Physical Review B, 105, 245410 (2022)

Transport probe of the nonadiabatic transition caused by moving Majorana zero modes

Luting Xu^* and Xin-Qi Li^†

1 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, Tianjin 300072, China.

* xuluting@dgquanwei.com

† xinqi.li@dgquanwei.com

Abstract

We propose a transport probe scheme to detect the nonadiabatic transition caused by moving Majorana zero modes. The scheme is analyzed theoretically by means of a time-dependent single-electron-wave-function approach to quantum transport. Based on the Kitaev model, we simulate the time-dependent currents and examine the feasibility of using the currents to infer the nonadiabatic transition. In particular, we develop a method to determine the Landau-Zener tunneling ratio in the context of transport, and compare it with the result computed from the same Majorana moving in the isolated quantum wire. Desirable agreements are demonstrated for the whole proposed scheme.