Ballistic Phonon Transport in Holey Silicon

Lee, Jaeho; Lim, Jongwoo; Yang, Peidong

doi:10.1021/acs.nanolett.5b00495

Title: Ballistic Phonon Transport in Holey Silicon

Journal Article · Fri Apr 10 00:00:00 EDT 2015 · Nano Letters

DOI:https://doi.org/10.1021/acs.nanolett.5b00495· OSTI ID:1832454

Lee, Jaeho ^[1]; Lim, Jongwoo ^[1]; Yang, Peidong ^[2]

Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States)
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Berkeley, CA (United States); Kavli Energy NanoScience Institute, Berkeley, CA (United States); Univ. of California, Irvine, CA (United States)

When the size of semiconductors is smaller than the phonon mean free path, phonons can carry heat with no internal scattering. Ballistic phonon transport has received attention for both theoretical and practical aspects because Fourier's law of heat conduction breaks down and the heat dissipation in nanoscale transistors becomes unpredictable in the ballistic regime. While recent experiments demonstrate room-temperature evidence of ballistic phonon transport in various nanomaterials, the thermal conductivity data for silicon in the length scale of 10-100 nm is still not available due to experimental challenges. In this work, we show ballistic phonon transport prevails in the cross-plane direction of holey silicon from 35 to 200 nm. The thermal conductivity scales linearly with the length (thickness) even though the lateral dimension (neck) is as narrow as 20 nm. We assess the impact of long-wavelength phonons and predict a transition from ballistic to diffusive regime using scaling models. Our results support strong persistence of long-wavelength phonons in nanostructures and are useful for controlling phonon transport for thermoelectrics and potential phononic applications.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1832454

Journal Information:: Nano Letters, Vol. 15, Issue 5; ISSN 1530-6984

Publisher:: American Chemical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (32)

Quasi-ballistic thermal transport from nanoscale interfaces observed using ultrafast coherent soft X-ray beams Siemens, Mark E.; Li, Qing; Yang, Ronggui Nature Materials, Vol. 9, Issue 1 https://doi.org/10.1038/nmat2568	journal	November 2009
Holey Silicon as an Efficient Thermoelectric Material Tang, Jinyao; Wang, Hung-Ta; Lee, Dong Hyun Nano Letters, Vol. 10, Issue 10 https://doi.org/10.1021/nl102931z	journal	October 2010
Measurement of ballistic phonon conduction near hotspots in silicon Sverdrup, P. G.; Sinha, S.; Asheghi, M. Applied Physics Letters, Vol. 78, Issue 21 https://doi.org/10.1063/1.1371536	journal	May 2001
Theoretical phonon thermal conductivity of Si/Ge superlattice nanowires Dames, C.; Chen, G. Journal of Applied Physics, Vol. 95, Issue 2 https://doi.org/10.1063/1.1631734	journal	January 2004
Thermal Conductivity Measurements of Ultra-Thin Single Crystal Silicon Layers Liu, Wenjun; Asheghi, Mehdi Journal of Heat Transfer, Vol. 128, Issue 1 https://doi.org/10.1115/1.2130403	journal	June 2005
Sound and heat revolutions in phononics Maldovan, Martin Nature, Vol. 503, Issue 7475 https://doi.org/10.1038/nature12608	journal	November 2013
Thermal conductivity anisotropy and grain structure in Ge ₂ Sb ₂ Te ₅ films Lee, Jaeho; Li, Zijian; Reifenberg, John P. Journal of Applied Physics, Vol. 109, Issue 8 https://doi.org/10.1063/1.3573505	journal	April 2011
Mean free path spectra as a tool to understand thermal conductivity in bulk and nanostructures Yang, Fan; Dames, Chris Physical Review B, Vol. 87, Issue 3 https://doi.org/10.1103/PhysRevB.87.035437	journal	January 2013
Observation of room-temperature ballistic thermal conduction persisting over 8.3 µm in SiGe nanowires Hsiao, Tzu-Kan; Chang, Hsu-Kai; Liou, Sz-Chian Nature Nanotechnology, Vol. 8, Issue 7 https://doi.org/10.1038/nnano.2013.121	journal	June 2013
Size effects in molecular dynamics thermal conductivity predictions Sellan, D. P.; Landry, E. S.; Turney, J. E. Physical Review B, Vol. 81, Issue 21 https://doi.org/10.1103/PhysRevB.81.214305	journal	June 2010
Direct Measurement of Room-Temperature Nondiffusive Thermal Transport Over Micron Distances in a Silicon Membrane Johnson, Jeremy A.; Maznev, A. A.; Cuffe, John Physical Review Letters, Vol. 110, Issue 2 https://doi.org/10.1103/PhysRevLett.110.025901	journal	January 2013
Calculation of Si nanowire thermal conductivity using complete phonon dispersion relations Mingo, N. Physical Review B, Vol. 68, Issue 11 https://doi.org/10.1103/PhysRevB.68.113308	journal	September 2003
Colloquium : Phononics: Manipulating heat flow with electronic analogs and beyond Li, Nianbei; Ren, Jie; Wang, Lei Reviews of Modern Physics, Vol. 84, Issue 3 https://doi.org/10.1103/RevModPhys.84.1045	journal	July 2012
Silicon nanowires as efficient thermoelectric materials Boukai, Akram I.; Bunimovich, Yuri; Tahir-Kheli, Jamil Nature, Vol. 451, Issue 7175, p. 168-171 https://doi.org/10.1038/nature06458	journal	January 2008
Heat Generation and Transport in Nanometer-Scale Transistors Pop, E.; Sinha, S.; Goodson, K. E. Proceedings of the IEEE, Vol. 94, Issue 8 https://doi.org/10.1109/JPROC.2006.879794	journal	August 2006
Thermal conductivity measurement from 30 to 750 K: the 3ω method Cahill, David G. Review of Scientific Instruments, Vol. 61, Issue 2 https://doi.org/10.1063/1.1141498	journal	February 1990
Coherent phonon scattering effects on thermal transport in thin semiconductor nanowires Murphy, P. G.; Moore, J. E. Physical Review B, Vol. 76, Issue 15 https://doi.org/10.1103/PhysRevB.76.155313	journal	October 2007
Phonon-boundary scattering in thin silicon layers Asheghi, M.; Leung, Y. K.; Wong, S. S. Applied Physics Letters, Vol. 71, Issue 13 https://doi.org/10.1063/1.119402	journal	September 1997
Thermal conductivity of simple and tubular nanowire composites in the longitudinal direction Yang, Ronggui; Chen, Gang; Dresselhaus, Mildred S. Physical Review B, Vol. 72, Issue 12 https://doi.org/10.1103/PhysRevB.72.125418	journal	September 2005
Enhanced thermoelectric performance of rough silicon nanowires Hochbaum, Allon I.; Chen, Renkun; Delgado, Raul Diaz Nature, Vol. 451, Issue 7175, p. 163-167 https://doi.org/10.1038/nature06381	journal	January 2008
Phonon scattering in silicon films with thickness of order 100 nm Ju, Y. S.; Goodson, K. E. Applied Physics Letters, Vol. 74, Issue 20 https://doi.org/10.1063/1.123994	journal	May 1999
Quantifying Surface Roughness Effects on Phonon Transport in Silicon Nanowires Lim, Jongwoo; Hippalgaonkar, Kedar; Andrews, Sean C. Nano Letters, Vol. 12, Issue 5 https://doi.org/10.1021/nl3005868	journal	April 2012
Thermal conductivity and ballistic-phonon transport in the cross-plane direction of superlattices Chen, G. Physical Review B, Vol. 57, Issue 23, p. 14958-14973 https://doi.org/10.1103/PhysRevB.57.14958	journal	June 1998
Phonon heat conduction in a semiconductor nanowire Zou, Jie; Balandin, Alexander Journal of Applied Physics, Vol. 89, Issue 5 https://doi.org/10.1063/1.1345515	journal	March 2001
Approximate Analytical Models for Phonon Specific Heat and Ballistic Thermal Conductance of Nanowires Prasher, Ravi; Tong, Tao; Majumdar, Arun Nano Letters, Vol. 8, Issue 1 https://doi.org/10.1021/nl0721665	journal	December 2007
Reduction of thermal conductivity in phononic nanomesh structures Yu, Jen-Kan; Mitrovic, Slobodan; Tham, Douglas Nature Nanotechnology, Vol. 5, Issue 10 https://doi.org/10.1038/nnano.2010.149	journal	July 2010
Fabrication of Microdevices with Integrated Nanowires for Investigating Low-Dimensional Phonon Transport Hippalgaonkar, Kedar; Huang, Baoling; Chen, Renkun Nano Letters, Vol. 10, Issue 11 https://doi.org/10.1021/nl101671r	journal	November 2010
Spectral Phonon Transport Properties of Silicon Based on Molecular Dynamics Simulations and Lattice Dynamics Henry, Asegun S.; Chen, Gang Journal of Computational and Theoretical Nanoscience, Vol. 5, Issue 2 https://doi.org/10.1166/jctn.2008.2454	journal	February 2008
Comparison of atomic-level simulation methods for computing thermal conductivity Schelling, Patrick K.; Phillpot, Simon R.; Keblinski, Pawel Physical Review B, Vol. 65, Issue 14 https://doi.org/10.1103/PhysRevB.65.144306	journal	April 2002
Scaling laws for thermal conductivity of crystalline nanoporous silicon based on molecular dynamics simulations Fang, Jin; Pilon, Laurent Journal of Applied Physics, Vol. 110, Issue 6 https://doi.org/10.1063/1.3638054	journal	September 2011
Thermal conductivity of individual silicon nanowires Li, Deyu; Wu, Yiying; Kim, Philip Applied Physics Letters, Vol. 83, Issue 14, p. 2934-2936 https://doi.org/10.1063/1.1616981	journal	October 2003
Thermal Conductance of Thin Silicon Nanowires Chen, Renkun; Hochbaum, Allon I.; Murphy, Padraig Physical Review Letters, Vol. 101, Issue 10 https://doi.org/10.1103/PhysRevLett.101.105501	journal	September 2008

Cited By (27)

Heat guiding and focusing using ballistic phonon transport in phononic nanostructures Anufriev, Roman; Ramiere, Aymeric; Maire, Jeremie Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/ncomms15505	journal	May 2017
Hollow‐Structured Materials for Thermal Insulation Hu, Feng; Wu, Siyu; Sun, Yugang Advanced Materials, Vol. 31, Issue 38 https://doi.org/10.1002/adma.201801001	journal	July 2018
2D Phononic Crystals: Progress and Prospects in Hypersound and Thermal Transport Engineering Sledzinska, Marianna; Graczykowski, Bartlomiej; Maire, Jeremie Advanced Functional Materials, Vol. 30, Issue 8 https://doi.org/10.1002/adfm.201904434	journal	August 2019
Non-uniaxial stress-assisted fabrication of nanoconstriction on vertical nanostructured Si Zeng, Miaoxuan; Li, Ximing; Huang, Yifeng Nanotechnology, Vol. 30, Issue 36 https://doi.org/10.1088/1361-6528/ab1f5f	journal	June 2019
Modelling of thermal transport through a nanocellular polymer foam: toward the generation of a new superinsulating material Wang, Guilong; Wang, Chongda; Zhao, Jinchuan Nanoscale, Vol. 9, Issue 18 https://doi.org/10.1039/c7nr00327g	journal	January 2017
Role of excess tellurium on the electrical and thermal properties in Te-doped paracostibite Guélou, G.; Failamani, F.; Sauerschnig, P. Journal of Materials Chemistry C, Vol. 8, Issue 5 https://doi.org/10.1039/c9tc04840e	journal	January 2020
Investigation of phonon coherence and backscattering using silicon nanomeshes Lee, Jaeho; Lee, Woochul; Wehmeyer, Geoff Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/ncomms14054	journal	January 2017
Ultra-low thermal conductivity of two-dimensional phononic crystals in the incoherent regime Xie, Guofeng; Ju, Zhifang; Zhou, Kuikui npj Computational Materials, Vol. 4, Issue 1 https://doi.org/10.1038/s41524-018-0076-9	journal	April 2018
Kink as a new degree of freedom to tune the thermal conductivity of Si nanoribbons Yang, Lin; Zhang, Qian; Wei, Zhiyong Journal of Applied Physics, Vol. 126, Issue 15 https://doi.org/10.1063/1.5119727	journal	October 2019
Investigation of thermal conduction in symmetric and asymmetric nanoporous structures Yu, Ziqi; Ferrer-Argemi, Laia; Lee, Jaeho Journal of Applied Physics, Vol. 122, Issue 24 https://doi.org/10.1063/1.5006818	journal	December 2017
High-throughput $Z T$ predictions of nanoporous bulk materials as next-generation thermoelectric materials: A material genome approach Hao, Qing; Xu, Dongchao; Lu, Na Physical Review B, Vol. 93, Issue 20 https://doi.org/10.1103/physrevb.93.205206	journal	May 2016
TSV-integrated thermoelectric cooling by holey silicon for hot spot thermal management Ren, Zongqing; Yu, Ziqi; Kim, Jae Choon Nanotechnology, Vol. 30, Issue 3 https://doi.org/10.1088/1361-6528/aaea3a	journal	November 2018
Thermal Transport in 3D Nanostructures Zhan, Haifei; Nie, Yihan; Chen, Yongnan Advanced Functional Materials, Vol. 30, Issue 8 https://doi.org/10.1002/adfm.201903841	journal	August 2019
Phonon-engineered solids constructed from nanocrystals Jansen, Maximilian; Yazdani, Nuri; Wood, Vanessa ETH Zurich https://doi.org/10.3929/ethz-b-000362604	text	January 2019
Influence of amorphous layers on the thermal conductivity of phononic crystals Verdier, Maxime; Lacroix, David; Didenko, Stanislav Physical Review B, Vol. 97, Issue 11 https://doi.org/10.1103/physrevb.97.115435	journal	March 2018
Monte Carlo phonon transport simulations in hierarchically disordered silicon nanostructures Chakraborty, Dhritiman; Foster, Samuel; Neophytou, Neophytos Physical Review B, Vol. 98, Issue 11 https://doi.org/10.1103/physrevb.98.115435	journal	September 2018
Automatic thermal conductivity measurements with 3-omega technique Chernodoubov, D. A.; Inyushkin, A. V. Review of Scientific Instruments, Vol. 90, Issue 2 https://doi.org/10.1063/1.5084103	journal	February 2019
Enhancing Modulation of Thermal Conduction in Vanadium Dioxide Thin Film by Nanostructured Nanogaps Choe, Hwan Sung; Suh, Joonki; Ko, Changhyun Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/s41598-017-07466-4	journal	August 2017
Effects of metal silicide inclusion interface and shape on thermal transport in silicon nanocomposites Ferrer-Argemi, Laia; Yu, Ziqi; Lee, Jaeho Journal of Applied Physics, Vol. 126, Issue 3 https://doi.org/10.1063/1.5099507	journal	July 2019
Reduction of thermal conductivity by surface scattering of phonons in periodic silicon nanostructures Anufriev, Roman; Maire, Jeremie; Nomura, Masahiro Physical Review B, Vol. 93, Issue 4 https://doi.org/10.1103/physrevb.93.045411	journal	January 2016
Spectral analysis of nonequilibrium molecular dynamics: Spectral phonon temperature and local nonequilibrium in thin films and across interfaces Feng, Tianli; Yao, Wenjun; Wang, Zuyuan Physical Review B, Vol. 95, Issue 19 https://doi.org/10.1103/physrevb.95.195202	journal	May 2017
Phononic topological insulators based on six-petal holey silicon structures Yu, Ziqi; Ren, Zongqing; Lee, Jaeho Scientific Reports, Vol. 9, Issue 1 https://doi.org/10.1038/s41598-018-38387-5	journal	February 2019
Impact of pore anisotropy on the thermal conductivity of porous Si nanowires Ferrando-Villalba, P.; D’Ortenzi, L.; Dalkiranis, G. G. Scientific Reports, Vol. 8, Issue 1 https://doi.org/10.1038/s41598-018-30223-0	journal	August 2018
Phase-dependent thermal conductivity of electrodeposited antimony telluride films Yu, Ziqi; Ferrer-Argemi, Laia; Kim, Jiwon Journal of Materials Chemistry C, Vol. 6, Issue 13 https://doi.org/10.1039/c8tc00140e	journal	January 2018
Phonon-engineered solids constructed from nanocrystals Jansen, Maximilian; Yazdani, Nuri; Wood, Vanessa APL Materials, Vol. 7, Issue 8 https://doi.org/10.1063/1.5111113	journal	August 2019
Directional Phonon Suppression Function as a Tool for the Identification of Ultralow Thermal Conductivity Materials Romano, Giuseppe; Kolpak, Alexie M. Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/srep44379	journal	March 2017
Heat guiding and focusing using ballistic phonon transport in phononic nanostructures Anufriev, Roman; Ramiere, Aymeric; Maire, Jeremie arXiv https://doi.org/10.48550/arxiv.1609.08003	text	January 2016

Similar Records

Simultaneous Thermoelectric Property Measurement and Incoherent Phonon Transport in Holey Silicon

Journal Article · Wed Dec 09 00:00:00 EST 2015 · ACS Nano · OSTI ID:1832454

Lim, Jongwoo; Wang, Hung-Ta; Tang, Jinyao; +6 more

Measurement of quasi-ballistic heat transport across nanoscale interfaces using ultrafast coherent soft x-ray beams

Journal Article · Mon Mar 02 00:00:00 EST 2009 · Science · OSTI ID:1832454

Siemens, M; Li, Q; Yang, R; +4 more

Thermal transport in nanoporous holey silicon membranes investigated with optically induced transient thermal gratings

Journal Article · Thu Dec 17 00:00:00 EST 2020 · Journal of Applied Physics · OSTI ID:1832454

Duncan, Ryan A.; Romano, Giuseppe; Sledzinska, Marianna; +5 more

Related Subjects

77 NANOSCIENCE AND NANOTECHNOLOGY
thermal conductivity
cross-plane
heat transfer
thermoelectric
nanoporous
phononic crystals

Title: Ballistic Phonon Transport in Holey Silicon

Citation Formats

References (32)

Cited By (27)

Similar Records

Related Subjects