The current-induced heat generation in a quantum dot with Andreev-Fano resonance

Triggered by the motivation of conquering the heat bottleneck facing nanoelectronics, we studied the current-induced heat generation in a quantum dot (QD) with the Andreev-Fano (AF) resonance. In the strong electron-phonon interaction regime, the formula of steady heat generation is extended by Nambu representation of nonequilibrium Green's functions. The numerical results demonstrate that for the Normal metal-[Insulator (I), QD]-Superconductor ring, (i) the exact phase locking property of current is destroyed, so is that of heat generation; (ii) the AF resonance with phonon emission plays a vital role in the heating at both T = 0 K and T > - > 0 K; and (iii) the modulation to the heat generation by the magnetic flux acts in a variety of ways for the different effective dot level at the different temperature. We conclude that at both T = 0 K and T > - > 0 K, when the effective dot level is aligned to the Fermi level of the superconducting electrode, the performance of the device becomes optimal.