Shot noise in superconducting wires with a periodic modulation of the chemical potential

We investigate the shot noise in superconducting wires under the periodic modulation of the chemical potential. The nonequilibrium Green׳s function technique is employed, and the formula for current and shot noise is obtained. The coupling between the Majorana bound states at ends of wire can be tuned by the periodic modulation of chemical potential. It is related with the strength A and the phase δ intimately. The current, shot noise and the corresponding Fano factor display oscillation behavior as the strength A increases. In addition, the coupling between Majorana bound states can be suppressed by strong coupling between leads and superconducting wire.