Mean free path spectra as a tool to understand thermal conductivity in bulk and nanostructures
Abstract
A rigorous derivation is given for the thermal conductivity accumulation function and mean free path (MFP) spectrum of an isotropic bulk material. The key physical insight is to express the kinetic theory integral in terms of MFP rather than frequency. Extending this framework to incorporate boundary scattering in nanostructures leads to an integral equation that transforms a material's bulk MFP spectrum into the size-dependent thermal conductivity of the nanostructure. The kernel of this transform represents the boundary scattering rule for the particular type of nanostructure. The principal benefit of this transform is that it requires only a single function, the material's bulk MFP spectrum, or equivalently its accumulation function. Explicit knowledge of the material's dispersion relation and frequency-dependent bulk MFPs is not needed, nor is a summation over polarizations, because the bulk MFP spectrum already contains this information in exactly the form required to evaluate boundary scattering. The utility of this framework is demonstrated through a case study of six models for the phonon thermal conductivity of silicon: three analytical, one gray, and two numerical.
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Such bulk phonon mean free path spectra can be extended to predict the thermal conductivity of thin films and nanostructures using the approaches of Yang and Dames.
“Such bulk phonon MFP spectra can be extended to predict the thermal conductivity of thin films and nanostructures using the approaches of Yang and Dames 9 .”
From Broadband phonon mean free path contributions to thermal conductivity measured using frequency domain thermoreflectance (2013) · cites this paper as [9]
With the approaches from Ref. 35, the data in Fig. 2 allows for mapping of thermal conductivity suppression in nanostructured materials and devices.
“With the approaches from Ref. 35 the data in Fig. 2 allows for mapping of thermal conductivity suppression in nanostructured materials and devices.”
From Universal phonon mean free path spectra in crystalline semiconductors at high temperature (2013) · cites this paper as [35]
Cites
Room-Temperature Ultraviolet Nanowire Nanolasers
Huang, M. H., Mao, S. S., Feick, H., Yan, H., Wu, Y., Kind, H., Weber, E. R., Russo, R. E., & Yang, P. (2001) · Science · doi:10.1126/science.1060367 · Cited by 8,922 · see citing works
Numerical Recipes: The Art of Scientific Computing
Ziegel, E. R., Press, W. H., Flannery, B. P., Teukolsky, S. A., & Vetterling, W. T. (1987) · Technometrics · doi:10.2307/1269484 · Cited by 6,704 · see citing works
Nanowire Nanosensors for Highly Sensitive and Selective Detection of Biological and Chemical Species
Cui, Y., Wei, Q., Park, H., & Lieber, C. M. (2001) · Science · doi:10.1126/science.1062711 · Cited by 5,799 · see citing works
High-Thermoelectric Performance of Nanostructured Bismuth Antimony Telluride Bulk Alloys
Poudel, B., Hao, Q., Ma, Y., Lan, Y., Minnich, A. J., Yu, B., Yan, X. X., Wang, D., Muto, A., Vashaee, D., et al. (2008) · Science · doi:10.1126/science.1156446 · Cited by 5,627 · see citing works
Enhanced thermoelectric performance of rough silicon nanowires
Hochbaum, A. I., Chen, R., Delgado, R. D., Liang, W., Garnett, E. C., Najarian, M., Majumdar, A., & Yang, P. (2008) · Nature · doi:10.1038/nature06381 · Cited by 4,109 · see citing works
Model for Lattice Thermal Conductivity at Low Temperatures
Callaway, J. (1959) · Physical Review · doi:10.1103/physrev.113.1046 · Cited by 3,209 · see citing works
Silicon nanowires as efficient thermoelectric materials
Boukai, A. I., Bunimovich, Y. L., Tahir‐Kheli, J., Yu, J.-K., Goddard, W. A., & Heath, J. R. (2008) · Nature · doi:10.1038/nature06458 · Cited by 2,731 · see citing works
The mean free path of electrons in metals
Sondheimer, E. H. (1952) · Advances In Physics · doi:10.1080/00018735200101151 · Cited by 2,622 · see citing works
The conductivity of thin metallic films according to the electron theory of metals
Fuchs, K. P. (1938) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s0305004100019952 · Cited by 2,286 · see citing works
Bulk nanostructured thermoelectric materials: current research and future prospects
Minnich, A. J., Dresselhaus, M. S., Ren, Z., & Chen, G. (2009) · Energy & Environmental Science · doi:10.1039/b822664b · Cited by 2,000 · see citing works
Thermal conductivity of individual silicon nanowires
Li, D., Wu, Y., Kim, P., Shi, L., Yang, P., & Majumdar, A. (2003) · Applied Physics Letters · doi:10.1063/1.1616981 · Cited by 1,767 · see citing works
Thermal Conductivity of Silicon and Germanium from 3°K to the Melting Point
Glassbrenner, C. J., & Slack, G. A. (1964) · Physical Review · doi:10.1103/physrev.134.a1058 · Cited by 1,652 · see citing works
Ziman, J. M. (2001) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198507796.001.0001 · Cited by 1,184 · see citing works
Analysis of Lattice Thermal Conductivity
Holland, M. G. (1963) · Physical Review · doi:10.1103/physrev.132.2461 · Cited by 1,165 · see citing works
Thermal conductivity and ballistic-phonon transport in the cross-plane direction of superlattices
Chen, G. (1998) · Physical review. B, Condensed matter · doi:10.1103/physrevb.57.14958 · Cited by 1,099 · see citing works
Intrinsic lattice thermal conductivity of semiconductors from first principles
Broido, D. A., Malorny, M., Birner, G., Mingo, N., & Stewart, D. A. (2007) · Applied Physics Letters · doi:10.1063/1.2822891 · Cited by 978 · see citing works
Note on the conduction of heat in crystals
Casimir, H. B. G. (1938) · Physica · doi:10.1016/s0031-8914(38)80162-2 · Cited by 883 · see citing works
Nanoscale Energy Transport And Conversion
Chen, G. (2005) · doi:10.1093/oso/9780195159424.001.0001 · Cited by 860 · see citing works
Heat transport in silicon from first-principles calculations
Esfarjani, K., Chen, G., & Stokes, H. T. (2011) · Physical Review B · doi:10.1103/physrevb.84.085204 · Cited by 759 · see citing works
Phonon scattering in silicon films with thickness of order 100 nm
Ju, Y. S., & Goodson, K. E. (1999) · Applied Physics Letters · doi:10.1063/1.123994 · Cited by 653 · see citing works
Morelli, D. T., Heremans, J. P., & Slack, G. A. (2002) · Physical Review B · doi:10.1103/physrevb.66.195304 · Cited by 628 · see citing works
Thermal Conductivity Spectroscopy Technique to Measure Phonon Mean Free Paths
Minnich, A. J., Johnson, J. A., Schmidt, A. J., Esfarjani, K., Dresselhaus, M. S., Nelson, K. A., & Chen, G. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.095901 · Cited by 556 · see citing works
Nanostructured Bulk Silicon as an Effective Thermoelectric Material
Bux, S. K., Blair, R. G., Gogna, P. K., Lee, H., Chen, G., Dresselhaus, M. S., Kaner, R. B., & Fleurial, J. (2009) · Advanced Functional Materials · doi:10.1002/adfm.200900250 · Cited by 515 · see citing works
Size effects in molecular dynamics thermal conductivity predictions
Sellan, D. P., Landry, E. S., Turney, J. E., McGaughey, A. J. H., & Amon, C. H. (2010) · Physical Review B · doi:10.1103/physrevb.81.214305 · Cited by 508 · see citing works
Garg, J., Bonini, N., Kozinsky, B., & Marzari, N. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.045901 · Cited by 491 · see citing works
Wang, Z., Alaniz, J. E., Jang, W., Garay, J. E., & Dames, C. (2011) · Nano Letters · doi:10.1021/nl1045395 · Cited by 462 · see citing works
Self-citationThermal conductivity of germanium crystals with different isotopic compositions
Asen-Palmer, M., Bartkowski, K., Gmelin, E., Cardona, M., Zhernov, A. P., Inyushkin, A. V., Taldenkov, A. N., Ozhogin, V. I., Itoh, K. M., & Häller, E. E. (1997) · Physical review. B, Condensed matter · doi:10.1103/physrevb.56.9431 · Cited by 415 · see citing works
Theoretical phonon thermal conductivity of Si/Ge superlattice nanowires
Dames, C., & Chen, G. (2003) · Journal of Applied Physics · doi:10.1063/1.1631734 · Cited by 401 · see citing works
Self-citationMingo, N., & Yang, L. (2003) · Physical review. B, Condensed matter · doi:10.1103/physrevb.68.245406 · Cited by 398 · see citing works
Henry, A. S., & Chen, G. (2008) · Journal of Computational and Theoretical Nanoscience · doi:10.1166/jctn.2008.2454 · Cited by 391 · see citing works
Chen, G. (1997) · ASME Journal of Heat and Mass Transfer · doi:10.1115/1.2824212 · Cited by 387 · see citing works
Frequency dependence of the thermal conductivity of semiconductor alloys
Koh, Y. K., & Cahill, D. G. (2007) · Physical Review B · doi:10.1103/physrevb.76.075207 · Cited by 383 · see citing works
Thermal conductivity of diamond nanowires from first principles
Li, W., Mingo, N., Lindsay, L., Broido, D., Stewart, D. A., & Katcho, N. A. (2012) · Physical Review B · doi:10.1103/physrevb.85.195436 · Cited by 380 · see citing works
Thermal Conductivity and Phonon Scattering by Magnetic Impurities in CdTe
Slack, G. A., & Galginaitis, S. V. (1964) · Physical Review · doi:10.1103/physrev.133.a253 · Cited by 368 · see citing works
Temperature-Dependent Thermal Conductivity of Single-Crystal Silicon Layers in SOI Substrates
Asheghi, M., Touzelbaev, M. N., Goodson, K. E., Leung, Y.-K., & Wong, S. S. (1998) · ASME Journal of Heat and Mass Transfer · doi:10.1115/1.2830059 · Cited by 368 · see citing works
The electrical conductivity of thin wires
Dingle, R. (1950) · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · doi:10.1098/rspa.1950.0077 · Cited by 353 · see citing works
Phonon-boundary scattering in thin silicon layers
Asheghi, M., Leung, Y. K., Wong, S. S., & Goodson, K. E. (1997) · Applied Physics Letters · doi:10.1063/1.119402 · Cited by 337 · see citing works
Quantifying Surface Roughness Effects on Phonon Transport in Silicon Nanowires
Lim, J., Hippalgaonkar, K., Andrews, S. C., Majumdar, A., & Yang, P. (2012) · Nano Letters · doi:10.1021/nl3005868 · Cited by 333 · see citing works
Predicting the Thermal Conductivity of Si and Ge Nanowires
Mingo, N., Liu, Y., Li, D., & Majumdar, A. (2003) · Nano Letters · doi:10.1021/nl034721i · Cited by 284 · see citing works
Schelling, P. K., Shi, L., & Goodson, K. E. (2005) · Materials Today · doi:10.1016/s1369-7021(05)70935-4 · Cited by 278 · see citing works
Thermal Conductivity Measurements of Ultra-Thin Single Crystal Silicon Layers
Liu, W., & Asheghi, M. (2005) · ASME Journal of Heat and Mass Transfer · doi:10.1115/1.2130403 · Cited by 258 · see citing works
Thermal conductivity of periodic microporous silicon films
Song, D. W., & Chen, G. (2004) · Applied Physics Letters · doi:10.1063/1.1642753 · Cited by 232 · see citing works
Determining Phonon Mean Free Paths from Observations of Quasiballistic Thermal Transport
Minnich, A. J. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.205901 · Cited by 196 · see citing works
Effect of Isotopes on Low-Temperature Thermal Conductivity
Slack, G. A. (1957) · Physical Review · doi:10.1103/physrev.105.829 · Cited by 180 · see citing works
Anisotropic Heat Conduction in Cubic Crystals in the Boundary Scattering Regime
McCurdy, A. K., Maris, H. J., & Elbaum, C. (1970) · Physical review. B, Solid state · doi:10.1103/physrevb.2.4077 · Cited by 165 · see citing works
Variational Calculation of the Thermal Conductivity of Germanium
HAMILTON, R. A. H., & Parrott, J. E. (1969) · Physical Review · doi:10.1103/physrev.178.1284 · Cited by 146 · see citing works
Mesoscopic Size Effects on the Thermal Conductance of Silicon Nanowire
Heron, J.-S., Fournier, T., Mingo, N., & Bourgeois, O. (2009) · Nano Letters · doi:10.1021/nl803844j · Cited by 121 · see citing works
Role of Phonon Dispersion in Lattice Thermal Conductivity Modeling
Chung, J. D., McGaughey, A. J. H., & Kaviany, M. (2004) · ASME Journal of Heat and Mass Transfer · doi:10.1115/1.1723469 · Cited by 119 · see citing works
Picosecond ultrasonic measurements of attenuation of longitudinal acoustic phonons in silicon
Daly, B. C., Kang, K., Wang, Y., & Cahill, D. G. (2009) · Physical Review B · doi:10.1103/physrevb.80.174112 · Cited by 112 · see citing works
Size Effect on the Thermal Conductivity of High-Tc Thin-Film Superconductors
Flik, M. I., & Tien, C. L. (1990) · ASME Journal of Heat and Mass Transfer · doi:10.1115/1.2910494 · Cited by 95 · see citing works
Marked Effects of Alloying on the Thermal Conductivity of Nanoporous Materials
Bera, C., Mingo, N., & Volz, S. G. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.115502 · Cited by 94 · see citing works
Prasher, R., Tong, T., & Majumdar, A. (2007) · Nano Letters · doi:10.1021/nl0721665 · Cited by 52 · see citing works
Micromachined polycrystalline thin film temperature sensors
Jiang, L., Wong, M., & Zohar, Y. (1999) · Measurement Science and Technology · doi:10.1088/0957-0233/10/8/301 · Cited by 29 · see citing works
Transport and boundary scattering in confined geometries: Analytical results
Richardson, R. A., & Nori, F. (1993) · Physical review. B, Condensed matter · doi:10.1103/physrevb.48.15209 · Cited by 13 · see citing works
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Tan, G., Zhao, L., & Kanatzidis, M. G. (2016) · Chemical Reviews · doi:10.1021/acs.chemrev.6b00255 · Cited by 2,367 · see citing works
Emerging challenges and materials for thermal management of electronics
Moore, A. L., & Shi, L. (2014) · Materials Today · doi:10.1016/j.mattod.2014.04.003 · Cited by 2,125 · see citing works
Phonon-engineered extreme thermal conductivity materials
Qian, X., Zhou, J., & Chen, G. (2021) · Nature Materials · doi:10.1038/s41563-021-00918-3 · Cited by 844 · see citing works
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Kang, J. S., Li, M., Wu, H. Y., Nguyen, H., & Hu, Y. (2018) · Science · doi:10.1126/science.aat5522 · Cited by 648 · see citing works
Regner, K. T., Sellan, D. P., Su, Z., Amon, C. H., McGaughey, A. J. H., & Malen, J. A. (2013) · Nature Communications · doi:10.1038/ncomms2630 · Cited by 646 · see citing works
Qiu, L., Zhu, N., Feng, Y., Michaelides, E. E. S., Żyła, G., Jing, D., Zhang, X., Norris, P. M., Markides, C. N., & Mahian, O. (2019) · Physics Reports · doi:10.1016/j.physrep.2019.12.001 · Cited by 527 · see citing works
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Jiang, P., Qian, X., & Yang, R. (2018) · Journal of Applied Physics · doi:10.1063/1.5046944 · Cited by 424 · see citing works
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Hu, Y., Zeng, L., Minnich, A. J., Dresselhaus, M. S., & Chen, G. (2015) · Nature Nanotechnology · doi:10.1038/nnano.2015.109 · Cited by 349 · see citing works
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Zhou, W., Cheng, Y., Chen, K., Xie, G., Wang, T., & Zhang, G. (2019) · Advanced Functional Materials · doi:10.1002/adfm.201903829 · Cited by 325 · see citing works
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Larkin, J. M., & McGaughey, A. J. H. (2014) · Physical Review B · doi:10.1103/physrevb.89.144303 · Cited by 308 · see citing works
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Chen, G. (2021) · Nature Reviews Physics · doi:10.1038/s42254-021-00334-1 · Cited by 305 · see citing works
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Wang, X., Ho, V., Segalman, R. A., & Cahill, D. G. (2013) · Macromolecules · doi:10.1021/ma400612y · Cited by 302 · see citing works
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Anisotropic failure of Fourier theory in time-domain thermoreflectance experiments
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Universal phonon mean free path spectra in crystalline semiconductors at high temperature
Freedman, J. P., Leach, J. H., Preble, E. A., Sitar, Z., Davis, R. F., & Malen, J. A. (2013) · Scientific Reports · doi:10.1038/srep02963 · Cited by 171 · see citing works
Investigation of phonon coherence and backscattering using silicon nanomeshes
Lee, J., Lee, W., Wehmeyer, G., Dhuey, S. D., Olynick, D. L., Cabrini, S., Dames, C., Urban, J. J., & Yang, P. (2017) · Nature Communications · doi:10.1038/ncomms14054 · Cited by 163 · see citing works
Self-citationReconstructing phonon mean-free-path contributions to thermal conductivity using nanoscale membranes
Cuffe, J., Eliason, J. K., Maznev, A. A., Collins, K. C., Johnson, J. A., Shchepetov, A., Prunnila, M., Ahopelto, J., Torres, C. M. S., Chen, G., et al. (2015) · Physical Review B · doi:10.1103/physrevb.91.245423 · Cited by 157 · see citing works
Albdour, S. A., Haddad, Z., Sharaf, O. Z., Alazzam, A., & Abu‐Nada, E. (2022) · Progress in Energy and Combustion Science · doi:10.1016/j.pecs.2022.101037 · Cited by 158 · see citing works
Ballistic Phonon Transport in Holey Silicon
Lee, J., Lim, J., & Yang, P. (2015) · Nano Letters · doi:10.1021/acs.nanolett.5b00495 · Cited by 151 · see citing works
Phonon transport in periodic silicon nanoporous films with feature sizes greater than 100 nm
Jain, A., Yu, Y.-J., & McGaughey, A. J. H. (2013) · Physical Review B · doi:10.1103/physrevb.87.195301 · Cited by 149 · see citing works
Zeng, L., Collins, K. C., Hu, Y., Luckyanova, M. N., Maznev, A. A., Huberman, S., Chiloyan, V., Zhou, J., Huang, X., Nelson, K. A., et al. (2015) · Scientific Reports · doi:10.1038/srep17131 · Cited by 140 · see citing works
Phonon Speed, Not Scattering, Differentiates Thermal Transport in Lead Halide Perovskites
Elbaz, G. A., Ong, W., Doud, E. A., Kim, P., Paley⧓, D. W., Roy, X., & Malen, J. A. (2017) · Nano Letters · doi:10.1021/acs.nanolett.7b02696 · Cited by 141 · see citing works
Size effects on the thermal conductivity of amorphous silicon thin films
Braun, J. L., Baker, C. H., Giri, A., Elahi, M. M. M., Artyushkova, K., Beechem, T. E., Norris, P. M., Leseman, Z. C., Gaskins, J. T., & Hopkins, P. E. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.140201 · Cited by 137 · see citing works
Thermal phonon engineering by tailored nanostructures
Nomura, M., Shiomi, J., Shiga, T., & Anufriev, R. (2018) · Japanese Journal of Applied Physics · doi:10.7567/jjap.57.080101 · Cited by 136 · see citing works
Kang, J. S., Wu, H. Y., & Hu, Y. (2017) · Nano Letters · doi:10.1021/acs.nanolett.7b03437 · Cited by 131 · see citing works
Orientational order controls crystalline and amorphous thermal transport in superatomic crystals
Ong, W., O’Brien, E. S., Dougherty, P. S. M., Paley⧓, D. W., Higgs, C. F., McGaughey, A. J. H., Malen, J. A., & Roy, X. (2016) · Nature Materials · doi:10.1038/nmat4739 · Cited by 133 · see citing works
Phonon hydrodynamics for nanoscale heat transport at ordinary temperatures
Guo, Y., & Wang, M. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.035421 · Cited by 126 · see citing works
Size dictated thermal conductivity of GaN
Beechem, T. E., McDonald, A. E., Fuller, E. J., Talin, A. A., Rost, C. M., Maria, J., Gaskins, J. T., Hopkins, P. E., & Allerman, A. A. (2016) · Journal of Applied Physics · doi:10.1063/1.4962010 · Cited by 124 · see citing works
Advances in the measurement and computation of thermal phonon transport properties
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Regner, K. T., Majumdar, S., & Malen, J. A. (2013) · Review of Scientific Instruments · doi:10.1063/1.4808055 · Cited by 116 · see citing works
Thermal transport in defective and disordered materials
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Evaluating Broader Impacts of Nanoscale Thermal Transport Research
Shi, L., Dames, C., Lukes, J. R., Reddy, P., Duda, J. C., Cahill, D. G., Lee, J., Marconnet, A. M., Goodson, K. E., Bahk, J., et al. (2015) · Nanoscale and Microscale Thermophysical Engineering · doi:10.1080/15567265.2015.1031857 · Cited by 96 · see citing works
Self-citationMonte Carlo simulations of phonon transport in nanoporous silicon and germanium
Jean, V., Fumeron, S., Termentzidis, K., Tutashkonko, S., & Lacroix, D. (2014) · Journal of Applied Physics · doi:10.1063/1.4861410 · Cited by 100 · see citing works
Zhao, K., Ye, F., Cheng, L., Yang, J., & Xu, C. (2023) · Journal of the European Ceramic Society · doi:10.1016/j.jeurceramsoc.2023.07.046 · Cited by 100 · see citing works
Nakamura, Y. (2018) · Science and Technology of Advanced Materials · doi:10.1080/14686996.2017.1413918 · Cited by 99 · see citing works
Cheaito, R., Gaskins, J. T., Caplan, M. E., Donovan, B., Foley, B. M., Giri, A., Duda, J. C., Szwejkowski, C. J., Constantin, C., Brown‐Shaklee, H. J., et al. (2015) · Physical Review B · doi:10.1103/physrevb.91.035432 · Cited by 97 · see citing works
Kargar, F., Debnath, B., Kakko, J., Säynätjoki, A., Lipsanen, H. K., Nika, D. L., Lake, R. K., & Balandin, A. A. (2016) · Nature Communications · doi:10.1038/ncomms13400 · Cited by 96 · see citing works
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Warzoha, R. J., Wilson, A. A., Donovan, B., Donmezer, F. N., Giri, A., Hopkins, P. E., Choi, S., Pahinkar, D. G., Shi, J., Graham, S. L., et al. (2020) · Journal of Electronic Packaging · doi:10.1115/1.4049293 · Cited by 90 · see citing works
Ab initio investigation of single-layer high thermal conductivity boron compounds
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Cross-plane heat conduction in thin films with ab-initio phonon dispersions and scattering rates
Vermeersch, B., Carrete, J., & Mingo, N. (2016) · Applied Physics Letters · doi:10.1063/1.4948968 · Cited by 83 · see citing works
Towards intrinsic phonon transport in single‐layer MoS2
Peng, B., Zhang, H., Shao, H., Xu, Y., Zhang, X., & Zhu, H. (2016) · Annalen der Physik · doi:10.1002/andp.201500354 · Cited by 80 · see citing works
Optical Fiber, Nanomaterial, and THz-Metasurface-Mediated Nano-Biosensors: A Review
Rahman, B. M. A., Viphavakit, C., Chitaree, R., Ghosh, S., Pathak, A. K., Verma, S., & Sakda, N. (2022) · Biosensors · doi:10.3390/bios12010042 · Cited by 77 · see citing works
Collins, K. C., Maznev, A. A., Tian, Z., Esfarjani, K., Nelson, K. A., & Chen, G. (2013) · Journal of Applied Physics · doi:10.1063/1.4820572 · Cited by 76 · see citing works
Hua, C., & Minnich, A. J. (2014) · Semiconductor Science and Technology · doi:10.1088/0268-1242/29/12/124004 · Cited by 75 · see citing works
Steady-state heat transport: Ballistic-to-diffusive with Fourier's law
Maassen, J., & Lundstrom, M. (2015) · Journal of Applied Physics · doi:10.1063/1.4905590 · Cited by 75 · see citing works
Phonon mean free path of graphite along thec-axis
Wei, Z., Yang, J., Chen, W., Bi, K., Li, D., & Chen, Y. (2014) · Applied Physics Letters · doi:10.1063/1.4866416 · Cited by 75 · see citing works
Experimental evidence of very long intrinsic phonon mean free path along the c-axis of graphite
Fu, Q., Yang, J., Chen, Y., Li, D., & Xu, D. (2015) · Applied Physics Letters · doi:10.1063/1.4906348 · Cited by 71 · see citing works
Mode dependent lattice thermal conductivity of single layer graphene
Wei, Z., Yang, J., Bi, K., & Chen, Y. (2014) · Journal of Applied Physics · doi:10.1063/1.4898338 · Cited by 70 · see citing works
Thermal and thermoelectric transport measurements of an individual boron arsenide microstructure
Kim, J., Evans, D. A., Sellan, D. P., Williams, O. M., Ou, E., Cowley, A. H., & Shi, L. (2016) · Applied Physics Letters · doi:10.1063/1.4950970 · Cited by 69 · see citing works
Advances in Studying Phonon Mean Free Path Dependent Contributions to Thermal Conductivity
Regner, K. T., Freedman, J. P., & Malen, J. A. (2015) · Nanoscale and Microscale Thermophysical Engineering · doi:10.1080/15567265.2015.1045640 · Cited by 67 · see citing works
Impact of Phonon Surface Scattering on Thermal Energy Distribution of Si and SiGe Nanowires
Malhotra, A., & Maldovan, M. (2016) · Scientific Reports · doi:10.1038/srep25818 · Cited by 68 · see citing works
Cheaito, R., Polanco, C. A., Addamane, S., Zhang, J., Ghosh, A. W., Balakrishnan, G., & Hopkins, P. E. (2018) · Physical Review B · doi:10.1103/physrevb.97.085306 · Cited by 67 · see citing works
Unusually High and Anisotropic Thermal Conductivity in Amorphous Silicon Nanostructures
Kwon, S., Zheng, J., Wingert, M. C., Cui, S., & Chen, R. (2017) · ACS Nano · doi:10.1021/acsnano.6b07836 · Cited by 65 · see citing works
Disruption of superlattice phonons by interfacial mixing
Huberman, S., Larkin, J. M., McGaughey, A. J. H., & Amon, C. H. (2013) · Physical Review B · doi:10.1103/physrevb.88.155311 · Cited by 62 · see citing works
Anisotropic Thermal Conductivity of Crystalline Layered SnSe 2
Xiao, P., Chávez‐Ángel, E., Chaitoglou, S., Sledzinska, M., Dimoulas, A., Torres, C. M. S., & Sachat, A. E. (2021) · Nano Letters · doi:10.1021/acs.nanolett.1c03018 · Cited by 60 · see citing works
Regner, K. T., McGaughey, A. J. H., & Malen, J. A. (2014) · Physical Review B · doi:10.1103/physrevb.90.064302 · Cited by 56 · see citing works
Tuning phonon transport spectrum for better thermoelectric materials
Hori, T., & Shiomi, J. (2018) · Science and Technology of Advanced Materials · doi:10.1080/14686996.2018.1548884 · Cited by 56 · see citing works
Steady-state heat transport: Ballistic-to-diffusive with Fourier's law
Maassen, J., & Lundstrom, M. (2015) · Purdue e-Pubs (Purdue University System) · Cited by 56 · see citing works
Length dependence of thermal conductivity by approach-to-equilibrium molecular dynamics
Zaoui, H., Palla, P. L., Cleri, F., & Lampin, E. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.94.054304 · Cited by 55 · see citing works
Charab, A. A., Movahedirad, S., & Norouzbeigi, R. (2017) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2017.03.059 · Cited by 55 · see citing works
Ion Write Microthermotics: Programing Thermal Metamaterials at the Microscale
Choe, H. S., Prabhakar, R., Wehmeyer, G., Allen, F. I., Lee, W., Jin, L., Li, Y., Yang, P., Qiu, C., Dames, C., et al. (2019) · Nano Letters · doi:10.1021/acs.nanolett.9b00984 · Cited by 54 · see citing works
Self-citationZhu, T., Yu, G., Xu, J., Wu, H., Fu, C., Liu, X., He, J., & Zhao, X. (2016) · Advanced Electronic Materials · doi:10.1002/aelm.201600171 · Cited by 54 · see citing works
Thermal Characterization and Modelling of AlGaN-GaN Multilayer Structures for HEMT Applications
Mitterhuber, L., Hammer, R., Dengg, T., & Spitaler, J. (2020) · Energies · doi:10.3390/en13092363 · Cited by 53 · see citing works
Romano, G., Esfarjani, K., Strubbe, D. A., Broido, D., & Kolpak, A. M. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.035408 · Cited by 52 · see citing works
Phonon transport properties of bulk and monolayer GaN from first-principles calculations
Jiang, Y., Cai, S., Tao, Y., Wei, Z., Bi, K., & Chen, Y. (2017) · Computational Materials Science · doi:10.1016/j.commatsci.2017.07.012 · Cited by 51 · see citing works
Polar Effects on the Thermal Conductivity of Cubic Boron Nitride under Pressure
Mukhopadhyay, S., & Stewart, D. A. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.025901 · Cited by 51 · see citing works
Flexible Ta/Bi structures for effective radiation shielding against ionizing radiation
Bondaruk, A. A., Tishkevich, D. I., Rotkovich, A. A., German, S. A., Zubar, T. I., Vershinina, T. N., Sayyed, M. I., Silibin, M. V., Dong, M., Hossain, M. K., et al. (2025) · Sensors and Actuators A Physical · doi:10.1016/j.sna.2025.116229 · Cited by 50 · see citing works
Limits to Fourier theory in high thermal conductivity single crystals
Wilson, R. B., & Cahill, D. G. (2015) · Applied Physics Letters · doi:10.1063/1.4935987 · Cited by 50 · see citing works
Acoustic phonon spectrum and thermal transport in nanoporous alumina arrays
Kargar, F., Ramirez, S., Debnath, B., Malekpour, H., Lake, R. K., & Balandin, A. A. (2015) · Applied Physics Letters · doi:10.1063/1.4934883 · Cited by 48 · see citing works
Heat Conduction in Nanostructured Materials Predicted by Phonon Bulk Mean Free Path Distribution
Romano, G., & Grossman, J. C. (2015) · ASME Journal of Heat and Mass Transfer · doi:10.1115/1.4029775 · Cited by 46 · see citing works
Engineering Nanoscale Thermal Transport: Size- and Spacing-Dependent Cooling of Nanostructures
Frazer, T. D., Knobloch, J. L., Hoogeboom-Pot, K. M., Nardi, D., Chao, W. L., Falcone, R. W., Murnane, M. M., Kapteyn, H. C., & Hernández-Charpak, J. N. (2019) · Physical Review Applied · doi:10.1103/physrevapplied.11.024042 · Cited by 46 · see citing works
Phonon-eigenspectrum-based formulation of the atomistic Green's function method
Sadasivam, S., Waghmare, U. V., & Fisher, T. S. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.96.174302 · Cited by 45 · see citing works
Optic phonon bandwidth and lattice thermal conductivity: The case of Li2X ( X=O , S, Se, Te)
Mukhopadhyay, S., Lindsay, L., & Parker, D. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.224301 · Cited by 45 · see citing works
Nataj, Z. E., Xu, Y., Wright, D., Brown, J., Garg, J., Chen, X., Kargar, F., & Balandin, A. A. (2023) · Nature Communications · doi:10.1038/s41467-023-38508-3 · Cited by 44 · see citing works
Su, Z., Freedman, J. P., Leach, J. H., Preble, E. A., Davis, R. F., & Malen, J. A. (2013) · Journal of Applied Physics · doi:10.1063/1.4808238 · Cited by 43 · see citing works
Iyer, S. S., & Candler, R. N. (2016) · Physical Review Applied · doi:10.1103/physrevapplied.5.034002 · Cited by 43 · see citing works
Role of low-energy phonons with mean-free-paths &gt;0.8 <i>μ</i>m in heat conduction in silicon
Jiang, P., Lindsay, L., & Koh, Y. K. (2016) · Journal of Applied Physics · doi:10.1063/1.4954674 · Cited by 42 · see citing works
Scaling laws of cumulative thermal conductivity for short and long phonon mean free paths
Aketo, D., Shiga, T., & Shiomi, J. (2014) · Applied Physics Letters · doi:10.1063/1.4896844 · Cited by 42 · see citing works
Péraud, J.-P. M., & Hadjiconstantinou, N. G. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.045424 · Cited by 42 · see citing works
Mean free path dependent phonon contributions to interfacial thermal conductance
Tao, Y., Liu, C., Chen, W., Cai, S., Chen, C., Wei, Z., Bi, K., Yang, J., & Chen, Y. (2017) · Physics Letters A · doi:10.1016/j.physleta.2017.03.020 · Cited by 42 · see citing works
Yang, F., & Dames, C. (2015) · Physical Review B · doi:10.1103/physrevb.91.165311 · Cited by 41 · see citing works
Self-citationGiftBTE: an efficient deterministic solver for non-gray phonon Boltzmann transport equation
Hu, Y., Jia, R., Xu, J., Sheng, Y., Wen, M., Lin, J., Shen, Y., & Bao, H. (2023) · Journal of Physics Condensed Matter · doi:10.1088/1361-648x/acfdea · Cited by 40 · see citing works
A simple Boltzmann transport equation for ballistic to diffusive transient heat transport
Maassen, J., & Lundstrom, M. (2015) · Journal of Applied Physics · doi:10.1063/1.4916245 · Cited by 40 · see citing works
Phonon Scattering by Dislocations in GaN
Wang, T., Carrete, J., Mingo, N., & Madsen, G. K. H. (2019) · ACS Applied Materials & Interfaces · doi:10.1021/acsami.8b17525 · Cited by 40 · see citing works
Hua, Y., & Cao, B. (2016) · Applied Thermal Engineering · doi:10.1016/j.applthermaleng.2016.05.157 · Cited by 39 · see citing works
Smart integration of silicon nanowire arrays in all-silicon thermoelectric micro-nanogenerators
Fonseca, L., Santos, J. D., Roncaglia, A., Narducci, D., Calaza, C., Salleras, M., Dönmez, İ., Tarancón, A., Morata, À., Gadea, G., et al. (2016) · Semiconductor Science and Technology · doi:10.1088/0268-1242/31/8/084001 · Cited by 38 · see citing works
Hu, Y., Li, S., & Bao, H. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.103.104301 · Cited by 37 · see citing works
Wei, Z., Yang, F., Bi, K., Yang, J., & Chen, Y. (2016) · Carbon · doi:10.1016/j.carbon.2016.11.055 · Cited by 37 · see citing works
Self-citationLiang, X. M. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.95.155313 · Cited by 37 · see citing works
Solution-Processed Cu2Se Nanocrystal Films with Bulk-Like Thermoelectric Performance
Forster, J. D., Lynch, J. J., Coates, N. E., Líu, J., Jang, H., Zaia, E. W., Gordon, M. P., Szybowski, M., Sahu, A., Cahill, D. G., et al. (2017) · Scientific Reports · doi:10.1038/s41598-017-02944-1 · Cited by 37 · see citing works
Sobolev, S. L. (2017) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2016.12.051 · Cited by 36 · see citing works
Electron–phonon scattering effect on the lattice thermal conductivity of silicon nanostructures
Fu, B., Tang, G. H., & Li, Y. (2017) · Physical Chemistry Chemical Physics · doi:10.1039/c7cp04638c · Cited by 36 · see citing works
- Authors
- Yang, F., & Dames, C.
- Affiliations
- University of California, Berkeley (US)
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2013-01-31
- Volume
- 87
- Issue
- 3
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W2328394108
- Cited by
- 283
- References
- 54
- Citations by year
- 2026: 13 · 2025: 20 · 2024: 13 · 2023: 18 · 2022: 18 · 2021: 23 · 2020: 17 · 2019: 21 · 2018: 23 · 2017: 32 · 2016: 34 · 2015: 27 · 2014: 14 · 2013: 10
- FWCI
- 12.78
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review B (publishedVersion)
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Thermal properties of materials
- Physical Sciences › Engineering › Mechanics of Materials › Thermoelastic and Magnetoelastic Phenomena
- Physical Sciences › Engineering › Civil and Structural Engineering › Thermal Radiation and Cooling Technologies
- Keywords
- lattice thermal conductivity, boundary scattering, nanostructures, size-dependent thermal conductivity, silicon, phonon dispersion
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