Emergence of hydrodynamic heat transport in semiconductors at the nanoscale
Torres, Pol (Universitat Autònoma de Barcelona. Departament de Física)
Ziabari, Amir Koushyar (Birck Nanotechnology Center)
Torello Massana, Alvar (Universitat Autònoma de Barcelona. Departament de Física)
Bafaluy Bafaluy, Javier (Universitat Autònoma de Barcelona. Departament de Física)
Camacho Castro, Juan (Universitat Autònoma de Barcelona. Departament de Física)
Cartoixà Soler, Xavier (Universitat Autònoma de Barcelona. Departament d'Enginyeria Electrònica)
Shakouri, Ali (Birck Nanotechnology Center)
Àlvarez Calafell, Francesc Xavier (Universitat Autònoma de Barcelona. Departament de Física)

Date:	2018
Abstract:	Several recent experiments have demonstrated the failure of the Fourier heat equation in semiconductors at the nanoscale. We show that a generalized heat transport equation including a hydrodynamic term can explain three of these experiments on a silicon substrate: heater lines experiments both in stationary and nonstationary settings and the nonstationary response in grating experiments. To this end, we solve the hydrodynamic heat equation either numerically or analytically. The non-Fourier response observed in those experimental situations can be easily explained in terms of hydrodynamic concepts, such as friction and vorticity. For instance, the experimentally observed increase of thermal boundary resistance as size decreases can be simply understood as an increase of friction. We conclude that, contrary to common belief, hydrodynamics is a fundamental ingredient of semiconductor heat transport in the nanoscale at room temperature, providing physical insight and a unifying framework on the observed non-Fourier response. The relations between hydrodynamic heat transport with phonon momentum conservation and the Boltzmann transport equation are also provided.
Grants:	Ministerio de Economía y Competitividad CSD2010-00044 Ministerio de Economía y Competitividad TEC201567462-C2-2-R Ministerio de Economía y Competitividad TEC201567462-C2-1-R Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1018
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Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Published in:	Physical review materials, Vol. 2, Issue 7 (July 2018) , art. 076001, ISSN 2475-9953

DOI: 10.1103/PhysRevMaterials.2.076001

7 p, 1.0 MB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > Grup de Propietats de Transport a la Nanoescala
Articles > Research articles
Articles > Published articles