Sci. China-Phys. Mech. Astron. 65, 237211 (2022)
Modified Bogoliubov-de Gennes treatment for Majorana conductances in three-terminal transports
Xin-Qi Li1,*, Wei Feng1,*, Lupei Qin1 and Jinshuang Jin2
1 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, Tianjin 300072, China.
2 Department of Physics, Hangzhou Normal University, Hangzhou 310036, China.
* xinqi.li@tju.edu.cn, fwphy@tju.edu.cn
Abstract
We consider a two-lead (three-terminal) setup of non-local transport through Majorana zero modes (MZMs) and construct a Majorana master equation (which is also valid for small bias voltages). We first present representative results of current and then show that only a modified Bogoliubov-de Gennes (BdG) treatment can consistently recover the same results. Based on the interplay of the two approaches, we reveal the existence of non-vanishing channels of teleportation and crossed Andreev reflections even at the limit ϵ_M→ 0 (zero coupling energy of the MZMs), which leads to new predictions for the height of the zero-bias-peak of the local conductance and the ϵ_M-scaling behavior of the teleportation conductance, for verification by experiments.
