Paper Title
Nonequilibrium Phonon-Assisted Current Tunneling Through A Quantum Dot-Topological Superconducting Nanowire Device

Abstract
We investigate the phonon-assisted Majorana bound states-induced transport through a quantum dot coupled to normal leads when the system is driven out of equilibrium. The dot connects to a Majorana bound state which is located at one of the ends of a topological superconducting nanowire. The dot electrons interact with a single long-wave optical phonon mode which leads to phonon-assisted transport characteristics. We used the canonical transformation combined with the nonequilibrium Green’s function formalism in order to treat the electron-phonon interaction. The retarded Green’s functions are calculated by employing the equation of motion method. The effect of electron-phonon interaction on transport properties of the system is analyzed in two cases, weak and strong electron-phonon interaction. The current exhibits a step-like shape which is highly influenced by the strong electron-phonon coupling strength. The spectral function depends on the bias voltage only when the localized electrons strongly interact with the phonon mode. Phonon-assisted satellite peaks emerge in the spectrum of differential conductance as the electron-phonon interaction strength is amplified. Acknowledgments - L. M. and D. S. were supported by a grant of the Ministry of Research, Innovation and Digitalization, CNCS/CCCDI – UEFISCDI, under project number PN-III-P1-1.1-TE-2019- 0423, within PNCDI III. Keywords - Quantum Dots, Majorana Bound States, Electron-Phonon Interaction