We theoretically study the time-averaged heat generation in a quantum dot over one period of an ac bias. By tuning the frequency ω of the ac bias, it is shown that for the definite ω=ωq/k, where ωq is the frequency of the phonon mode and k is an integer number, there appears an sharp resonant energy transfer from the electron subsystem to the phonon subsystem. Such a phenomenon can be interpreted as a consequence of the indirect coupling between the electric oscillation and the nanomechanical vibration via the tunnelling electrons. Moreover, this feature is susceptive to the parameters of transport, by change of which the heat generation will be limited or enhanced as we desire.
Read full abstract