Role of phonon anharmonicity in time-domain thermoreflectance measurements

Using ab-initio calculations, we argue that the apparent frequency dependence of the thermal conductivity measured by time-domain thermoreflectance (TDTR) is majorly determined by the balance between harmonic (elastic) and anharmonic (inelastic) phonon channels, and not by ballistic phonons. The match between this theory and experiment is closer than that obtained with previous models. Concrete trends in frequency and temperature dependence are predicted. Reinterpreting frequency modulated time-domain thermoreflectance in terms of elastic vs. inelastic channels explains the markedly different behavior between alloys and non-alloys, and the approach can in principle be applied to other nanostructured material systems.

[1]  Amelia Carolina Sparavigna,et al.  On the isotope effect in thermal conductivity of silicon , 2004 .

[2]  N. Mingo,et al.  Role of light and heavy embedded nanoparticles on the thermal conductivity of SiGe alloys , 2011, 1108.6137.

[3]  N. Mingo,et al.  First-principles calculation of the isotope effect on boron nitride nanotube thermal conductivity. , 2009, Nano letters.

[4]  M. Dresselhaus,et al.  Thermal conductivity spectroscopy technique to measure phonon mean free paths. , 2011, Physical review letters.

[5]  David G. Cahill,et al.  Frequency dependence of the thermal conductivity of semiconductor alloys , 2007 .

[6]  D. Cahill Thermal conductivity measurement from 30 to 750 K: the 3ω method , 1990 .

[7]  Gernot Deinzer,et al.  Ab initio theory of the lattice thermal conductivity in diamond , 2009 .

[8]  E. Haller,et al.  Isotope effect in the thermal conductivity of germanium single crystals , 1996 .

[9]  N. Mingo,et al.  Thermal conduction mechanisms in boron nitride nanotubes: Few-shell versus all-shell conduction , 2008 .

[10]  Clemens,et al.  Time-resolved thermal transport in compositionally modulated metal films. , 1988, Physical review. B, Condensed matter.

[11]  G. Eesley,et al.  Transient thermoreflectance from metal films. , 1986, Optics letters.

[12]  Xiao Liu,et al.  Anomalously high thermal conductivity of amorphous Si deposited by hot-wire chemical vapor deposition , 2010 .

[13]  N. Mingo,et al.  Intrinsic lattice thermal conductivity of semiconductors from first principles , 2007 .

[14]  D. Cahill Analysis of heat flow in layered structures for time-domain thermoreflectance , 2004 .

[15]  Stefan Dilhaire,et al.  Heterodyne picosecond thermoreflectance applied to nanoscale thermal metrology , 2011 .

[16]  Natalio Mingo,et al.  Thermal conductivity of diamond nanowires from first principles , 2012 .

[17]  Boris Kozinsky,et al.  Role of disorder and anharmonicity in the thermal conductivity of silicon-germanium alloys: a first-principles study. , 2011, Physical review letters.

[18]  Bekir Sami Yilbas,et al.  Quasiballistic heat transfer studied using the frequency-dependent Boltzmann transport equation , 2011 .

[19]  A. Majumdar,et al.  Nanoscale thermal transport , 2003, Journal of Applied Physics.