Dynamic heat and charge transports through double-quantum-dot-interferometer modulated by Majorana bound states and time-oscillating Aharonov-Bohm flux

Abstract

Dynamic properties of Majorana bound states (MBSs) coupled double-quantum-dot (DQD) interferometer threaded with ac magnetic flux are investigated, and the time-averaged thermal current formulas are derived. Photon-assisted local and nonlocal Andreev reflections contribute efficiently to the charge and heat transports. The modifications of source-drain electric, electric-thermal, thermal conductances (G, xi, kappa ( e )), Seebeck coefficient (S ( c )), and thermoelectric figure of merit (ZT) versus AB phase have been calculated numerically. These coefficients exhibit the shift of oscillation period from 2 pi to 4 pi distinctly due to attaching MBSs. The applied ac flux enhances the magnitudes of G, xi, kappa ( e ) obviously, and the detailed enhancing behaviors are relevant to the energy levels of DQD. The enhancements of S ( c ) and ZT are generated due to the coupling of MBSs, while the application of ac flux suppresses the resonant oscillations. The investigation provides a clue for detecting MBSs through measuring the photon-assisted S ( c ) and ZT versus AB phase oscillations.