Seebeck power generation and Peltier cooling in a Normal metal-quantum dot-superconductor nanodevice

We theoretically investigate the Seebeck and Peltier effect across an interacting quantum dot(QD) coupled between a normal metal and a Bardeen-Cooper-Schrieffer superconductor within the Coulomb blockade regime. Our results demonstrate that the thermoelectric conversion efficiency at optimal power output (optimized with respect to QD energy level and external serial load) in NQDS nanodevice can reach up to $58\%\eta_C$, where $\eta_C$ is Carnot efficiency, with output power $P_{max}\approx 35fW$ for temperature below the superconducting transition temperature. Further, the Peltier cooling effect is observed for a wide range of parameter regimes, which can be optimized by varying the background thermal energy, QD level energy, QD-reservoir tunneling strength, and bias voltage. The results presented in this study are within the scope of existing experimental capabilities for designing miniature hybrid devices that operate at cryogenic temperatures.