The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.
Spectral mapping of thermal conductivity through nanoscale ballistic transport
Abstract
Controlling thermal properties is central to many applications, such as thermoelectric energy conversion and the thermal management of integrated circuits. Progress has been made over the past decade by structuring materials at different length scales, but a clear relationship between structure size and thermal properties remains to be established. The main challenge comes from the unknown intrinsic spectral distribution of energy among heat carriers. Here, we experimentally measure this spectral distribution by probing quasi-ballistic transport near nanostructured heaters down to 30 nm using ultrafast optical spectroscopy. Our approach allows us to quantify up to 95% of the total spectral contribution to thermal conductivity from all phonon modes. The measurement agrees well with multiscale and first-principles-based simulations. We further demonstrate the direct construction of mean free path distributions. Our results provide a new fundamental understanding of thermal transport and will enable materials design in a rational way to achieve high performance.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
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 technique has recently been further developed for measuring anisotropic thermal conductivity of thin films and probing spectral phonon transport.
“This technique has recently been further developed over the last few years for measuring anisotropic thermal conductivity of thin films [97][98][99] and probing spectral phonon transport [100-103].”
From Measurement Techniques for Thermal Conductivity and Interfacial Thermal Conductance of Bulk and Thin Film Materials (2016) · cites this paper as [102]
Citations
Cites
Opportunities and challenges for a sustainable energy future
Chu, S., & Majumdar, A. (2012) · Nature · doi:10.1038/nature11475 · Cited by 12,550
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
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
Self-citationSchmidt, A. J., Chen, X., & Chen, G. (2008) · Review of Scientific Instruments · doi:10.1063/1.3006335 · Cited by 655
Self-citationCoherent Phonon Heat Conduction in Superlattices
Luckyanova, M. N., Garg, J., Esfarjani, K., Jandl, A., Bulsara, M. T., Schmidt, A. J., Minnich, A. J., Chen, S., Dresselhaus, M. S., Ren, Z., et al. (2012) · Science · doi:10.1126/science.1225549 · Cited by 630
Self-citationThermal 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
Self-citationSiemens, M. E., Li, Q., Yang, R., Nelson, K. A., Anderson, E. H., Murnane, M. M., & Kapteyn, H. C. (2010) · Nature Materials · doi:10.1038/nmat2568 · Cited by 443
Johnson, J. A., Maznev, A. A., Cuffe, J., Eliason, J. K., Minnich, A. J., Kehoe, T., Torres, C. M. S., Chen, G., & Nelson, K. A. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.025901 · Cited by 421
Self-citationMean 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
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
Self-citationRegner, K. T., Majumdar, S., & Malen, J. A. (2013) · Review of Scientific Instruments · doi:10.1063/1.4808055 · Cited by 116
Ding, D., Chen, X., & Minnich, A. J. (2014) · Applied Physics Letters · doi:10.1063/1.4870811 · Cited by 51
Self-citationQuasiballistic heat transfer studied using the frequency-dependent Boltzmann transport equation
Minnich, A. J., Chen, G., Mansoor, S., & Yilbas, B. S. (2011) · Physical Review B · doi:10.1103/physrevb.84.235207 · Cited by 14
Self-citation
Flagged first, then by citations
Research works printed but not linked: 38
- Majumdar, A. Materials science. Thermoelectricity in semiconductor nanostructures. Science 303, 777–778 (2004). · DOI
- Bell, L. E. Cooling, heating, generating power, and recovering waste heat with thermoelectric systems. Science 321, 1457–1461 (2008). · DOI
- Poudel, B. et al. High-thermoelectric performance of nanostructured bismuth antimony telluride bulk alloys. Science 320, 634–638 (2008). · DOI
- Biswas, K. et al. High-performance bulk thermoelectrics with all-scale hierarchical architectures. Nature 489, 414–418 (2012). · DOI
- Lee, W. et al. Heat dissipation in atomic-scale junctions. Nature 498, 209–212 (2013). · DOI
- Boukai, A. I. et al. Silicon nanowires as efficient thermoelectric materials. Nature 451, 168–171 (2008). · DOI
- Seol, J. H. et al. Two-dimensional phonon transport in supported graphene. Science 328, 213–216 (2010). · DOI · Paper page
- Dames, C. Thermal materials: pulling together to control heat flow. Nature Nanotech. 7, 82–83 (2012). · DOI
- Singh, D. J. Nanostructuring and more. Nature Mater. 7, 616–617 (2008). · DOI
- Dresselhaus, M. S. et al. New directions for low-dimensional thermoelectric materials. Adv. Mater. 19, 1043–1053 (2007). · DOI
- Kraemer, D. et al. High-performance flat-panel solar thermoelectric generators with high thermal concentration. Nature Mater. 10, 532–538 (2011). · DOI
- Yan, H. et al. Programmable nanowire circuits for nanoprocessors. Nature 470, 240–244 (2011). · DOI
- Yin, X., Ye, Z., Rho, J., Wang, Y. & Zhang, X. Photonic spin Hall effect at metasurfaces. Science 339, 1405–1407 (2013). · DOI · Paper page
- Pop, E., Sinha, S. & Goodson, K. E. Heat generation and transport in nanometer-scale transistors. Proc. IEEE 94, 1587–1601 (2006). · DOI
- Heremans, J. P., Dresselhaus, M. S., Bell, L. E. & Morelli, D. T. When thermoelectrics reached the nanoscale. Nature Nanotech. 8, 471–473 (2013). · DOI
- Marconnet, A. M., Panzer, M. A. & Goodson, K. E. Thermal conduction phenomena in carbon nanotubes and related nanostructured materials. Rev. Mod. Phys. 85, 1295–1326 (2013). · DOI
- Ziman, J. M. Electrons and Phonons: The Theory of Transport Phenomena in Solids (Oxford Classic Texts in the Physical Sciences, 1960).
- Broido, D. A., Malorny, M., Birner, G., Mingo, N. & Stewart, D. A. Intrinsic lattice thermal conductivity of semiconductors from first principles. Appl. Phy. Lett. 91, 231922 (2007). · DOI · Paper page
- Garg, J., Bonini, N., Kozinsky, B. & Marzari, N. Role of disorder and anharmonicity in the thermal conductivity of silicon–germanium alloys: a first-principles study. Phys. Rev. Lett. 106, 045901 (2011). · DOI
- Lindsay, L., Broido, D. A. & Reinecke, T. L. First-principles determination of ultrahigh thermal conductivity of boron arsenide: a competitor for diamond? Phys. Rev. Lett. 111, 025901 (2013). · DOI
- Delaire, O. et al. Giant anharmonic phonon scattering in PbTe. Nature Mater. 10, 614–619 (2011). · DOI · Paper page
- Ma, J. et al. Glass-like phonon scattering from a spontaneous nanostructure in AgSbTe2 . Nature Nanotech. 8, 445–451 (2013). · DOI
- Dames, C. & Chen, G. Thermoelectrics Handbook, Macro to Nano (ed. Rowe, D. M.) Ch. 42 (CRC Press, 2006).
- Chen, G. Nonlocal and nonequilibrium heat conduction in the vicinity of nanoparticles. J. Heat Transfer 118, 539–545 (1996). · DOI · Paper page
- Sverdrup, P. G., Sinha, S., Asheghi, M., Uma, S. & Goodson, K. E. Measurement of ballistic phonon conduction near hotspots in silicon. Appl. Phys. Lett. 78, 3331 (2001). · DOI
- Koh, Y. & Cahill, D. Frequency dependence of the thermal conductivity of semiconductor alloys. Phys. Rev. B 76, 075207 (2007). · DOI · Paper page
- Cahill, D. G. Analysis of heat flow in layered structures for time-domain thermoreflectance. Rev. Sci. Instrum. 75, 5119 (2004). · DOI · Paper page
- He, Y., Donadio, D. & Galli, G. Heat transport in amorphous silicon: interplay between morphology and disorder. Appl. Phys. Lett. 98, 144101 (2011). · DOI · Paper page
- Chen, G. Thermal conductivity and ballistic-phonon transport in the cross-plane direction of superlattices. Phys. Rev. B 57, 14958–14973 (1998). · DOI
- Péraud, J-P. M. & Hadjiconstantinou, N. G. Efficient simulation of multidimensional phonon transport using energy-based variance-reduced Monte Carlo formulations. Phys. Rev. B 84, 205331 (2011). · DOI · Paper page
- Maznev, A. A., Johnson, J. A. & Nelson, K. A. Onset of nondiffusive phonon transport in transient thermal grating decay. Phys. Rev. B 84, 195206 (2011). · DOI
- Collins, K. C. et al. Non-diffusive relaxation of a transient thermal grating analyzed with the Boltzmann transport equation. J. Appl. Phys. 114, 104302 (2013). · DOI
- Zeng, L. & Chen, G. Disparate quasiballistic heat conduction regimes from periodic heat sources on a substrate. J. Appl. Phys. 116, 064307 (2014). · DOI
- Wilson, R. B. & Cahill, D. G. Anisotropic failure of Fourier theory in time-domain thermoreflectance experiments. Nature Commun. 5, 5075 (2014). · DOI · Paper page
- Goodson, K. E. & Ju, Y. S. Heat conduction in novel electronic films. Annu. Rev. Mater. Sci. 29, 261–293 (1999). · DOI
- Cahill, D. G. et al. Nanoscale thermal transport. II. 2003–2012. Appl. Phys. Rev. 1, 011305 (2014). · DOI · Paper page
- Hu, Y., Kuemmeth, F., Lieber, C. M. & Marcus, C. M. Hole spin relaxation in Ge–Si core–shell nanowire qubits. Nature Nanotech. 7, 47–50 (2012). · DOI
- Grant, M. & Boyd, S. in Recent Advances in Learning and Control (eds Blondel, V., Boyd, S. & Kimura, H.) (Lecture Notes in Control and Information Sciences, Springer-Verlag, 2008).
Cited by
Sorted by citations
Zhao, D., Qian, X., Gu, X., Jajja, S. A., & Yang, R. (2016) · Journal of Electronic Packaging · doi:10.1115/1.4034605 · Cited by 559
Jiang, P., Qian, X., & Yang, R. (2018) · Journal of Applied Physics · doi:10.1063/1.5046944 · Cited by 424
Role of low-energy phonons with mean-free-paths >0.8 μ 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
Modeling optical absorption for thermoreflectance measurements
Yang, J., Ziade, E., & Schmidt, A. J. (2016) · Journal of Applied Physics · doi:10.1063/1.4943176 · Cited by 37
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
Self-citationBoundary conditions dictate frequency dependence of thermal conductivity in silicon
Liu, Y., Li, Q., Liu, F., Wang, X., & Sun, B. (2024) · arXiv · doi:10.48550/arxiv.2412.02227 · Cited by 2
“Frequency dependent Λ has achieved great success in probing the spectral distribution of phonon MFPs in semiconductor alloys and 2D materials, where we assume phonons with MFPs longer than the characteristic length undergo ballistic transport and do not contribute to the measured Λ [10, 30].”
Metadata
- Authors
- Hu, Y., Zeng, L., Minnich, A. J., Dresselhaus, M. S., & Chen, G.
- Venue
- Nature Nanotechnology
- Published
- 2015-06-01
- Volume
- 10
- Issue
- 8
- Pages
- 701-706
- ISSN
- 1748-3387
- 1748-3395
- Cited by
- 341
- References
- 13
- Language
- en
- Licence
- www.springer.com/tdm (tdm)
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