4?-periodic anomalous Josephson effect between Majorana zero modes

Liu, Jun-Feng1; Tan, Hui1; Fu, Pei-Hao2; Wang, Jun3; Ma, Zhongshui4,5

2022-07-05

10.1103/PhysRevB.106.035404

PHYSICAL REVIEW B   影响因子和分区

2469-9950

2469-9969

Usually the Josephson current is driven by the superconducting phase difference ?? between two superconducting leads. Here we propose an anomalous Josephson current between two Majorana nanowires, which can be driven by both the superconducting phase difference ?? and the orientation difference ?? between the Zeeman fields in two Majorana wires. We show that the orientation of the Zeeman field acts as an effective superconducting phase under appropriate conditions, which provides a new signature of Majorana zero modes. Due to the presence of Majorana zero modes, the anomalous Josephson current is 4?? periodic in both ?? and ??. When both ?? and ?? are periodically varying, we predict the existence of peaks in the average Josephson current, which are the analog to Shapiro steps in the ac Josephson effect. Similarly, the existence of Majorana zero modes can be confirmed by the missing of odd peaks. The findings provide a scheme to experimentally verify the 4?? -periodic Josephson effect, as well as a platform to realize the anomalous Josephson junction.

SCI ; EI

英语

其他

National Natural Science Foundation of China (NSFC)["12174077","12174051"] ; National Natural Science Foundation of Guangdong Province[2021A1515012363]

Materials Science ; Physics

Materials Science, Multidisciplinary ; Physics, Applied ; Physics, Condensed Matter

WOS:000823811300003

AMER PHYSICAL SOC

20223112452049

Quantum optics

Light/Optics:741.1 ; Quantum Theory; Quantum Mechanics:931.4

PHYSICS

Web of Science

1.Guangzhou Univ, Sch Phys & Mat Sci, Guangzhou 510006, Peoples R China
2.Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China
3.Southeast Univ, Dept Phys, Nanjing 210096, Peoples R China
4.Peking Univ, Sch Phys, Beijing 100871, Peoples R China
5.Collaborat Innovat Ctr Quantum Matter, Beijing 100871, Peoples R China

Liu, Jun-Feng,Tan, Hui,Fu, Pei-Hao,et al. 4?-periodic anomalous Josephson effect between Majorana zero modes[J]. PHYSICAL REVIEW B,2022,106(3).

Liu, Jun-Feng,Tan, Hui,Fu, Pei-Hao,Wang, Jun,&Ma, Zhongshui.(2022).4?-periodic anomalous Josephson effect between Majorana zero modes.PHYSICAL REVIEW B,106(3).

Liu, Jun-Feng,et al."4?-periodic anomalous Josephson effect between Majorana zero modes".PHYSICAL REVIEW B 106.3(2022).