Nonequilibrium thermodynamics of acoustic phonons in suspended graphene

Autor: Robin J. Dolleman, Gerard J. Verbiest, Yaroslav M. Blanter, Herre S. J. van der Zant, Peter G. Steeneken
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Physical Review Research, Vol 2, Iss 1, p 012058 (2020)
Druh dokumentu: article
ISSN: 2643-1564
DOI: 10.1103/PhysRevResearch.2.012058
Popis: Recent theory has predicted large temperature differences between the in-plane [longitudinal (LA) and transverse (TA)] and out-of-plane [flexural (ZA)] acoustic phonon baths in locally heated suspended graphene. To verify these predictions, and their implications for understanding the nonequilibrium thermodynamics of two-dimensional (2D) materials, experimental techniques are needed. Here, we present a method to determine the acoustic phonon bath temperatures from the frequency-dependent mechanical response of suspended graphene to a power-modulated laser. The mechanical motion reveals two counteracting contributions to the thermal expansion force, that are attributed to fast positive thermal expansion by the in-plane phonons and slower negative thermal expansion by the out-of-plane phonons. The magnitude of the two forces reveals that the in-plane and flexural acoustic phonons are at very different temperatures in the steady state, with typically observed values of the ratio ΔT_{LA+TA}/ΔT_{ZA} between 0.2 and 3.7. These deviations from the generally used local thermal equilibrium assumption (ΔT_{LA+TA}=ΔT_{ZA}) can affect the experimental analysis of the thermal properties of 2D materials.
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