sciences（中国科学院大学）
Spin triplet pairing by suppressing altermagnetism
Center for Correlated Matter and School of Physics, Zhejiang University（浙江大学关联物质中心与物理学院）；Department of Physics, The Hong Kong University of Science and Technology（香港科技大学物理系）；School of Physics, Hangzhou Normal University（杭州师范大学物理学院）；Institute for Advanced Study in Physics, Zhejiang University（浙江大学物理高等研究院）
Josephson effects in the spin-triplet superconductor/altermagnet/spin-triplet superconductor junctions: the detection of the intrinsic $\bf{d}$-vector
School of Science, Qingdao University of Technology（青岛理工大学理学院）；International Center for Quantum Materials, School of Physics, Peking University（北京大学物理学院量子材料科学中心）；Hefei National Laboratory（合肥国家实验室）
Phase Transitions in Disordered Altermagnetic Josephson Junctions
Hefei National Laboratory（合肥国家实验室）；School of Emerging Technology, University of Science and Technology of China（中国科学技术大学先进技术研究院）；Institute for Theoretical Physics and Astrophysics, University of Würzburg（维尔茨堡大学理论物理与天体物理研究所）
Spin transport in a normal meta-altermagnetic superconducting nanowire junction
International Center for Quantum Materials, School of Physics, Peking University（北京大学物理学院量子材料国际中心）；Hefei National Laboratory（合肥国家实验室）；Beijing Academy of Quantum Information Sciences（北京量子信息科学研究院）
Direction-selective triplet pairing and spin-edge locking in altermagnetic metals
South China Normal University（华南师范大学）；Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter（物质结构与基本相互作用广东省基础研究中心）；Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials（广东省量子工程与量子材料重点实验室）；Guangdong-Hong Kong Joint Laboratory of Quantum Matter（粤港澳量子物质联合实验室）；Frontier Research Institute for Physics（物理前沿研究院）
Dynamical Josephson Effect Between a Singlet and a Triplet Superconductor
Norwegian University of Science and Technology（挪威科技大学）；Imperial College London（伦敦帝国理工学院）；University at Buffalo, State University of New York（纽约州立大学布法罗分校）
Intrinsic Andreev $π$-reflection and Josephson $π$-junction for centrosymmetric spin-triplet superconductors
本文系统地研究了Andreev $π$ -相位和轨道相位对约瑟夫森效应的影响。当系统是中心对称的时反不变性时，这两个相位只出现在奇宇称对中。Andreev $π$ -相位与奇宇称对的具体形式无关，并且意味着在Andreev反射中进入和离开CTSC的自旋三重态库珀对之间的固有$π$ -相位。轨道相位对应于具有相反自旋极化的自旋三重态库珀对之间的相位差，并取决于奇宇称能隙函数的具体形式。当约瑟夫森结的正常区与具有特定奇宇称配对的CTSC同一侧接触时，两相之间的竞争可以导致约瑟夫森$π$结。注意，该结不同于传统的约瑟夫森结（JJ），并且根据其几何形状被称为U形结。同时，在常规JJ中，这两个阶段的相互作用导致它们对CPR的影响被完全抵消。因此，无论CTSC具有什么样的配对对称性，在这种情况下都将导致约瑟夫森0结。我们得到我们的结果的基础上的模型的M $_{x}$ Bi $_2$ Se $_3$家族，其中M可以是Cu，Sr，或Nb。因此，我们提出了通过一个U形约瑟夫森结的超导量子干涉装置来检测M $_{x}$ Bi $_2$ Se $_3$的配对对称性。
Dynamical Steering and Unambiguous Signature of Majorana Corner Modes in Altermagnetic Josephson Junctions
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, South China Normal University（华南师范大学物理学院）；Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Frontier Research Institute for Physics, South China Normal University（华南师范大学前沿物理研究院）
Interplay between Superconductivity and Altermagnetism in Disordered Materials and Heterostructures
Centro de Física de Materiales (CFM-MPC) Centro Mixto CSIC-UPV/EHU（材料物理中心（CFM-MPC）CSIC-UPV/EHU联合中心）；Universidad del País Vasco (UPV/EHU)（巴斯克地区大学（UPV/EHU））；Department of Physics and Nanoscience Center, University of Jyväskylä（约恩苏大学物理与纳米科学中心）；Donostia International Physics Center (DIPC)（圣塞巴斯蒂安国际物理中心（DIPC））；Departamento de Polimeros y Materiales Avanzados, Universidad del Pais Vasco UPV/EHU（巴斯克地区大学UPV/EHU先进聚合物与材料系）；IKERBASQUE, Basque Foundation for Science（伊克尔巴斯科，巴斯克科学基金会）
