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Title: Superdiffusive heat conduction in semiconductor alloys. II. Truncated Lévy formalism for experimental analysis

Journal Article · · Physical Review. B, Condensed Matter and Materials Physics
 [1];  [1];  [2];  [1];  [1]
  1. Purdue Univ., West Lafayette, IN (United States)
  2. Univ. of Bordeaux (France)

Nearly all experimental observations of quasiballistic heat flow are interpreted using Fourier theory with modified thermal conductivity. Detailed Boltzmann transport equation (BTE) analysis, yet, reveals that the quasi-ballistic motion of thermal energy in semiconductor alloys is no longer Brownian but instead exhibits Lévy dynamics with fractal dimension α < 2 . In this work, we present a framework that enables full three-dimensional experimental analysis by retaining all essential physics of the quasiballistic BTE dynamics phenomenologically. A stochastic process with just two fitting parameters describes the transition from pure Lévy superdiffusion as short length and time scales to regular Fourier diffusion. The model provides accurate fits to time domain thermoreflectance raw experimental data over the full modulation frequency range without requiring any “effective” thermal parameters and without any a priori knowledge of microscopic phonon scattering mechanisms. Identified α values for InGaAs and SiGe match ab initio BTE predictions within a few percent. Our results provide experimental evidence of fractal Lévy heat conduction in semiconductor alloys. The formalism additionally indicates that the transient temperature inside the material differs significantly from Fourier theory and can lead to improved thermal characterization of nanoscale devices and material interfaces.

Research Organization:
Energy Frontier Research Centers (EFRC) (United States). Center for Energy Efficient Materials (CEEM)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
SC0001009
OSTI ID:
1369779
Alternate ID(s):
OSTI ID: 1179940
Journal Information:
Physical Review. B, Condensed Matter and Materials Physics, Vol. 91, Issue 8; Related Information: CEEM partners with the University of California, Santa Barbara (lead); Purdue University; Los Alamos National Laboratory; National Renewable Energy Laboratory; ISSN 1098-0121
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 51 works
Citation information provided by
Web of Science

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Cited By (10)

Phonon Spectrum and Transient Regimes in the KCM book January 2018
Full-field thermal imaging of quasiballistic crosstalk reduction in nanoscale devices journal January 2018
Collective thermal transport in pure and alloy semiconductors journal January 2018
A simple Boltzmann transport equation for ballistic to diffusive transient heat transport journal April 2015
Cross-plane heat conduction in thin films with ab-initio phonon dispersions and scattering rates journal May 2016
Tutorial: Time-domain thermoreflectance (TDTR) for thermal property characterization of bulk and thin film materials journal October 2018
Phonon hydrodynamics in frequency-domain thermoreflectance experiments journal February 2020
Low-dimensional phonon transport effects in ultranarrow disordered graphene nanoribbons journal April 2015
Unifying first-principles theoretical predictions and experimental measurements of size effects in thermal transport in SiGe alloys journal October 2017
A Simple Boltzmann Transport Equation for Ballistic to Diffusive Transient Heat Transport text January 2015

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