Waiting time distributions of the electron transport in a quantum dot coupled to a Majorana bound state

We investigate theoretically the waiting time distribution (WTD) of the sub-gap electron transport through a quantum dot which is coupled to two normal metal leads and one Majorana bound state of a topological superconductor. Using the generalized master equation approach, we calculate and present the analytical expressions of the WTDs. It is found that the WTD is an even function of the energy level of the dot. For comparison, we also consider the case that the quantum dot is side coupled to an ordinary fermionic state. For an ordinary fermionic state, the WTD indicates quite different behavior when tuning the dot energy level with opposite signs. Moreover, we discuss the information contained in the g(2) function to investigate the bunching and antibunching of electron tunneling processes.