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

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.