Determining Phonon Mean Free Paths from Observations of Quasiballistic Thermal Transport
Abstract
The mean free paths (MFPs) of thermal phonons are mostly unknown in many solids. Recent work indicates that MFPs may be measured using experimental observations of quasiballistic thermal transport, but the precise relationship between the measurements and the MFP distribution remains unclear. Here, we present a method that can accurately reconstruct the MFP distribution from quasiballistic thermal measurements without any assumptions regarding the phonon scattering mechanisms. Our result will enable a substantially improved understanding of thermal transport in many solids, particularly thermoelectrics.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The measured bulk thermal conductivity is in reasonable agreement with transient grating data for grating period 9.8 μm, indicating that phonon mean free paths are shorter than about 1.5 μm.
“Second, within the uncertainty of the measurements, the measured bulk thermal conductivity is in reasonable agreement with the TG data for L = 9.8 μm, indicating that the phonon mean free paths are shorter than ∼9.8/2π∼1.5 μm (ref. 64).”
From Origin of high thermal conductivity in disentangled ultra-high molecular weight polyethylene films: ballistic phonons within enlarged crystals (2022) · cites this paper as [64]
The discussion of thermal conductivity spectroscopy explains that phonons with mean free paths longer than the thermal length scale have suppressed heat flux, supporting the general inference behind the claim. The application to transient-grating measurements concerns a 390 nm silicon membrane, however; our copy does not report agreement between a measured bulk conductivity and data at a 9.8 μm grating period, or draw the stated 1.5 μm conclusion from that comparison. The indexed passages provide no page numbers. (LLM, conf=0.78)
Experimental — accuracy not yet measuredThe derivative of S_r, denoted the kernel, can directly be used to obtain cumulative MFP distribution of an unknown material from experimental measurements of thermal conductivity for different pump sizes with TDTR.
“The derivative of S r , denoted the kernel, is also shown in Fig. 2(b) and can directly be used to obtain cumulative MFP distribution of an unknown material from experimental measurements of thermal conductivity for different pump sizes with TDTR.19”
From Radial quasiballistic transport in time-domain thermoreflectance studied using Monte Carlo simulations (2014) · cites this paper as [19]
The paper defines the kernel as the derivative of a suppression function and describes reconstructing a cumulative MFP distribution from effective thermal conductivities measured over several thermal lengths (main text, Eqs. 2–3 and measurement-procedure discussion; page unavailable). It does not establish the specific TDTR pump-size application or identify the kernel as the derivative of S_r; its demonstrated geometry uses transient-grating wavelengths. Reconstruction also requires solving an inverse problem by convex optimization, rather than using the kernel alone. (LLM, conf=0.87)
Experimental — accuracy not yet measuredThe mean free path distribution can be reconstructed from measurements of quasiballistic heat conduction using a method introduced by Minnich, provided that the quasiballistic transport in the experiment can be accurately simulated.
“The MFP distribution can be reconstructed from these measurements using a method introduced by Minnich provided that the quasiballistic transport in the experiment can be accurately simulated.19”
From Radial quasiballistic transport in time-domain thermoreflectance studied using Monte Carlo simulations (2014) · cites this paper as [19]
Previously, this equation was used to find the MFP distribution.
“Previously, this equation was used to find the MFP distribution.19”
From Radial quasiballistic transport in time-domain thermoreflectance studied using Monte Carlo simulations (2014) · cites this paper as [19]
Minnich recently introduced a framework in which the MFP distribution of the substrate can be reconstructed from effective thermal conductivities and a suppression function that describes the difference in heat flux between quasiballistic and Fourier predictions.
“Minnich recently introduced a framework in which the MFP distribution of the substrate can be reconstructed from the effective thermal conductivities, as shown in Fig. 2(a)), and a suppression function that describes the difference in heat flux between the quasiballistic and Fourier predictions.19”
From Radial quasiballistic transport in time-domain thermoreflectance studied using Monte Carlo simulations (2014) · cites this paper as [19]
The suppression function depends on the experimental geometry and mathematically describes how the heat flux curves differ from the Fourier's law curve.
“This function depends on the experimental geometry and mathematically describes how the heat flux curves in Fig. 1(c) differ from the Fourier's law curve.”
From Radial quasiballistic transport in time-domain thermoreflectance studied using Monte Carlo simulations (2014) · cites this paper as [19]
Reconstructing the phonon MFP spectrum from the measured KA(Lc) and the derived suppression function is an inverse problem that involves complex optimization.
“Reconstructing the phonon MFP spectrum [ i.e . ߶ ሺΛሻ or ߙ ሺΛሻ ] from the measured ܭ ሺ ܮ ሻ and the derived ܵ ቀ ஃ ቁ is thus an inverse problem of Eq.(4.14) that involves complex optimization. 203-205”
From Tutorial: Time-domain thermoreflectance (TDTR) for thermal property characterization of bulk and thin film materials (2018) · cites this paper as [203]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
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
Surface generation and detection of phonons by picosecond light pulses
Thomsen, C., Grahn, H. T., Maris, H. J., & Tauc, J. (1986) · Physical review. B, Condensed matter · doi:10.1103/physrevb.34.4129 · Cited by 1,636 · see citing works
Energy dissipation and transport in nanoscale devices
Pop, E. (2010) · Nano Research · doi:10.1007/s12274-010-1019-z · Cited by 1,269 · see citing works
Microscale Heat Conduction in Dielectric Thin Films
Majumdar, A. (1993) · Journal of Heat Transfer · doi:10.1115/1.2910673 · Cited by 910 · 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
Giant anharmonic phonon scattering in PbTe
Delaire, O., Ma, J., Marty, K., May, A. F., McGuire, M. A., Du, M.-H., Singh, D. J., Podlesnyak, A., Ehlers, G., Lumsden, M. D., et al. (2011) · Nature Materials · doi:10.1038/nmat3035 · Cited by 738 · see citing works
Reduction of thermal conductivity in phononic nanomesh structures
Yu, J.-K., Mitrović, S., Tham, D., Varghese, J. O., & Heath, J. R. (2010) · Nature Nanotechnology · doi:10.1038/nnano.2010.149 · Cited by 711 · 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
Self-citationRole of Low-Energy Phonons in Thermal Conduction
Herring, C. (1954) · Physical Review · doi:10.1103/physrev.95.954 · Cited by 544 · see citing works
A new class of doped nanobulk high-figure-of-merit thermoelectrics by scalable bottom-up assembly
Mehta, R. J., Zhang, Y., Karthik, C., Singh, B., Siegel, R. W., Borca‐Tasciuc, T., & Ramanath, G. (2012) · Nature Materials · doi:10.1038/nmat3213 · Cited by 515 · see citing works
Recent Advances in Learning and Control
Blondel, V. D., Boyd, S., & Kimura, H. (2007) · Lecture notes in control and information sciences · doi:10.1007/978-1-84800-155-8 · Cited by 442 · 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
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
Nonlocal and Nonequilibrium Heat Conduction in the Vicinity of Nanoparticles
Chen, G. (1996) · Journal of Heat Transfer · doi:10.1115/1.2822665 · Cited by 382 · see citing works
Pernot, G., Stoffel, M., Savic, I., Pezzoli, F., Chen, P., Savelli, G., Jacquot, A., Schumann, J., Denker, U., Mönch, I., et al. (2010) · Nature Materials · doi:10.1038/nmat2752 · Cited by 375 · see citing works
Ward, A., & Broido, D. (2010) · Physical Review B · doi:10.1103/physrevb.81.085205 · Cited by 374 · see citing works
Péraud, J.-P. M., & Hadjiconstantinou, N. G. (2011) · Physical Review B · doi:10.1103/physrevb.84.205331 · Cited by 315 · see citing works
Thermal Conductivity of Ge and Ge–Si Core–Shell Nanowires in the Phonon Confinement Regime
Wingert, M. C., Chen, Z. C. Y., Dechaumphai, E., Moon, J., Kim, J.-H., Xiang, J., & Chen, R. (2011) · Nano Letters · doi:10.1021/nl203356h · Cited by 199 · see citing works
Heat Pulses in Quartz and Sapphire at Low Temperatures
von Gutfeld, R. J., & Nethercot, A. H. (1964) · Physical Review Letters · doi:10.1103/physrevlett.12.641 · Cited by 199 · see citing works
Quasiballistic heat transfer studied using the frequency-dependent Boltzmann transport equation
Chen, G., Minnich, A. J., Mansoor, S. B., & Yilbaş, B. S. (2011) · DSpace@MIT (Massachusetts Institute of Technology) · Cited by 129 · see citing works
Self-citationOnset of nondiffusive phonon transport in transient thermal grating decay
Maznev, A. A., Johnson, J. A., & Nelson, K. A. (2011) · Physical Review B · doi:10.1103/physrevb.84.195206 · Cited by 113 · see citing works
Highland, M., Gundrum, B. C., Koh, Y. K., Averback, R. S., Cahill, D. G., Elarde, V. C., Coleman, J. J., Walko, D. A., & Landahl, E. C. (2007) · Physical Review B · doi:10.1103/physrevb.76.075337 · Cited by 71 · see citing works
Flagged first, then by citations
Research works printed but not linked: 1
- [5]H. Casimir, Physica (Amsterdam) 5 , 495 (1938). http://dx.doi.org/10.1016/S0031-8914(3880162-2) · DOI
Cited by
Sorted by citations
Nanoscale thermal transport. II. 2003–2012
Cahill, D. G., Braun, P. V., Chen, G., Clarke, D. R., Fan, S., Goodson, K. E., Keblinski, P., King, W. P., Mahan, G. D., Majumdar, A., et al. (2014) · Applied Physics Reviews · doi:10.1063/1.4832615 · Cited by 1,763 · see citing works
Jiang, P., Qian, X., & Yang, R. (2018) · Journal of Applied Physics · doi:10.1063/1.5046944 · Cited by 424 · see citing works
Spectral mapping of thermal conductivity through nanoscale ballistic transport
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
Self-citationNon-Fourier phonon heat conduction at the microscale and nanoscale
Chen, G. (2021) · Nature Reviews Physics · doi:10.1038/s42254-021-00334-1 · Cited by 305 · see citing works
Achieving high power factor and output power density in p-type half-Heuslers Nb 1-x Ti x FeSb
He, R., Kraemer, D., Mao, J., Zeng, L., Jie, Q., Lan, Y., Li, C., Shuai, J., Kim, H. S., Liu, Y., et al. (2016) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1617663113 · Cited by 301 · see citing works
Mean free path spectra as a tool to understand thermal conductivity in bulk and nanostructures
Yang, F., & Dames, C. (2013) · Physical Review B · doi:10.1103/physrevb.87.035437 · Cited by 283 · see citing works
Anisotropic failure of Fourier theory in time-domain thermoreflectance experiments
Wilson, R. B., & Cahill, D. G. (2014) · Nature Communications · doi:10.1038/ncomms6075 · Cited by 244 · see citing works
Sajjad, M., Mahmood, Q., Singh, N., & Larsson, J. A. (2020) · ACS Applied Energy Materials · doi:10.1021/acsaem.0c02236 · Cited by 233 · see citing works
A new regime of nanoscale thermal transport: Collective diffusion increases dissipation efficiency
Hoogeboom-Pot, K. M., Hernandez-Charpak, J. N., Gu, X., Frazer, T. D., Anderson, E. H., Chao, W., Falcone, R. W., Yang, R., Murnane, M. M., Kapteyn, H. C., et al. (2015) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1503449112 · Cited by 202 · see citing works
Survey of ab initio phonon thermal transport
Lindsay, L., Hua, C., Ruan, X., & Lee, S. (2018) · Materials Today Physics · doi:10.1016/j.mtphys.2018.11.008 · Cited by 174 · see citing works
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
Thermal conductivity of bulk and monolayer MoS 2
Gandi, A. N., & Schwingenschlögl, U. (2016) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/113/36002 · Cited by 159 · see citing works
Heat Transfer in Thermoelectric Materials and Devices
Tian, Z., Lee, S., & Chen, G. (2013) · ASME Journal of Heat and Mass Transfer · doi:10.1115/1.4023585 · Cited by 160 · see citing works
Reconstructing 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
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
Pyun, K. R., & Ko, S. H. (2019) · Materials Today Energy · doi:10.1016/j.mtener.2019.04.008 · Cited by 119 · see citing works
Advances in the measurement and computation of thermal phonon transport properties
Minnich, A. J. (2015) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/27/5/053202 · Cited by 121 · see citing works
Self-citationFeng, T., Yao, W.-J., Wang, Z., Shi, J., Li, C., Cao, B., & Ruan, X. (2017) · Physical review. B./Physical review. B · doi:10.1103/physrevb.95.195202 · Cited by 119 · see citing works
Guo, Z., & Xu, K. (2016) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2016.06.088 · Cited by 117 · see citing works
Regner, K. T., Majumdar, S., & Malen, J. A. (2013) · Review of Scientific Instruments · doi:10.1063/1.4808055 · Cited by 116 · see citing works
First-principles dynamics of electrons and phonons*
Bernardi, M. (2016) · The European Physical Journal B · doi:10.1140/epjb/e2016-70399-4 · Cited by 114 · see citing works
MONTE CARLO METHODS FOR SOLVING THE BOLTZMANN TRANSPORT EQUATION
Péraud, J.-P. M., Landon, C., & Hadjiconstantinou, N. G. (2014) · Annual Reviews of Heat Transfer · doi:10.1615/annualrevheattransfer.2014007381 · Cited by 112 · see citing works
Temperature-Dependent Mean Free Path Spectra of Thermal Phonons Along the <i>c</i>-Axis of Graphite
Zhang, H., Chen, X., Jho, Y.-D., & Minnich, A. J. (2016) · Nano Letters · doi:10.1021/acs.nanolett.5b04499 · Cited by 106 · see citing works
Self-citationEvaluating 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
Transport regimes in quasiballistic heat conduction
Hua, C., & Minnich, A. J. (2014) · Physical Review B · doi:10.1103/physrevb.89.094302 · Cited by 97 · see citing works
Self-citationCheaito, 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
Gu, X., Fan, Z., & Bao, H. (2021) · Journal of Applied Physics · doi:10.1063/5.0069175 · Cited by 96 · see citing works
Thermal Spreading Resistance in Ballistic-Diffusive Regime for GaN HEMTs
Hua, Y., Li, H.-L., & Cao, B. (2019) · IEEE Transactions on Electron Devices · doi:10.1109/ted.2019.2922221 · Cited by 91 · see citing works
Hua, C., & Minnich, A. J. (2015) · Journal of Applied Physics · doi:10.1063/1.4919432 · Cited by 89 · see citing works
Self-citationZhou, J., Liao, B., & Chen, G. (2016) · Semiconductor Science and Technology · doi:10.1088/0268-1242/31/4/043001 · Cited by 87 · see citing works
Controlling Light, Heat, and Vibrations in Plasmonics and Phononics
Cunha, J., Guo, T., Valle, G. D., Koya, A. N., Zaccaria, R. P., & Alabastri, A. (2020) · Advanced Optical Materials · doi:10.1002/adom.202001225 · Cited by 86 · see citing works
Full-field thermal imaging of quasiballistic crosstalk reduction in nanoscale devices
Ziabari, A., Torres, P., Vermeersch, B., Xuan, Y., Cartoixà, X., Torelló, À., Bahk, J., Koh, Y. R., Parsa, M., Ye, P. D., et al. (2018) · Nature Communications · doi:10.1038/s41467-017-02652-4 · Cited by 86 · see citing works
Vermeersch, B., Mohammed, A. M. S., Pernot, G., Koh, Y. R., & Shakouri, A. (2015) · Physical Review B · doi:10.1103/physrevb.91.085203 · Cited by 78 · 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
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
Zhang, H., Hua, C., Ding, D., & Minnich, A. J. (2015) · Scientific Reports · doi:10.1038/srep09121 · Cited by 70 · see citing works
Self-citationJaffe, G. R., Smith, K. J., Watanabe, K., Taniguchi, T., Lagally, M. G., Eriksson, M. A., & Brar, V. W. (2023) · ACS Applied Materials & Interfaces · doi:10.1021/acsami.2c21306 · Cited by 70 · 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
Spectral energy analysis of locally resonant nanophononic metamaterials by molecular simulations
Honarvar, H., & Hussein, M. I. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.081412 · Cited by 68 · see citing works
Honarvar, H., & Hussein, M. I. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.195413 · Cited by 68 · 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
Kim, T., Drakopoulos, S. X., Ronca, S., & Minnich, A. J. (2022) · Nature Communications · doi:10.1038/s41467-022-29904-2 · Cited by 63 · see citing works
“If heat-carrying phonons propagate ballistically over the grating period, the thermal decay is slower than that predicted from the bulk thermal conductivity [59, 65].”
Self-citationDeviational simulation of phonon transport in graphene ribbons with ab initio scattering
Landon, C., & Hadjiconstantinou, N. G. (2014) · Journal of Applied Physics · doi:10.1063/1.4898090 · Cited by 63 · 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
Heat transport by long mean free path vibrations in amorphous silicon nitride near room temperature
Sultan, R., Avery, A. D., Underwood, J. M., Mason, S. J., Bassett, D., & Zink, B. L. (2013) · Physical Review B · doi:10.1103/physrevb.87.214305 · 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
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
Phonon mean free path spectrum and thermal conductivity for Si1−xGex nanowires
Xie, G., Guo, Y., Wei, X., Zhang, K., Sun, L., Zhong, J., Zhang, G., & Zhang, Y. (2014) · Applied Physics Letters · doi:10.1063/1.4882083 · Cited by 51 · see citing works
Ding, D., Chen, X., & Minnich, A. J. (2014) · Applied Physics Letters · doi:10.1063/1.4870811 · Cited by 51 · see citing works
Self-citationYamashita, Y., Honda, K., Yagi, T., Jia, J., Taketoshi, N., & Shigesato, Y. (2019) · Journal of Applied Physics · doi:10.1063/1.5055266 · Cited by 50 · see citing works
Thermal transport in suspended silicon membranes measured by laser-induced transient gratings
Vega-Flick, A., Duncan, R. A., Eliason, J. K., Cuffe, J., Johnson, J. A., Péraud, J.-P. M., Zeng, L., Lu, Z., Maznev, A. A., Wang, E. N., et al. (2016) · AIP Advances · doi:10.1063/1.4968610 · Cited by 48 · see citing works
Spectrally Resolved Specular Reflections of Thermal Phonons from Atomically Rough Surfaces
Ravichandran, N. K., Zhang, H., & Minnich, A. J. (2018) · Physical Review X · doi:10.1103/physrevx.8.041004 · Cited by 48 · see citing works
Self-citationHeat 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
Bard, S., Schönl, F., Demleitner, M., & Altstädt, V. (2019) · Polymers · doi:10.3390/polym11050823 · Cited by 45 · see citing works
Phonon heat conduction in layered anisotropic crystals
Minnich, A. J. (2015) · Physical Review B · doi:10.1103/physrevb.91.085206 · Cited by 43 · see citing works
Self-citationRole 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
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
Ballistic thermal phonons traversing nanocrystalline domains in oriented polyethylene
Robbins, A. B., Drakopoulos, S. X., Martin-Fabiani, I., Ronca, S., & Minnich, A. J. (2019) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1905492116 · Cited by 38 · 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
Phonon Conduction in Silicon Nanobeam Labyrinths
Park, W., Romano, G., Ahn, C., Kodama, T., Park, J., Barako, M. T., Sohn, J., Kim, S. J., Cho, J., Marconnet, A. M., et al. (2017) · Scientific Reports · doi:10.1038/s41598-017-06479-3 · Cited by 37 · see citing works
Kim, D. S., Hellman, O., Shulumba, N., Saunders, C. N., Lin, J., Smith, H. L., Herriman, J. E., Niedziela, J. L., Abernathy, D. L., Li, C. W., et al. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.102.174311 · Cited by 37 · see citing works
Disparate quasiballistic heat conduction regimes from periodic heat sources on a substrate
Zeng, L., & Chen, G. (2014) · Journal of Applied Physics · doi:10.1063/1.4893299 · Cited by 35 · see citing works
Characterizing microscale energy transport in materials with transient grating spectroscopy
Choudhry, U., Kim, T., Adams, M. C., Ranasinghe, J. C., Yang, R., & Liao, B. (2021) · Journal of Applied Physics · doi:10.1063/5.0068915 · Cited by 35 · see citing works
Zhou, J., Li, R., & Luo, T. (2023) · npj Computational Materials · doi:10.1038/s41524-023-01165-7 · Cited by 34 · see citing works
Surface scattering controlled heat conduction in semiconductor thin films
Malhotra, A., & Maldovan, M. (2016) · Journal of Applied Physics · doi:10.1063/1.4968542 · Cited by 33 · see citing works
Direct measurement of coherent subterahertz acoustic phonons mean free path in GaAs
Legrand, R., Huynh, A., Jusserand, B., Perrin, B., & Lemaître, A. (2016) · Physical review. B./Physical review. B · doi:10.1103/physrevb.93.184304 · Cited by 32 · see citing works
Length Scale of Diffusive Phonon Transport in Suspended Thin Silicon Nanowires
Raja, S. N., Rhyner, R., Vuttivorakulchai, K., Luisier, M., & Dimos Poulikakos, A. (2016) · Nano Letters · doi:10.1021/acs.nanolett.6b04050 · Cited by 32 · see citing works
Monte Carlo study of non-diffusive relaxation of a transient thermal grating in thin membranes
Zeng, L., Chiloyan, V., Huberman, S., Maznev, A. A., Péraud, J.-P. M., Hadjiconstantinou, N. G., Nelson, K. A., & Chen, G. (2016) · Applied Physics Letters · doi:10.1063/1.4941766 · Cited by 31 · see citing works
Fourier-like Thermal Relaxation of Nanoscale Explosive Hot Spots
Kroonblawd, M. P., Hamilton, B. W., & Strachan, A. H. (2021) · The Journal of Physical Chemistry C · doi:10.1021/acs.jpcc.1c05599 · Cited by 31 · see citing works
Size effects in thermal conduction by phonons
Allen, P. B. (2014) · Physical Review B · doi:10.1103/physrevb.90.054301 · Cited by 30 · see citing works
Kroonblawd, M. P., & Sewell, T. D. (2016) · The Journal of Physical Chemistry C · doi:10.1021/acs.jpcc.6b04749 · Cited by 30 · see citing works
Multidimensional quasiballistic thermal transport in transient grating spectroscopy
Minnich, A. J. (2015) · Physical Review B · doi:10.1103/physrevb.92.085203 · Cited by 29 · see citing works
Self-citationPhonon conduction in silicon nanobeams
Park, W., Shin, D. D., Kim, S. J., Katz, J. S., Park, J., Ahn, C. H., Kodama, T., Asheghi, M., Kenny, T. W., & Goodson, K. E. (2017) · Applied Physics Letters · doi:10.1063/1.4983790 · Cited by 29 · see citing works
Maasilta, I. J., & Minnich, A. J. (2014) · Physics Today · doi:10.1063/pt.3.2479 · Cited by 28 · see citing works
Self-citationFractal Lévy Heat Transport in Nanoparticle Embedded Semiconductor Alloys
Mohammed, A. M. S., Koh, Y. R., Vermeersch, B., Lü, H., Burke, P. G., Gossard, A. C., & Shakouri, A. (2015) · Nano Letters · doi:10.1021/nl5044665 · Cited by 28 · see citing works
Impact of thermally dead volume on phonon conduction along silicon nanoladders
Park, W., Sohn, J., Romano, G., Kodama, T., Sood, A., Katz, J. S., Kim, B. S. Y., So, H., Ahn, C., Asheghi, M., et al. (2018) · Nanoscale · doi:10.1039/c8nr01788c · Cited by 27 · see citing works
Chiloyan, V., Zeng, L., Huberman, S., Maznev, A. A., Nelson, K. A., & Chen, G. (2016) · Physical Review B · doi:10.1103/physrevb.93.155201 · Cited by 26 · see citing works
Huberman, S., Chiloyan, V., Duncan, R. A., Zeng, L., Jia, R., Maznev, A. A., Fitzgerald, E. A., Nelson, K. A., & Chen, G. (2017) · Physical Review Materials · doi:10.1103/physrevmaterials.1.054601 · Cited by 25 · see citing works
Thermal conductivity of amorphous SiO2 by first-principles molecular dynamics
Martin, É., Ori, G., Duong, T.-Q., Boero, M., & Massobrio, C. (2022) · Journal of Non-Crystalline Solids · doi:10.1016/j.jnoncrysol.2022.121434 · Cited by 25 · see citing works
An efficient two-step Monte Carlo method for heat conduction in nanostructures
Hua, Y., & Cao, B. (2017) · Journal of Computational Physics · doi:10.1016/j.jcp.2017.04.042 · Cited by 25 · see citing works
Kim, T., Moon, J., & Minnich, A. J. (2021) · Physical Review Materials · doi:10.1103/physrevmaterials.5.065602 · Cited by 24 · see citing works
Self-citationRamu, A. T., & Ma, Y. (2014) · Journal of Applied Physics · doi:10.1063/1.4894087 · Cited by 24 · see citing works
Scott, E. A., Perez, C., Saltonstall, C. B., Adams, D. P., Hodges, V. C., Asheghi, M., Goodson, K. E., Hopkins, P. E., Leonhardt, D., & Ziade, E. (2021) · Applied Physics Letters · doi:10.1063/5.0050888 · Cited by 23 · see citing works
Hao, Q., Xiao, Y., & Chen, Q. (2019) · Materials Today Physics · doi:10.1016/j.mtphys.2019.100126 · Cited by 22 · see citing works
Chiloyan, V., Zeng, L., Huberman, S., Maznev, A. A., Nelson, K. A., & Chen, G. (2016) · Journal of Applied Physics · doi:10.1063/1.4955164 · Cited by 21 · see citing works
Quantifying the diverse wave effects in thermal transport of nanoporous graphene
Wei, H., Hu, Y., Bao, H., & Ruan, X. (2022) · Carbon · doi:10.1016/j.carbon.2022.06.011 · Cited by 21 · see citing works
Adjoint-based deviational Monte Carlo methods for phonon transport calculations
Péraud, J.-P. M., & Hadjiconstantinou, N. G. (2015) · Physical Review B · doi:10.1103/physrevb.91.235321 · Cited by 21 · see citing works
MoS2phononic crystals for advanced thermal management
Xiao, P., Sachat, A. E., Chávez‐Ángel, E., Ng, R. C., Nikoulis, G., Kioseoglou, J., Termentzidis, K., Torres, C. M. S., & Sledzinska, M. (2024) · Science Advances · doi:10.1126/sciadv.adm8825 · Cited by 20 · see citing works
Quantifying thermal transport in amorphous silicon using mean free path spectroscopy
Pan, Y., Zhou, J., & Chen, G. (2020) · Physical review. B./Physical review. B · doi:10.1103/physrevb.101.144203 · Cited by 20 · see citing works
Mortazavi, B., Shojaei, F., Zhuang, X., & Pereira, L. F. C. (2021) · Carbon Trends · doi:10.1016/j.cartre.2021.100036 · Cited by 20 · see citing works
Hu, Y., Shen, Y., & Bao, H. (2022) · ASME Journal of Heat and Mass Transfer · doi:10.1115/1.4054300 · Cited by 20 · see citing works
Fabrication Strategies for 2D Halide Perovskite Towards Next-Generation Optoelectronic Applications
Cho, S. H., Jung, Y., Jang, Y., Kim, H., Kim, J., Lim, C., Park, K., Kim, S., Chu, Y. H., Kim, T., et al. (2024) · International Journal of Precision Engineering and Manufacturing-Green Technology · doi:10.1007/s40684-024-00663-3 · Cited by 19 · see citing works
Nonequilibrium phonon transport induced by finite sizes: Effect of phonon-phonon coupling
Xu, J., Hu, Y., Ruan, X., Wang, X., Feng, T., & Bao, H. (2021) · Physical review. B./Physical review. B · doi:10.1103/physrevb.104.104310 · Cited by 19 · see citing works
Nanoscale thermal conductivity spectroscopy by using gold nano-islands heat absorbers
Oyake, T., Sakata, M., & Shiomi, J. (2015) · Applied Physics Letters · doi:10.1063/1.4913311 · Cited by 19 · see citing works
On the Determination of Thermal Conductivity From Frequency Domain Thermoreflectance Experiments
Saurav, S., & Mazumder, S. (2021) · ASME Journal of Heat and Mass Transfer · doi:10.1115/1.4052655 · Cited by 18 · see citing works
Phonon Boltzmann Transport Equation based modeling of time domain thermo-reflectance experiments
Ali, S. A., & Mazumder, S. (2016) · International Journal of Heat and Mass Transfer · doi:10.1016/j.ijheatmasstransfer.2016.11.077 · Cited by 18 · see citing works
A two-parameter nondiffusive heat conduction model for data analysis in pump-probe experiments
Ma, Y. (2014) · Journal of Applied Physics · doi:10.1063/1.4904355 · Cited by 17 · see citing works
Quasiballistic heat removal from small sources studied from first principles
Vermeersch, B., & Mingo, N. (2018) · Physical review. B./Physical review. B · doi:10.1103/physrevb.97.045205 · Cited by 16 · see citing works
- Authors
- Minnich, A. J.
- Affiliations
- California Institute of Technology (US)
- Corresponding author
- Minnich, A. J.
- ORCID
- Minnich, A. J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2012-11-13
- Volume
- 109
- Issue
- 20
- Pages
- 205901-205901
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2071546751
- Cited by
- 196
- References
- 22
- Citations by year
- 2026: 3 · 2025: 12 · 2024: 15 · 2023: 10 · 2022: 12 · 2021: 16 · 2020: 10 · 2019: 16 · 2018: 14 · 2017: 17 · 2016: 21 · 2015: 25 · 2014: 17 · 2013: 8
- FWCI
- 7.35
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- CaltechAUTHORS (California Institute of Technology) (submittedVersion)
- Topics
- Physical Sciences › Materials Science › Materials Chemistry › Thermal properties of materials
- Physical Sciences › Materials Science › Materials Chemistry › Advanced Thermoelectric Materials and Devices
- Physical Sciences › Engineering › Mechanics of Materials › Thermoelastic and Magnetoelastic Phenomena
- Keywords
- phonon mean free path, thermal conductivity, phonon scattering, thermoelectric materials
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
