Majorana bound states in a driven quantum dot

Abstract

We study a periodically driven quantum dot in two different configurations. In the first setup, a quantum dot coupled to a topological superconductor and a normal metal lead. In the second setup, a T-shape quantum dot connected to two topological superconductors and side coupled to a normal metal lead. By a combination of non-equilibrium Green’s function techniques and Floquet’s formalism, we obtain the quasienergy spectra as a function of the amplitude, frequency, and superconducting phase difference. We show that the states develop unique electronic responses, such as the broken particle-hole symmetry that appears when considering the non-locality of Majorana bound states. Finally, we compute the time-average current and the differential conductance to reveal these spectra signatures through physically measurable magnitudes in the two proposed configurations.