Thermal control across a chain of electronic nanocavities

Jussiau, Étienne; Manikandan, Sreenath K.; Bhandari, Bibek; Jordan, Andrew N.

doi:10.1103/physrevb.104.045414

Title: Thermal control across a chain of electronic nanocavities

Journal Article · 16 July 2021 · Physical Review. B

DOI: https://doi.org/10.1103/physrevb.104.045414 · OSTI ID:1852440

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Univ. of Rochester, NY (United States); OSTI
Univ. of Rochester, NY (United States)
Univ. of Rochester, NY (United States); Scuola Normale Superiore (SNS), Pisa (Italy)
Univ. of Rochester, NY (United States); Chapman Univ., Orange, CA (United States)

Here, we study a chain of alternating hot and cold electronic nanocavities—connected to one another via resonant-tunneling quantum dots—with the intent of achieving precise thermal control across the chain. This is accomplished by positioning the dots' energy levels such that a predetermined distribution of heat currents is realized across the chain in the steady state. The number of electrons in each cavity is conserved in the steady state which constrains the cavities' chemical potentials. We determine these chemical potentials analytically in the linear response regime where the energy differences between the dots' resonant levels and the neighboring chemical potentials are much smaller than the thermal energy. In this regime, the thermal control problem can be solved exactly, while, in the general case, thermal control can only be achieved in a relative sense, that is, when one only preassigns the ratios between different heat currents. We apply our results to two different cases: We first demonstrate that a “heat switch” can be easily realized with three coupled cavities, and then we show that our linear response results can provide accurate results in situations with a large number of cavities.

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Research Organization:: Univ. of Rochester, NY (United States); University of Rochester, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0017890

OSTI ID:: 1852440

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 4 Vol. 104; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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