The research field of thermal transport in mesoscopic systems is expected to play a major role in both fundamental and applied nanoscale physics. Remarkably, pioneering experiments have achieved phase-coherent control of heat flows in quantum conductors, paving the way for interesting applications, e.g., new logic devices based purely on thermal transport. In this respect, we investigated quantum heat transport properties topological sytems, which offer a promising potential due to the topological robustness of their one dimensional edge states, under the effect of time-dependent potentials.
In particular, we analyzed the interplay between coherent heat transport and spin degree of freedom along the edge states of two-dimensional topological insulators. He showed that, in the presence of two quantum point contacts, an ac field can enstaurate a spin-polarized dc heat current, relying on a quantum pumping mechanism. Interestingly, by looking at the oscillating patterns of this current, one can identify the presence of e-e interactions in the system.
Moreover, we considered the propagation of energy packets along integer and fractional quantum Hall edge states, following the application of a periodic potential, in presence of a quantum point contact. We studied the average heat current fluctuations and mixed charge-heat correlations generated by the random partitioning at the barrier. In addition, we took into account the possibility of simultaneously injecting overlapping energy packets into the edge states.
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