The modulation of Majorana bound states comb through quantum dots.

Performing the scattering matrix approach, we calculate the current noise cross correlation and the differential conductance in the Majorana bound states (MBSs) comb. The teeth on the comb consist of topological super-conducting nanowire sandwiched between two quantum dots (QDs). We find that the nonlocal property of MBSs comb can be effectively modulated by the quantum dots. For only one "QD-MBSs-QD" building block, N = 1, the current noise cross correlation is negative at small bias and becomes positive at lager bias. A zero bias conductance peak of 2 e 2/ h can be found, and it splits with ϵ u increasing, where ϵ u is the energy level of up-part QD. For N ≥ 2, the current noise cross correlation is zero at small bias and becomes positive at larger bias. Different from the case of N = 1, the zero bias conductance peak is 4 e 2/ h due to the local Andreev reflection. Besides, we find that the differential conductance is robust against the influence of N. • The current noise cross correlation and the differential conductance in the Majorana bound states (MBSs) comb are investigated. • The MBSs comb can be effectively modulated by the up-part quantum dots due to the effective resonance between the Majorana bound state and the dot. • For only one "QD-MBSs-QD" building block, N = 1, a zero bias conductance peak of 2 e 2/ h can be found. For N = 2, the zero bias conductance peak is 4 e 2/ h. [ABSTRACT FROM AUTHOR]