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Quantum bounds for power production, efficiency and thermal currents in thermoelectric nanostructures | | Giuseppe Bevilacqua
; Alessandro Cresti
; Giuseppe Grosso
; Guido Menichetti
; Giuseppe Pastori Parravicini
; | | Date: |
1 Jun 2022 | | Abstract: | The wave-like nature of electrons leads to the existence of upper bounds on
the thermoelectric response of nanostructured devices [R. S. Whitney, Phys.
Rev. Lett. 112, 130601 (2014); Phys. Rev. B 91, 115425 (2015)]. This
fundamental result, not present in classical thermodynamics, was demonstrated
exploiting a two-terminal device modelled by non-linear scattering theory. In
the present paper, we consider non-linear quantum transport through the same
type of device working both as thermal machine and as refrigerator. For both
operations, starting from charge and heat current expressions, we provide
analytic quantum bounds for power exchanged, thermal currents and device
efficiencies. For this purpose, we adopt a thermoelectric system with a
transmission function that corresponds to the quantum bound conditions, and
show that we can recover the result with an alternative simple and transparent
procedure. | | Source: | arXiv, 2206.00294 | | Services: | Forum | Review | PDF | Favorites | |
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