Manipulation of non-linear heat currents in dissipative quantum dot systems

The anomalous behavior of phonon transport due to finite electron-phonon interaction is investigated using an Anderson-Holstein based dissipative quantum dot setup in two relevant cases: (a) electron flow stimulated by the voltage bias in the absence of an electronic temperature gradient and (b) electron flow driven by the electronic temperature gradient at zero voltage. We explain the observation of the cumulative effect of voltage and electronic temperature gradient on the non-linear phonon current with the aid of a new transport coefficient called electron induced phonon thermal conductivity. It is demonstrated that under suitable operating conditions in Case (a), the dot can pump in phonons into the hotter phonon reservoir and in Case (b), the dot can extract phonons out of the colder phonon reservoirs. Finally, we elaborate how the non-linear electronic heat current can be stimulated and controlled by engineering the temperatures of the phonon reservoirs.

References:
[1] The non-linear phonon Peltier effect in dissipative quantum dot systems, B. De and B. Muralidharan, Scientific Reports, 8, 5185, (2018).
[2] Thermoelectric study of dissipative quantum dot heat engines, B. De and B. Muralidharan, Phys. Rev. B, 94, 165416, (2016).