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Title: Geometrical quasi-ballistic effects on thermal transport in nanostructured devices

Abstract

In this work, we employ thermoreflectance thermal imaging to directly measure the steady-state two-dimensional (2D) temperature field generated by nanostructured heat sources deposited on silicon substrate with different geometrical configurations and characteristic sizes down to 400nm. The analysis of the results using Fourier’s law not only breaks down as size scales down, but it also fails to capture the impact of the geometry of the heat source. The substrate effective Fourier thermal conductivities fitted to wire-shaped and circular-shaped structures with identical characteristic lengths are found to display up to 40% mismatch. Remarkably, a hydrodynamic heat transport model reproduces the observed temperature fields for all device sizes and shapes using just intrinsic Si parameters, i.e., a geometry and size-independent thermal conductivity and nonlocal length scale. The hydrodynamic model provides insight into the observed thermal response and of the contradictory Fourier predictions. We discuss the substantial Silicon hydrodynamic behavior at room temperature and contrast it to InGaAs, which shows less hydrodynamic effects due to dominant phonon-impurity scattering.

Authors:
 [1];  [2];  [2]; ORCiD logo [3];  [2];  [2];  [1];  [2];  [1]
  1. Purdue Univ., West Lafayette, IN (United States)
  2. Univ. Autonoma de Barcelona, Catalonia (Spain)
  3. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE; Ministerio de Ciencia, Innovacion y Universidades
OSTI Identifier:
1735407
Grant/Contract Number:  
AC05-00OR22725; RTI2018-097876-B-C22
Resource Type:
Accepted Manuscript
Journal Name:
Nano Research
Additional Journal Information:
Journal Volume: 11; Journal Issue: 5974; Journal ID: ISSN 1998-0124
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; phonon hydrodynamics; nanoscale heat transfer; quasi-ballistic transport; silicon

Citation Formats

Alajlouni, Sami, Beardo, Albert, Sendra, Lluc, Ziabari, Amirkoushyar, Bafaluy, Javier, Camacho, Juan, Xuan, Yi, Alvarez, F. Xavier, and Shakouri, Ali. Geometrical quasi-ballistic effects on thermal transport in nanostructured devices. United States: N. p., 2020. Web. https://doi.org/10.1007/s12274-020-3129-6.
Alajlouni, Sami, Beardo, Albert, Sendra, Lluc, Ziabari, Amirkoushyar, Bafaluy, Javier, Camacho, Juan, Xuan, Yi, Alvarez, F. Xavier, & Shakouri, Ali. Geometrical quasi-ballistic effects on thermal transport in nanostructured devices. United States. https://doi.org/10.1007/s12274-020-3129-6
Alajlouni, Sami, Beardo, Albert, Sendra, Lluc, Ziabari, Amirkoushyar, Bafaluy, Javier, Camacho, Juan, Xuan, Yi, Alvarez, F. Xavier, and Shakouri, Ali. Fri . "Geometrical quasi-ballistic effects on thermal transport in nanostructured devices". United States. https://doi.org/10.1007/s12274-020-3129-6.
@article{osti_1735407,
title = {Geometrical quasi-ballistic effects on thermal transport in nanostructured devices},
author = {Alajlouni, Sami and Beardo, Albert and Sendra, Lluc and Ziabari, Amirkoushyar and Bafaluy, Javier and Camacho, Juan and Xuan, Yi and Alvarez, F. Xavier and Shakouri, Ali},
abstractNote = {In this work, we employ thermoreflectance thermal imaging to directly measure the steady-state two-dimensional (2D) temperature field generated by nanostructured heat sources deposited on silicon substrate with different geometrical configurations and characteristic sizes down to 400nm. The analysis of the results using Fourier’s law not only breaks down as size scales down, but it also fails to capture the impact of the geometry of the heat source. The substrate effective Fourier thermal conductivities fitted to wire-shaped and circular-shaped structures with identical characteristic lengths are found to display up to 40% mismatch. Remarkably, a hydrodynamic heat transport model reproduces the observed temperature fields for all device sizes and shapes using just intrinsic Si parameters, i.e., a geometry and size-independent thermal conductivity and nonlocal length scale. The hydrodynamic model provides insight into the observed thermal response and of the contradictory Fourier predictions. We discuss the substantial Silicon hydrodynamic behavior at room temperature and contrast it to InGaAs, which shows less hydrodynamic effects due to dominant phonon-impurity scattering.},
doi = {10.1007/s12274-020-3129-6},
journal = {Nano Research},
number = 5974,
volume = 11,
place = {United States},
year = {2020},
month = {11}
}

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Works referenced in this record:

Phonon hydrodynamics for nanoscale heat transport at ordinary temperatures
journal, January 2018


Quasi-ballistic thermal transport from nanoscale interfaces observed using ultrafast coherent soft X-ray beams
journal, November 2009

  • Siemens, Mark E.; Li, Qing; Yang, Ronggui
  • Nature Materials, Vol. 9, Issue 1
  • DOI: 10.1038/nmat2568

CCD-based thermoreflectance microscopy: principles and applications
journal, June 2009


Intrinsic lattice thermal conductivity of semiconductors from first principles
journal, December 2007

  • Broido, D. A.; Malorny, M.; Birner, G.
  • Applied Physics Letters, Vol. 91, Issue 23
  • DOI: 10.1063/1.2822891

Direct Solution to the Linearized Phonon Boltzmann Equation
journal, June 2013


Generalized Fourier's law for nondiffusive thermal transport: Theory and experiment
journal, August 2019


Sub-diffraction limit thermal imaging for HEMT devices
conference, March 2015

  • Ziabari, Amirkoushyar; Bahk, Je-Hyeong; Xuan, Yi
  • 2015 31st Thermal Measurement, Modeling & Management Symposium (SEMI-THERM)
  • DOI: 10.1109/SEMI-THERM.2015.7100144

Heat dissipation in quasi-ballistic single-atom contacts at room temperature
journal, December 2019


Phonon hydrodynamics, thermal conductivity, and second sound in two-dimensional crystals
journal, April 2019


Observation of Poiseuille flow of phonons in black phosphorus
journal, June 2018


First principles kinetic-collective thermal conductivity of semiconductors
journal, April 2017


Superdiffusive heat conduction in semiconductor alloys. II. Truncated Lévy formalism for experimental analysis
journal, February 2015


Superdiffusive heat conduction in semiconductor alloys. I. Theoretical foundations
journal, February 2015


Measurement of ballistic phonon conduction near hotspots in silicon
journal, May 2001

  • Sverdrup, P. G.; Sinha, S.; Asheghi, M.
  • Applied Physics Letters, Vol. 78, Issue 21
  • DOI: 10.1063/1.1371536

Emergence of hydrodynamic heat transport in semiconductors at the nanoscale
journal, July 2018


Nonlocal and Nonequilibrium Heat Conduction in the Vicinity of Nanoparticles
journal, August 1996


Characterization of the temperature dependence of the thermoreflectance coefficient for conductive thin films
journal, February 2015

  • Favaloro, T.; Bahk, J. -H.; Shakouri, A.
  • Review of Scientific Instruments, Vol. 86, Issue 2
  • DOI: 10.1063/1.4907354

Solution of the Linearized Phonon Boltzmann Equation
journal, August 1966


The chips are down for Moore’s law
journal, February 2016


Far-field thermal imaging below diffraction limit
journal, January 2020

  • Ziabari, Amirkoushyar; Parsa, Maryam; Xuan, Yi
  • Optics Express, Vol. 28, Issue 5
  • DOI: 10.1364/OE.380866

The size effect and the temperature coefficient of resistance in thin films
journal, April 1978


Phonon Hydrodynamic Heat Conduction and Knudsen Minimum in Graphite
journal, December 2017


A new regime of nanoscale thermal transport: Collective diffusion increases dissipation efficiency
journal, March 2015

  • Hoogeboom-Pot, Kathleen M.; Hernandez-Charpak, Jorge N.; Gu, Xiaokun
  • Proceedings of the National Academy of Sciences, Vol. 112, Issue 16
  • DOI: 10.1073/pnas.1503449112

Role of hydrodynamic viscosity on phonon transport in suspended graphene
journal, March 2018


Direct Measurement of Room-Temperature Nondiffusive Thermal Transport Over Micron Distances in a Silicon Membrane
journal, January 2013


From kinetic to collective behavior in thermal transport on semiconductors and semiconductor nanostructures
journal, April 2014

  • de Tomas, C.; Cantarero, A.; Lopeandia, A. F.
  • Journal of Applied Physics, Vol. 115, Issue 16
  • DOI: 10.1063/1.4871672

Hydrodynamic Heat Transport in Compact and Holey Silicon Thin Films
journal, March 2019


Stable thermoreflectance thermal imaging microscopy with piezoelectric position control
conference, March 2016

  • Shakouri, Alexander; Ziabari, Amirkoushyar; Kendig, Dustin
  • 2016 32nd Thermal Measurement, Modeling & Management Symposium (SEMI-THERM)
  • DOI: 10.1109/SEMI-THERM.2016.7458456

Onset of nondiffusive phonon transport in transient thermal grating decay
journal, November 2011


Anisotropic failure of Fourier theory in time-domain thermoreflectance experiments
journal, October 2014

  • Wilson, R. B.; Cahill, David G.
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms6075