Thermal conductivity of phononic membranes with aligned and staggered lattices of holes at room and low temperatures

被引:40
作者
Verdier, Maxime [1 ]
Anufriev, Roman [2 ]
Ramiere, Aymeric [2 ,3 ]
Termentzidis, Konstantinos [1 ]
Lacroix, David [1 ]
机构
[1] Univ Lorraine, LEMTA CNRS, UMR 7563, F-54500 Vandoeuvre Les Nancy, France
[2] Univ Tokyo, Inst Ind Sci, Tokyo 1538505, Japan
[3] Univ Tokyo, UMI 2820, LIMMS CNRS IIS, Tokyo 1538505, Japan
基金
日本学术振兴会;
关键词
SILICON NANOWIRES; TRANSPORT; SCATTERING; REDUCTION; PROPERTY;
D O I
10.1103/PhysRevB.95.205438
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The in-plane thermal conductivity of silicon phononic membranes is investigated by micro time domain ther-moreflectance and Monte Carlo simulations. Strong reduction of thermal conductivity is observed mainly due to phonon boundary scattering for both aligned and staggered lattices of holes. The measured and calculated thermal conductivities of the porous membranes with cylindrical holes are found to be in good quantitative agreement (at 4 K and 300 K). A significant difference between thermal conductivities of aligned and staggered lattice of identical porosities is observed. This difference is shown to arise from ballistic phonons that acquired directionality by propagating between the holes. The directionality effect strengthens when the temperature is decreased or when the diameter of the holes becomes close to the period. Finally, we propose a model, which quantifies and explains the difference between thermal conductivities of aligned and staggered lattices based on geometric considerations.
引用
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页数:10
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共 32 条
[1]   Heat guiding and focusing using ballistic phonon transport in phononic nanostructures [J].
Anufriev, Roman ;
Ramiere, Aymeric ;
Maire, Jeremie ;
Nomura, Masahiro .
NATURE COMMUNICATIONS, 2017, 8
[2]   Reduction of thermal conductivity by surface scattering of phonons in periodic silicon nanostructures [J].
Anufriev, Roman ;
Maire, Jeremie ;
Nomura, Masahiro .
PHYSICAL REVIEW B, 2016, 93 (04)
[3]   Phonon-boundary scattering in thin silicon layers [J].
Asheghi, M ;
Leung, YK ;
Wong, SS ;
Goodson, KE .
APPLIED PHYSICS LETTERS, 1997, 71 (13) :1798-1800
[4]   An invariance property of diffusive random walks [J].
Blanco, S ;
Fournier, R .
EUROPHYSICS LETTERS, 2003, 61 (02) :168-173
[5]   Nanoscale thermal transport. II. 2003-2012 [J].
Cahill, David G. ;
Braun, Paul V. ;
Chen, Gang ;
Clarke, David R. ;
Fan, Shanhui ;
Goodson, Kenneth E. ;
Keblinski, Pawel ;
King, William P. ;
Mahan, Gerald D. ;
Majumdar, Arun ;
Maris, Humphrey J. ;
Phillpot, Simon R. ;
Pop, Eric ;
Shi, Li .
APPLIED PHYSICS REVIEWS, 2014, 1 (01)
[6]   Reduction of the thermal conductivity in free-standing silicon nano-membranes investigated by non-invasive Raman thermometry [J].
Chavez-Angel, E. ;
Reparaz, J. S. ;
Gomis-Bresco, J. ;
Wagner, M. R. ;
Cuffe, J. ;
Graczykowski, B. ;
Shchepetov, A. ;
Jiang, H. ;
Prunnila, M. ;
Ahopelto, J. ;
Alzina, F. ;
Torres, C. M. Sotomayor .
APL MATERIALS, 2014, 2 (01)
[7]   Model for thermal conductivity in nanoporous silicon from atomistic simulations [J].
Dettori, Riccardo ;
Melis, Claudio ;
Cartoixa, Xavier ;
Rurali, Riccardo ;
Colombo, Luciano .
PHYSICAL REVIEW B, 2015, 91 (05)
[8]   PHONON SCATTERING IN SEMICONDUCTORS FROM THERMAL CONDUCTIVITY STUDIES [J].
HOLLAND, MG .
PHYSICAL REVIEW, 1964, 134 (2A) :A471-+
[9]   ANALYSIS OF LATTICE THERMAL CONDUCTIVITY [J].
HOLLAND, MG .
PHYSICAL REVIEW, 1963, 132 (06) :2461-&
[10]   Phonon transport in periodic silicon nanoporous films with feature sizes greater than 100 nm [J].
Jain, Ankit ;
Yu, Ying-Ju ;
McGaughey, Alan J. H. .
PHYSICAL REVIEW B, 2013, 87 (19)