Phonon localization in heat conduction

Luckyanova, M. N.; Mendoza, J.; Lu, H.; Song, B.; Huang, S.; Zhou, J.; Li, M.; Dong, Y.; Zhou, H.; Garlow, J.; Wu, L.; Kirby, B. J.; Grutter, A. J.; Puretzky, A. A.; Zhu, Y.; Dresselhaus, M. S.; Gossard, A.; Chen, G.

doi:10.1126/sciadv.aat9460

Title: Phonon localization in heat conduction

Journal Article · Fri Dec 21 00:00:00 EST 2018 · Science Advances

DOI:https://doi.org/10.1126/sciadv.aat9460· OSTI ID:1511938

^[1]; Mendoza, J. ^[1]; Lu, H. ^[2];

^[1];

^[3];

^[1];

^[1]; Dong, Y. ^[4]; Zhou, H. ^[5]; Garlow, J. ^[6];

^[6];

^[7];

^[8];

^[6]; Dresselhaus, M. S. ^[9]; Gossard, A. ^[2];

^[1]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Mechanical Engineering
Univ. of California, Santa Barbara, CA (United States). Materials Dept.
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Electrical Engineering and Computer Science
Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source; Univ. of Science and Technology of China, Hefei (China). National Synchrotron Radiation Lab.
Argonne National Lab. (ANL), Argonne, IL (United States). Advanced Photon Source
Brookhaven National Lab. (BNL), Upton, NY (United States). Condensed Matter Physics and Materials Science Dept.
National Inst. of Standards and Technology (NIST), Gaithersburg, MD (United States). Center for Neutron Research
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Center for Nanophase Materials Science
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Electrical Engineering and Computer Science. Dept. of Physics

Nondiffusive phonon thermal transport, extensively observed in nanostructures, has largely been attributed to classical size effects, ignoring the wave nature of phonons. We report localization behavior in phonon heat conduction due to multiple scattering and interference events of broadband phonons, by measuring the thermal conductivities of GaAs/AlAs superlattices with ErAs nanodots randomly distributed at the interfaces. With an increasing number of superlattice periods, the measured thermal conductivities near room temperature increased and eventually saturated, indicating a transition from ballistic to diffusive transport. In contrast, at cryogenic temperatures the thermal conductivities first increased but then decreased, signaling phonon wave localization, as supported by atomistic Greenşs function simulations. The discovery of phonon localization suggests a new path forward for engineering phonon thermal transport.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: Energy Frontier Research Centers (EFRC) (United States). Center for Energy Efficient Materials (CEEM). Solid-State Solar-Thermal Energy Conversion Center (S3TEC); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Univ. of California, Santa Barbara, CA (United States); Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC05-00OR22725; SC0012704; SC0001299; SC0001009; AC02-06CH11357

OSTI ID:: 1511938

Alternate ID(s):: OSTI ID: 1491683; OSTI ID: 1504458

Report Number(s):: BNL-210909-2019-JAAM

Journal Information:: Science Advances, Vol. 4, Issue 12; ISSN 2375-2548

Publisher:: AAASCopyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 80 works

Citation information provided by
Web of Science

References (55)

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
Intrinsic lattice thermal conductivity of semiconductors from first principles Broido, D. A.; Malorny, M.; Birner, G. Applied Physics Letters, Vol. 91, Issue 23 https://doi.org/10.1063/1.2822891	journal	December 2007
Coherent Phonon Heat Conduction in Superlattices Luckyanova, M. N.; Garg, J.; Esfarjani, K. Science, Vol. 338, Issue 6109 https://doi.org/10.1126/science.1225549	journal	November 2012
Quantum Dot Superlattice Thermoelectric Materials and Devices Harman, T. C. Science, Vol. 297, Issue 5590 https://doi.org/10.1126/science.1072886	journal	September 2002
GenX : an extensible X-ray reflectivity refinement program utilizing differential evolution Björck, Matts; Andersson, Gabriella Journal of Applied Crystallography, Vol. 40, Issue 6 https://doi.org/10.1107/S0021889807045086	journal	November 2007
Strong localization of photons in certain disordered dielectric superlattices John, Sajeev Physical Review Letters, Vol. 58, Issue 23 https://doi.org/10.1103/PhysRevLett.58.2486	journal	June 1987
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials Giannozzi, Paolo; Baroni, Stefano; Bonini, Nicola Journal of Physics: Condensed Matter, Vol. 21, Issue 39, Article No. 395502 https://doi.org/10.1088/0953-8984/21/39/395502	journal	September 2009
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
Absence of Diffusion in Certain Random Lattices Anderson, P. W. Physical Review, Vol. 109, Issue 5 https://doi.org/10.1103/PhysRev.109.1492	journal	March 1958
Measurement of the displacement field of dislocations to 0.03 Å by electron microscopy Hÿtch, Martin J.; Putaux, Jean-Luc; Pénisson, Jean-Michel Nature, Vol. 423, Issue 6937 https://doi.org/10.1038/nature01638	journal	May 2003
Pulse accumulation, radial heat conduction, and anisotropic thermal conductivity in pump-probe transient thermoreflectance Schmidt, Aaron J.; Chen, Xiaoyuan; Chen, Gang Review of Scientific Instruments, Vol. 79, Issue 11 https://doi.org/10.1063/1.3006335	journal	November 2008
Probing anisotropic heat transport using time-domain thermoreflectance with offset laser spots Feser, Joseph P.; Cahill, David G. Review of Scientific Instruments, Vol. 83, Issue 10 https://doi.org/10.1063/1.4757863	journal	October 2012
Heat Conductivity of Amorphous Solids: Simulation Results on Model Structures Sheng, P.; Zhou, M. Science, Vol. 253, Issue 5019 https://doi.org/10.1126/science.253.5019.539	journal	August 1991
Disordered electronic systems Lee, Patrick A.; Ramakrishnan, T. V. Reviews of Modern Physics, Vol. 57, Issue 2 https://doi.org/10.1103/RevModPhys.57.287	journal	April 1985
Uncertainty analysis of thermoreflectance measurements Yang, Jia; Ziade, Elbara; Schmidt, Aaron J. Review of Scientific Instruments, Vol. 87, Issue 1 https://doi.org/10.1063/1.4939671	journal	January 2016
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
Precise control of thermal conductivity at the nanoscale through individual phonon-scattering barriers Pernot, G.; Stoffel, M.; Savic, I. Nature Materials, Vol. 9, Issue 6 https://doi.org/10.1038/nmat2752	journal	May 2010
Crossover from incoherent to coherent phonon scattering in epitaxial oxide superlattices Ravichandran, Jayakanth; Yadav, Ajay K.; Cheaito, Ramez Nature Materials, Vol. 13, Issue 2 https://doi.org/10.1038/nmat3826	journal	December 2013
Thin-film thermoelectric devices with high room-temperature figures of merit Venkatasubramanian, Rama; Siivola, Edward; Colpitts, Thomas Nature, Vol. 413, Issue 6856, p. 597-602 https://doi.org/10.1038/35098012	journal	October 2001
Broadband phonon mean free path contributions to thermal conductivity measured using frequency domain thermoreflectance Regner, Keith T.; Sellan, Daniel P.; Su, Zonghui Nature Communications, Vol. 4, Issue 1 https://doi.org/10.1038/ncomms2630	journal	March 2013
Phonon Optics and Phonon Propagation in Semiconductors Narayanaamurti, V. Science, Vol. 213, Issue 4509 https://doi.org/10.1126/science.213.4509.717	journal	August 1981
Quantitative measurement of displacement and strain fields from HREM micrographs Hÿtch, M. J.; Snoeck, E.; Kilaas, R. Ultramicroscopy, Vol. 74, Issue 3, p. 131-146 https://doi.org/10.1016/S0304-3991(98)00035-7	journal	August 1998
High-Thermoelectric Performance of Nanostructured Bismuth Antimony Telluride Bulk Alloys Poudel, B.; Hao, Q.; Ma, Y. Science, Vol. 320, Issue 5876, p. 634-638 https://doi.org/10.1126/science.1156446	journal	May 2008
Solid-State Thermal Rectifier Chang, C. W.; Okawa, D.; Majumdar, A. Science, Vol. 314, Issue 5802 https://doi.org/10.1126/science.1132898	journal	November 2006
Highly convergent schemes for the calculation of bulk and surface Green functions Sancho, M. P. Lopez; Sancho, J. M. Lopez; Sancho, J. M. L. Journal of Physics F: Metal Physics, Vol. 15, Issue 4 https://doi.org/10.1088/0305-4608/15/4/009	journal	April 1985
Theory of nuclear spin–lattice relaxation in ${La}_{2}$ ${CuO}_{4}$ at high temperatures Sokol, A.; Gagliano, E.; Bacci, S. Physical Review B, Vol. 47, Issue 21 https://doi.org/10.1103/PhysRevB.47.14646	journal	June 1993
Nanoscale thermal transport. II. 2003–2012 Cahill, David G.; Braun, Paul V.; Chen, Gang Applied Physics Reviews, Vol. 1, Issue 1 https://doi.org/10.1063/1.4832615	journal	March 2014
Phonon wave interference and thermal bandgap materials Maldovan, Martin Nature Materials, Vol. 14, Issue 7 https://doi.org/10.1038/nmat4308	journal	June 2015
Thermal conductivity inhibition in phonon engineered core-shell cross-section modulated Si/Ge nanowires Nika, Denis L.; Cocemasov, Alexandr I.; Crismari, Dmitrii V. Applied Physics Letters, Vol. 102, Issue 21 https://doi.org/10.1063/1.4807389	journal	May 2013
Decomposition of coherent and incoherent phonon conduction in superlattices and random multilayers Wang, Yan; Huang, Haoxiang; Ruan, Xiulin Physical Review B, Vol. 90, Issue 16 https://doi.org/10.1103/PhysRevB.90.165406	journal	October 2014
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 group velocity and thermal conduction in superlattices Tamura, Shin-ichiro; Tanaka, Yukihiro; Maris, Humphrey J. Physical Review B, Vol. 60, Issue 4 https://doi.org/10.1103/PhysRevB.60.2627	journal	July 1999
Disruption of superlattice phonons by interfacial mixing Huberman, Samuel C.; Larkin, Jason M.; McGaughey, Alan J. H. Physical Review B, Vol. 88, Issue 15 https://doi.org/10.1103/PhysRevB.88.155311	journal	October 2013
Cross-plane lattice and electronic thermal conductivities of ErAs:InGaAs∕InGaAlAs superlattices Kim, Woochul; Singer, Suzanne L.; Majumdar, Arun Applied Physics Letters, Vol. 88, Issue 24 https://doi.org/10.1063/1.2207829	journal	June 2006
Effect of nanodot areal density and period on thermal conductivity in SiGe∕Si nanodot superlattices Lee, Minjoo Larry; Venkatasubramanian, Rama Applied Physics Letters, Vol. 92, Issue 5 https://doi.org/10.1063/1.2842388	journal	February 2008
Anderson Localization of Thermal Phonons Leads to a Thermal Conductivity Maximum Mendoza, Jonathan; Chen, Gang Nano Letters, Vol. 16, Issue 12 https://doi.org/10.1021/acs.nanolett.6b03550	journal	December 2016
The Atomistic Green's Function Method: An Efficient Simulation Approach for Nanoscale Phonon Transport Zhang, W.; Fisher, T. S.; Mingo, N. Numerical Heat Transfer, Part B: Fundamentals, Vol. 51, Issue 4 https://doi.org/10.1080/10407790601144755	journal	March 2007
One-Parameter Scaling of Localization Length and Conductance in Disordered Systems MacKinnon, A.; Kramer, B. Physical Review Letters, Vol. 47, Issue 21 https://doi.org/10.1103/PhysRevLett.47.1546	journal	November 1981
Localization of acoustic waves Kirkpatrick, T. R. Physical Review B, Vol. 31, Issue 9 https://doi.org/10.1103/PhysRevB.31.5746	journal	May 1985
Lattice thermal conductivity reduction and phonon localizationlike behavior in superlattice structures Venkatasubramanian, Rama Physical Review B, Vol. 61, Issue 4 https://doi.org/10.1103/PhysRevB.61.3091	journal	January 2000
Minimum Thermal Conductivity of Superlattices Simkin, M. V.; Mahan, G. D. Physical Review Letters, Vol. 84, Issue 5 https://doi.org/10.1103/PhysRevLett.84.927	journal	January 2000
Frequency dependence of the thermal conductivity of semiconductor alloys Koh, Yee Kan; Cahill, David G. Physical Review B, Vol. 76, Issue 7 https://doi.org/10.1103/PhysRevB.76.075207	journal	August 2007
Self-assembled ErAs islands in GaAs: Growth and subpicosecond carrier dynamics Kadow, C.; Fleischer, S. B.; Ibbetson, J. P. Applied Physics Letters, Vol. 75, Issue 22 https://doi.org/10.1063/1.125384	journal	November 1999
Self-interaction correction to density-functional approximations for many-electron systems Perdew, J. P.; Zunger, Alex Physical Review B, Vol. 23, Issue 10, p. 5048-5079 https://doi.org/10.1103/PhysRevB.23.5048	journal	May 1981
Heat transport in silicon from first-principles calculations Esfarjani, Keivan; Chen, Gang; Stokes, Harold T. Physical Review B, Vol. 84, Issue 8 https://doi.org/10.1103/PhysRevB.84.085204	journal	August 2011
Thermal conductance of epitaxial interfaces Costescu, Ruxandra M.; Wall, Marcel A.; Cahill, David G. Physical Review B, Vol. 67, Issue 5 https://doi.org/10.1103/PhysRevB.67.054302	journal	February 2003
Direct observation of chemical short-range order in a medium-entropy alloy Chen, Xuefei; Wang, Qi; Cheng, Zhiying Nature, Vol. 592, Issue 7856 https://doi.org/10.1038/s41586-021-03428-z	journal	April 2021
Lattice thermal transport in two-dimensional alloys and fractal heterostructures Krishnamoorthy, Aravind; Baradwaj, Nitish; Nakano, Aiichiro Scientific Reports, Vol. 11, Issue 1 https://doi.org/10.1038/s41598-021-81055-4	journal	January 2021
Disordered Electronic Systems Al'tshuler, Boris L.; Lee, Patrick A. Physics Today, Vol. 41, Issue 12 https://doi.org/10.1063/1.881139	journal	December 1988
Heat transport in silicon from first principles calculations Esfarjani, Keivan; Chen, Gang; Stokes, Harold T. arXiv https://doi.org/10.48550/arxiv.1107.5288	text	January 2011
Phonon Transport in Isotope-Disordered Carbon and Boron-Nitride Nanotubes: Is Localization Observable? Savić, Ivana; Mingo, Natalio; Stewart, Derek A. Physical Review Letters, Vol. 101, Issue 16 https://doi.org/10.1103/physrevlett.101.165502	journal	October 2008
Role of Surface-Segregation-Driven Intermixing on the Thermal Transport through Planar $Si / Ge$ Superlattices Chen, Peixuan; Katcho, N. A.; Feser, J. P. Physical Review Letters, Vol. 111, Issue 11 https://doi.org/10.1103/physrevlett.111.115901	journal	September 2013
Observation of Folded Acoustic Phonons in a Semiconductor Superlattice Colvard, C.; Merlin, R.; Klein, M. V. Physical Review Letters, Vol. 45, Issue 4 https://doi.org/10.1103/physrevlett.45.298	journal	July 1980
Phonon transport in strong-scattering media Sheng, Ping; Zhou, Minyao; Zhang, Zhao-Qing Physical Review Letters, Vol. 72, Issue 2 https://doi.org/10.1103/physrevlett.72.234	journal	January 1994
Thermal Conductivity Inhibition in Phonon Engineered Core-Shell Cross-Section Modulated Si/Ge Nanowires Nika, Denis L.; Cocemasov, Alexandr I.; Crismari, Dmitrii V. arXiv https://doi.org/10.48550/arxiv.1305.3832	text	January 2013

Cited By (10)

Spectral Phonon Transport Engineering Using Stacked Superlattice Structures Xiong, Rui; Yang, Cong; Wang, Qinzheng International Journal of Thermophysics, Vol. 40, Issue 9 https://doi.org/10.1007/s10765-019-2552-y	journal	September 2019
Heat transfer properties of Morpho butterfly wings and the dependence of these properties on the wing surface structure Kawabe, Mari; Maeda, Hirotaka; Kasuga, Toshihiro RSC Advances, Vol. 10, Issue 5 https://doi.org/10.1039/c9ra09990e	journal	January 2020
New horizons in thermoelectric materials: Correlated electrons, organic transport, machine learning, and more Urban, Jeffrey J.; Menon, Akanksha K.; Tian, Zhiting Journal of Applied Physics, Vol. 125, Issue 18 https://doi.org/10.1063/1.5092525	journal	May 2019
Effect of interface density, quality and period on the lattice thermal conductivity of nanocomposite materials Thomas, Iorwerth O.; Srivastava, G. P. Journal of Applied Physics, Vol. 127, Issue 2 https://doi.org/10.1063/1.5099539	journal	January 2020
Origins of significant reduction of lattice thermal conductivity in graphene allotropes Choudhry, Usama; Yue, Shengying; Liao, Bolin Physical Review B, Vol. 100, Issue 16 https://doi.org/10.1103/physrevb.100.165401	journal	October 2019
Mode-conversion effects of phonons on Anderson localization Yoshihiro, Tatsuya; Nishiguchi, Norihiko Physical Review B, Vol. 100, Issue 23 https://doi.org/10.1103/physrevb.100.235441	journal	December 2019
Anderson Localization Quenches Thermal Transport in Aperiodic Superlattices Juntunen, Taneli; Vänskä, Osmo; Tittonen, Ilkka Physical Review Letters, Vol. 122, Issue 10 https://doi.org/10.1103/physrevlett.122.105901	journal	March 2019
Machine-learning-based interatomic potential for phonon transport in perfect crystalline Si and crystalline Si with vacancies Babaei, Hasan; Guo, Ruiqiang; Hashemi, Amirreza Physical Review Materials, Vol. 3, Issue 7 https://doi.org/10.1103/physrevmaterials.3.074603	journal	July 2019
Quantum mechanical modeling of anharmonic phonon-phonon scattering in nanostructures Guo, Yangyu; Bescond, Marc; Zhang, Zhongwei Physical Review B, Vol. 102, Issue 19 https://doi.org/10.1103/physrevb.102.195412	journal	November 2020
Lattice Thermal Transport in Two-Dimensional Alloys and Fractal Heterostructures Krishnamoorthy, Aravind; Baradwaj, Nitish; Nakano, Aiichiro arXiv https://doi.org/10.48550/arxiv.2009.14508	text	January 2020