Modified Bogoliubov-de Gennes treatment for Majorana conductances in three-terminal transports

作     者：Xin-Qi Li Wei Feng Lupei Qin Jinshuang Jin Xin-Qi Li;Wei Feng;Lupei Qin;Jinshuang Jin

作者机构：Center for Joint Quantum Studies and Department of PhysicsSchool of ScienceTianjin UniversityTianjin 300072China Department of PhysicsHangzhou Normal UniversityHangzhou 310036China 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2022年第65卷第3期

页      面：85-91页

核心收录：

学科分类：07[理学] 070205[理学-凝聚态物理] 0702[理学-物理学] 

基　　金：supported by the National Key Research and Development Program of China(Grant No.2017YFA0303304) the National Natural Science Foundation of China(Grant Nos.11675016,11974011,and61905174) 

主　　题：Majorana conductances three-terminal transports Majorana zero modes 

摘      要：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(Bd G) 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 ∈;→ 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 ∈;-scaling behavior of the teleportation conductance, for verification by experiments.