Observation of poiseuille flow of phonons in black phosphorus

Yo Machida, Alaska Subedi, Kazuto Akiba, Atsushi Miyake, Masashi Tokunaga, Yuichi Akahama, Koichi Izawa, Kamran Behnia

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The travel of heat in insulators is commonly pictured as a flow of phonons scattered along their individual trajectory. In rare circumstances, momentum-conserving collision events dominate, and thermal transport becomes hydrodynamic. One of these cases, dubbed the Poiseuille flow of phonons, can occur in a temperature window just below the peak temperature of thermal conductivity. We report on a study of heat flow in bulk black phosphorus between 0.1 and 80 K. We find a thermal conductivity showing a faster than cubic temperature dependence between 5 and 12 K. Consequently, the effective phonon mean free path shows a nonmonotonic temperature dependence at the onset of the ballistic regime, with a size-dependent Knudsen minimum. These are hallmarks of Poiseuille flow previously observed in a handful of solids. Comparing the phonon dispersion in black phosphorus and silicon, we show that the phase space for normal scattering events in black phosphorus is much larger. Our results imply that the most important requirement for the emergence of Poiseuille flow is the facility of momentum exchange between acoustic phonon branches. Proximity to a structural transition can be beneficial for the emergence of this behavior in clean systems, even when they do not exceed silicon in purity.

Original languageEnglish
Article numbereaat3374
JournalScience advances
Volume4
Issue number6
DOIs
Publication statusPublished - Jun 22 2018
Externally publishedYes

Fingerprint

laminar flow
phosphorus
phonons
thermal conductivity
momentum
temperature dependence
silicon
heat transmission
mean free path
ballistics
travel
proximity
purity
hydrodynamics
insulators
trajectories
heat
requirements
collisions
temperature

ASJC Scopus subject areas

  • General

Cite this

Machida, Y., Subedi, A., Akiba, K., Miyake, A., Tokunaga, M., Akahama, Y., ... Behnia, K. (2018). Observation of poiseuille flow of phonons in black phosphorus. Science advances, 4(6), [eaat3374]. https://doi.org/10.1126/sciadv.aat3374

Observation of poiseuille flow of phonons in black phosphorus. / Machida, Yo; Subedi, Alaska; Akiba, Kazuto; Miyake, Atsushi; Tokunaga, Masashi; Akahama, Yuichi; Izawa, Koichi; Behnia, Kamran.

In: Science advances, Vol. 4, No. 6, eaat3374, 22.06.2018.

Research output: Contribution to journalArticle

Machida, Y, Subedi, A, Akiba, K, Miyake, A, Tokunaga, M, Akahama, Y, Izawa, K & Behnia, K 2018, 'Observation of poiseuille flow of phonons in black phosphorus', Science advances, vol. 4, no. 6, eaat3374. https://doi.org/10.1126/sciadv.aat3374
Machida Y, Subedi A, Akiba K, Miyake A, Tokunaga M, Akahama Y et al. Observation of poiseuille flow of phonons in black phosphorus. Science advances. 2018 Jun 22;4(6). eaat3374. https://doi.org/10.1126/sciadv.aat3374
Machida, Yo ; Subedi, Alaska ; Akiba, Kazuto ; Miyake, Atsushi ; Tokunaga, Masashi ; Akahama, Yuichi ; Izawa, Koichi ; Behnia, Kamran. / Observation of poiseuille flow of phonons in black phosphorus. In: Science advances. 2018 ; Vol. 4, No. 6.
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