Eur. Phys. J. Plus (2022) 137: 677
https://doi.org/10.1140/epjp/s13360-022-02859-5

Regular Article

Majorana zero mode in the nanowire induced by the gradually changed magnetic field

¹ College of Sciences, Northeastern University, 110819, Shenyang, China
² School of Physics and Technology, University of Jinan, 250022, Jinan, China
³ State Key Laboratory of Rolling and Automation, Northeastern University, 110819, Shenyang, China

^e gwj@mail.neu.edu.cn

Received: 19 October 2021
Accepted: 19 May 2022
Published online: 9 June 2022

Abstract

We theoretically investigate the effect of the gradually changed magnetic field on the appearance of Majorana zero modes at the ends of a strong-Rashba nanowire when it adheres to the s-wave superconductor surface. Results show that the gradually changed magnetic field causes the topological phase transition to display obvious changes, and zero-energy modes have an opportunity to appear in the entire parameter region after the chemical potential adjustment. Meanwhile, the parameter region for Majorana zero mode gradually becomes wider. The other zero-energy mode is the Andreev zero mode, which appears inside the nanowire and shifts with the increase in the magnetic field asymmetry. Next in short nanowires, the coupling between the Majorana zero modes can be suppressed by the gradually changed magnetic field. Our work provides a new idea for exploring the properties of zero modes in nanowires.