Nanophononic metamaterials induced proximity effect in heat flux regulation
Jian Zhang1,2, Haochun Zhang1(), Gang Zhang2()
1. School of Energy Science and Engineering, Harbin Institute of Technology, Harbin 150001, China 2. Institute of High Performance Computing, Agency for Science, Technology and Research (A*STAR), Singapore 138632, Singapore
Recent studies have shown that the construction of nanophononic metamaterials can reduce thermal conductivity without affecting electrical properties, making them promising in many fields of application, such as energy conversion and thermal management. However, although extensive studies have been carried out on thermal conductivity reduction in nanophononic metamaterials, the local heat flux characteristic is still unclear. In this work, we construct a heat flux regulator which includes a silicon nanofilm with silicon pillars. The regulator has remarkable heat flux regulation ability, and various impacts on the regulation ability are explored. Surprisingly, even in the region without nanopillars, the local heat current is still lower than that in pristine silicon nanofilms, reduced by the neighboring nanopillars through the thermal proximity effect. We combine the analysis of the phonon participation ratio with the intensity of localized phonon modes to provide a clear explanation. Our findings not only provide insights into the mechanisms of heat flux regulation by nanophononic metamaterials, but also will open up new research directions to control local heat flux for a broad range of applications, including heat management, thermoelectric energy conversion, thermal cloak, and thermal concentrator.
Chen J. , He J. , K. Pan D. , T. Wang X. , Yang N. , J. Zhu J. , Y. A. Yang S. , Zhang G. . Emerging theory and phenomena in thermal conduction: A selective review. Sci. China Phys. Mech. Astron., 2022, 65(11): 117002 https://doi.org/10.1007/s11433-022-1952-3
2
Liang Y. , P. Huang J. . Robustness of critical points in a complex adaptive system: Effects of hedge behavior. Front. Phys., 2013, 8(4): 461 https://doi.org/10.1007/s11467-013-0339-3
3
Z. Yu Z.H. Xiong G.F. Zhang L., A brief review of thermal transport in mesoscopic systems from nonequilibrium Green’s function approach, Front. Phys. 16(4), 43201 (2021)
4
L. Davis B. , I. Hussein M. . Nanophononic metamaterial: Thermal conductivity reduction by local resonance. Phys. Rev. Lett., 2014, 112(5): 055505 https://doi.org/10.1103/PhysRevLett.112.055505
5
Honarvar H. , I. Hussein M. . Two orders of magnitude reduction in silicon membrane thermal conductivity by resonance hybridizations. Phys. Rev. B, 2018, 97(19): 195413 https://doi.org/10.1103/PhysRevB.97.195413
6
Wei Z. , Yang J. , Bi K. , Chen Y. . Phonon transport properties in pillared silicon film. J. Appl. Phys., 2015, 118(15): 155103 https://doi.org/10.1063/1.4933284
7
Y. Xiong S. , Saaskilahti K. , A. Kosevich Y. , X. Han H. , Donadio D. , Volz S. . Blocking phonon transport by structural resonances in alloy-based nanophononic metamaterials leads to ultralow thermal conductivity. Phys. Rev. Lett., 2016, 117(2): 025503 https://doi.org/10.1103/PhysRevLett.117.025503
8
Honarvar H. , Yang L. , I. Hussein M. . Thermal transport size effects in silicon membranes featuring nanopillars as local resonators. Appl. Phys. Lett., 2016, 108(26): 263101 https://doi.org/10.1063/1.4954739
Yudistira D. , Boes A. , Graczykowski B. , Alzina F. , Y. Yeo L. , M. Sotomayor Torres C. , Mitchell A. . Nanoscale pillar hypersonic surface phononic crystals. Phys. Rev. B, 2016, 94(9): 094304 https://doi.org/10.1103/PhysRevB.94.094304
11
Li B. , T. Tan K. , Christensen J. . Tailoring the thermal conductivity in nanophononic metamaterials. Phys. Rev. B, 2017, 95(14): 144305 https://doi.org/10.1103/PhysRevB.95.144305
12
Wan X. , K. Ma D. , K. Pan D. , N. Yang L. , Yang N. . Optimizing thermal transport in graphene nanoribbon based on phonon resonance hybridization. Mater. Today Phys., 2021, 20: 100445 https://doi.org/10.1016/j.mtphys.2021.100445
13
Wang H. , Cheng Y. , Fan Z. , Guo Y. , Zhang Z. , Bescond M. , Nomura M. , Ala-Nissila T. , Volz S. , Xiong S. . Anomalous thermal conductivity enhancement in low dimensional resonant nanostructures due to imperfections. Nanoscale, 2021, 13(22): 10010 https://doi.org/10.1039/D1NR01679B
14
Neogi S. , Donadio D. . Anisotropic in-plane phonon transport in silicon membranes guided by nanoscale surface resonators. Phys. Rev. Appl., 2020, 14(2): 024004 https://doi.org/10.1103/PhysRevApplied.14.024004
15
Q. Hu S. , Feng L. , Cheng S. , A. Kosevich Y. , Shiomi J. . Two-path phonon interference resonance induces a stop band in a silicon crystal matrix with a multilayer array of embedded nanoparticles. Phys. Rev. B, 2020, 102(2): 024301 https://doi.org/10.1103/PhysRevB.102.024301
16
G. Zhang H. , Sun B. , Hu S. , Y. Wang H. , J. Cheng Y. , Y. Xiong S. , Volz S. , X. Ni Y. . Novel phonon resonator based on surface screw thread for suppressing thermal transport of Si nanowires. Phys. Rev. B, 2020, 101(20): 205418 https://doi.org/10.1103/PhysRevB.101.205418
17
Juntunen T. , Vänskä O. , Tittonen I. . Anderson localization quenches thermal transport in aperiodic superlattices. Phys. Rev. Lett., 2019, 122(10): 105901 https://doi.org/10.1103/PhysRevLett.122.105901
18
Y. Guo Y. , Bescond M. , W. Zhang Z. , Y. Xiong S. , Hirakawa K. , Nomura M. , Volz S. . Thermal conductivity minimum of graded superlattices due to phonon localization. APL Mater., 2021, 9(9): 091104 https://doi.org/10.1063/5.0054921
19
Anufriev R. , Maire J. , Nomura M. . Review of coherent phonon and heat transport control in one-dimensional phononic crystals at nanoscale. APL Mater., 2021, 9(7): 070701 https://doi.org/10.1063/5.0052230
20
W. Zhang Z. , Y. Guo Y. , Bescond M. , Chen J. , Nomura M. , Volz S. . Coherent thermal transport in nano-phononic crystals: An overview. APL Mater., 2021, 9(8): 081102 https://doi.org/10.1063/5.0059024
21
B. Jin Y. , Pennec Y. , Bonello B. , Honarvar H. , Dobrzynski L. , Djafari-Rouhani B. , I. Hussein M. . Physics of surface vibrational resonances: pillared phononic crystals, metamaterials, and metasurfaces. Rep. Prog. Phys., 2021, 84(8): 086502 https://doi.org/10.1088/1361-6633/abdab8
22
H. Ma J. . Phonon engineering of micro‐ and nanophononic crystals and acoustic metamaterials: A review. Small Sci., 2023, 3(1): 2200052 https://doi.org/10.1002/smsc.202200052
H. Stillinger F. , A. Weber T. . Computer simulation of local order in condensed phases of silicon. Phys. Rev. B Condens. Matter, 1985, 31(8): 5262 https://doi.org/10.1103/PhysRevB.31.5262
25
F. Zhuang P. , J. Xu L. , Tan P. , P. Ouyang X. , P. Huang J. . Breaking efficiency limit of thermal concentrators by conductivity couplings. Sci. China Phys. Mech. Astron., 2022, 65(11): 117007 https://doi.org/10.1007/s11433-021-1889-5
26
Yang S. , Wang J. , L. Dai G. , B. Yang F. , P. Huang J. . Controlling macroscopic heat transfer with thermal metamaterials: Theory, experiment and application. Phys. Rep., 2021, 908: 1 https://doi.org/10.1016/j.physrep.2020.12.006
27
R. Zhang Z. , J. Xu L. , Qu T. , Lei M. , K. Lin Z. , P. Ouyang X. , H. Jiang J. , P. Huang J. . Diffusion metamaterials. Nat. Rev. Phys., 2023, 5(4): 218 https://doi.org/10.1038/s42254-023-00565-4
28
A. Dick K. , Deppert K. , W. Larsson M. , Martensson T. , Seifert W. , R. Wallenberg L. , Samuelson L. . Synthesis of branched ‘nanotrees’ by controlled seeding of multiple branching events. Nat. Mater., 2004, 3(6): 380 https://doi.org/10.1038/nmat1133
29
Chekurov N. , Grigoras K. , Peltonen A. , Franssila S. , Tittonen I. . The fabrication of silicon nanostructures by local gallium implantation and cryogenic deep reactive ion etching. Nanotechnology, 2009, 20(6): 065307 https://doi.org/10.1088/0957-4484/20/6/065307
30
Huang Z. , Zhang X. , Reiche M. , Liu L. , Lee W. , Shimizu T. , Senz S. , Göselee U. . Extended arrays of vertically aligned sub-10 nm diameter [100] Si nanowires by metal-assisted chemical etching. Nano Lett., 2008, 8(9): 3046 https://doi.org/10.1021/nl802324y
C. Loh G. , H. T. Teo E. , K. Tay B. . Phonon localization around vacancies in graphene nanoribbons. Diamond Related Mater., 2012, 23: 88 https://doi.org/10.1016/j.diamond.2012.01.006
33
Wang Y. , Vallabhaneni A. , N. Hu J. , Qiu B. , P. Chen Y. , L. Ruan X. . Phonon lateral confinement enables thermal rectification in asymmetric single-material nanostructures. Nano Lett., 2014, 14(2): 592 https://doi.org/10.1021/nl403773f
34
Liang T. , Zhou M. , Zhang P. , Yuan P. , G. Yang D. . Multilayer in-plane graphene/hexagonal boron nitride heterostructures: Insights into the interfacial thermal transport properties. Int. J. Heat Mass Transf., 2020, 151: 119395 https://doi.org/10.1016/j.ijheatmasstransfer.2020.119395
