Quantum coherence effects on inelastic thermoelectric devices: From diodes to transistors

We present a study on inelastic thermoelectric devices, wherein charge currents and electronic and phononic heat currents are intricately interconnected. The employment of double quantum dots in conjunction with a phonon bath positions them as promising candidates for quantum thermoelectric diodes and transistors. Within this study, we illustrate that quantum coherence effects yield significant charge and Seebeck rectification effects. It's worth noting that, while the thermal transistor effect is observable in the linear response regime, especially when phonon-assisted inelastic processes dominate the transport, quantum coherence does not enhance thermal amplification. Our work provides valuable insights for the optimization of general thermoelectric devices.