Influence of Electron-Phonon Interaction on Transport Characteristics of Bound States of Nanowires

Abstract

We have studied the influence of electron-phonon interaction on transport characteristics in the presence of Majorana bound states. In the absence of electron-phonon interaction the quantum dot spectral function showed a line shape characterizing the presence of Majorana bound states. The location of antiresonance points which occurred in the spectrum was determined by the overlap energy between Majorana bound states. It was found that when the Majorana bound states did not overlap the linear conductance was in equal manner attributed to electron tunneling and local Andreev reflection processes at zero temperature. The linear conductance and its components were periodic functions of magnetic flux phase and did not depend on dot energy or finite values of dot Majorana bound state coupling at zero temperature. It was established that the electron tunneling and local Andreev reflection components of linear conductance responded to the change of temperature. A minimal device was made from Majorana bound states coupled to regular fermionic degree of freedom associated with quantum dot and was connected to normal leads. The presence of Majorana bound states was found in the conductance through the quantum dot. The study of transport through the noninteracting quantum dot coupled to metallic leads and connected to topological super conducting nanowires revealed that the presence of Majorana bound states influenced the linear conductance.