Reprint of : Effect of incoherent scattering on three-terminal quantum Hall thermoelectrics

• Chiral thermoelectrics is affected by decoherence.
• Chirality ensures separated thermalisation of carriers.
• Energy harvesting and heat diode operations are robust in the presence of inelastic scattering.

A three-terminal conductor presents peculiar thermoelectric and thermal properties in the quantum Hall regime: it can behave as a symmetric rectifier and as an ideal thermal diode. These properties rely on the coherent propagation along chiral edge channels. We investigate the effect of breaking the coherent propagation by the introduction of a probe terminal. It is shown that chiral effects not only survive the presence of incoherence but they can even improve the thermoelectric performance in the totally incoherent regime.