Heat Transport in Quantum Thermoelectric Devices

This study introduces a comprehensive framework for quantum thermoelectric circuit theory, specifically focusing on its application in the steady-state regime. We initiate by laying down the foundational aspects of this theory, which involve adapting Kirchhoff's laws to cater to heat currents and temperature gradients. This adaptation is crucial for accurately modeling the flow of thermal energy in quantum circuits. Our methodology extends to include a variety of circuit models that are essential for developing and understanding quantum thermoelectric devices. Among these models are quantum thermal diode, transistor, and Wheatstone bridge. We also develop a quantum thermal step transformer model and a novel concept of quantum thermal adder circuits. This innovative model paves the way for the future development of thermal integrated circuits, which can revolutionize how we design and utilize quantum devices. Overall, our research offers new insights into the architectural possibilities of quantum device engineering. By establishing a solid theoretical foundation and developing advanced models for thermal management in quantum circuits, we are opening up new avenues for exploring and exploiting quantum thermoelectric effects in technology.