Aharonov-Bohm effect modified by the Majorana bound states in a parallel double-quantum-dot structure

By considering two topological superconductors to be side-coupled to the quantum dots of the parallel double-quantum-dot structure, we investigate the influence of Majorana bound states (MBSs) on the Aharonov-Bohm (AB) effect in the electron transport processes. It is found that due to the nonzero Andreev reflection induced by MBSs, the AB oscillation of the conductance spectra displays nontrivial variations, manifested as the changes of the maximum and minimum of the conductance. Even in the presence of symmetric bias voltage, the coexistence of local and crossed Andreev reflections leads to the new relationship between the conductance magnitude and magnetic flux phase factor. The results of low-bias Fano factors show that all these phenomena are related to the interplay between the respective transport processes which are determined by the AB effect and dot-MBS coupling manners. It can be believed that the findings in this work can be helpful in further understanding the transport properties of the parallel double quantum dots with the side-coupling of MBSs.