纳米尺度热物理中的声子弱耦合问题

潘东楷; 宗志成; 杨诺

doi:10.7498/aps.71.20220036

摘要

纳米尺度热物理中的诸多新现象、新机制与声子弱耦合存在密切关联. 本文介绍了声子弱耦合机制, 以及相关的物理现象: 低维体系中热导率的尺寸效应、声子双温度现象和范德瓦耳斯堆叠界面的高热阻等. 同时概述了近年国内外学者对于这些新颖物理现象的前沿研究成果. 对声子弱耦合目前面临的问题, 例如理论模型如何加入声子波动性等, 进行了简要讨论和展望.

关键词:

With the development of nanoscale thermophysics, a vast number of novel phenomena have emerged, which closely relate to phonon weak couplings. The causes of phonon weak couplings mechanism and related physical discoveries are discussed in this article, including the size effect of low-dimensional systems, multi-temperature model, and van der Waals cross interfaces. Corresponding frontier researches are also summarized. The current problems of phonon weak couplings, such as how to add phonon wave-like behaviors into the theoretical model, are also briefly discussed and prospected.

Keywords:

作者及机构信息

1.
华中科技大学能源与动力工程学院, 武汉　430074

2.
中国石油大学(华东)新能源学院, 青岛　266580

通信作者: 杨诺, nuo@hust.edu.cn

Authors and contacts

1.
School of Energy and Power Engineering, Huazhong University of Science and Technology, Wuhan 430074, China

2.
College of New Energy, China University of Petroleum (East China), Qingdao 266580, China

Corresponding author: Yang Nuo, nuo@hust.edu.cn

文章全文 : translate this paragraph

参考文献

[1]	Li N, Ren J, Wang L, Zhang G, Hänggi P, Li B 2012 Rev. Mod. Phys. 84 1045 Google Scholar
[2]	Chen G 2021 Nat. Rev. Phys. 3 555 Google Scholar
[3]	Yang N, Xu X, Zhang G, Li B 2012 AIP Adv. 2 041410 Google Scholar
[4]	Xiao Y, Chen Q, Ma D, Yang N, Hao Q 2019 ES Mater. Manuf. 5 2 Google Scholar
[5]	Cahill D G, Braun P V, Chen G, Clarke D R, Fan S, Goodson K E, Keblinski P, King W P, Mahan G D, Majumdar A, Maris H J, Phillpot S R, Pop E, Shi L 2014 Appl. Phys. Rev. 1 011305 Google Scholar
[6]	Razeeb K M, Dalton E, Cross G L W, Robinson A J 2018 Int. Mater. Rev. 63 1 Google Scholar
[7]	Bar-Cohen A, Matin K, Narumanchi S 2015 J. Electron. Packag. 137 040803 Google Scholar
[8]	Ma D, Arora A, Deng S, Xie G, Shiomi J, Yang N 2019 Mater. Today Phys. 8 56 Google Scholar
[9]	Deng C, Huang Y, An M, Yang N 2021 Mater. Today Phys. 16 100305 Google Scholar
[10]	An M, Song Q, Yu X, Meng H, Ma D, Li R, Jin Z, Huang B, Yang N 2017 Nano Lett. 17 5805 Google Scholar
[11]	Vallabhaneni A K, Singh D, Bao H, Murthy J, Ruan X 2016 Phys. Rev. B 93 125432 Google Scholar
[12]	Gu X, Fan Z, Bao H, Zhao C Y 2019 Phys. Rev. B 100 064306 Google Scholar
[13]	Seol J H, Jo I, Moore A L, Lindsay L, Aitken Z H, Pettes M T, Li X, Yao Z, Huang R, Broido D, Mingo N, Ruoff R S, Shi L 2010 Science 328 213 Google Scholar
[14]	Sullivan S, Vallabhaneni A, Kholmanov I, Ruan X, Murthy J, Shi L 2017 Nano Lett. 17 2049 Google Scholar
[15]	Ghosh S, Bao W, Nika D L, Subrina S, Pokatilov E P, Lau C N, Balandin A A 2010 Nat. Mater. 9 555 Google Scholar
[16]	Woods L M, Dalvit D A R, Tkatchenko A, Rodriguez-Lopez P, Rodriguez A W, Podgornik R 2016 Rev. Mod. Phys. 88 045003 Google Scholar
[17]	Yang N 2009 Ph. D. Dissertation (Singapore: National University of Singapore)
[18]	Balandin A A 2011 Nat. Mater. 10 569 Google Scholar
[19]	Lu Z, Vallabhaneni A, Cao B, Ruan X 2018 Phys. Rev. B 98 134309 Google Scholar
[20]	Zhang C, Ma D K, Shang M Y, Wan X, Lü J T, Guo Z L, Li B W, Yang N 2022 Mater. Today Phys. 22 100605 Google Scholar
[21]	Ma D, Ding H, Wang X, Yang N, Zhang X 2017 Int. J. Heat Mass Transf. 108 940 Google Scholar
[22]	Meng H, Maruyama S, Xiang R, Yang N 2021 Int. J. Heat Mass Transf. 180 121773 Google Scholar
[23]	Song Q, An M, Chen X, Peng Z, Zang J, Yang N 2016 Nanoscale 8 14943 Google Scholar
[24]	Lepri S, Livi R, Politi A 1997 Phys. Rev. Lett. 78 1896 Google Scholar
[25]	Prosen T, Campbell D K 2000 Phys. Rev. Lett. 84 2857 Google Scholar
[26]	Lippi A, Livi R 2000 J. Stat. Phys. 100 1147 Google Scholar
[27]	Lepri S 2003 Phys. Rep. 377 1 Google Scholar
[28]	Dhar A 2008 Adv. Phys. 57 457 Google Scholar
[29]	Wang L, Hu B, Li B 2012 Phys. Rev. E 86 040101 Google Scholar
[30]	Xu X, Chen J, Li B 2016 J. Phys. Condens. Matter 28 483001 Google Scholar
[31]	Lepri S, Livi R, Politi A 2005 Chaos Interdiscip. J. Nonlinear Sci. 15 015118 Google Scholar
[32]	Yang N, Li N, Wang L, Li B 2007 Phys. Rev. B 76 020301 Google Scholar
[33]	Li N, Li B, Flach S 2010 Phys. Rev. Lett. 105 054102 Google Scholar
[34]	Liu S, Hänggi P, Li N, Ren J, Li B 2014 Phys. Rev. Lett. 112 040601 Google Scholar
[35]	Benenti G, Lepri S, Livi R 2020 Front. Phys. 8 292 Google Scholar
[36]	Lepri S, Livi R, Politi A 2020 Phys. Rev. Lett. 125 040604 Google Scholar
[37]	Wang M, Yang N, Guo Z Y 2011 J. Appl. Phys. 110 064310 Google Scholar
[38]	Maruyama S 2002 Phys. B Condens. Matter 323 193 Google Scholar
[39]	Zhang G, Li B 2005 J. Chem. Phys. 123 114714 Google Scholar
[40]	Yang N, Zhang G, Li B 2010 Nano Today 5 85 Google Scholar
[41]	Wang M, Shan X, Yang N 2012 Phys. Lett. A 376 3514 Google Scholar
[42]	Yang L, Tao Y, Zhu Y, Akter M, Wang K, Pan Z, Zhao Y, Zhang Q, Xu Y Q, Chen R, Xu T T, Chen Y, Mao Z, Li D 2021 Nat. Nanotechnol. 16 764 Google Scholar
[43]	Maruyama S 2003 Microscale Thermophys. Eng. 7 41 Google Scholar
[44]	Lepri S 2000 Eur. Phys. J. B 18 441 Google Scholar
[45]	Wang M, Guo Z-Y 2010 Phys. Lett. A 374 4312 Google Scholar
[46]	Majee A K, Aksamija Z 2016 Phys. Rev. B 93 235423 Google Scholar
[47]	Chang C W, Okawa D, Garcia H, Majumdar A, Zettl A 2008 Phys. Rev. Lett. 101 075903 Google Scholar
[48]	Lee V, Wu C H, Lou Z X, Lee W L, Chang C W 2017 Phys. Rev. Lett. 118 135901 Google Scholar
[49]	Gu X, Wei Y, Yin X, Li B, Yang R 2018 Rev. Mod. Phys. 90 041002 Google Scholar
[50]	Balandin A A, Ghosh S, Bao W, Calizo I, Teweldebrhan D, Miao F, Lau C N 2008 Nano Lett. 8 902 Google Scholar
[51]	Lindsay L, Broido D A, Mingo N 2010 Phys. Rev. B 82 115427 Google Scholar
[52]	Lindsay L, Li W, Carrete J, Mingo N, Broido D A, Reinecke T L 2014 Phys. Rev. B 89 155426 Google Scholar
[53]	Nika D L, Ghosh S, Pokatilov E P, Balandin A A 2009 Appl. Phys. Lett. 94 203103 Google Scholar
[54]	Bonini N, Garg J, Marzari N 2012 Nano Lett. 12 2673 Google Scholar
[55]	Feng T, Ruan X, Ye Z, Cao B 2015 Phys. Rev. B 91 224301 Google Scholar
[56]	Feng T, Ruan X 2018 Phys. Rev. B 97 045202 Google Scholar
[57]	Xu X, Pereira L F C, Wang Y, Wu J, Zhang K, Zhao X, Bae S, Tinh Bui C, Xie R, Thong J T L, Hong B H, Loh K P, Donadio D, Li B, Özyilmaz B 2014 Nat. Commun. 5 3689 Google Scholar
[58]	Li W, Carrete J, Mingo N 2013 Appl. Phys. Lett. 103 253103 Google Scholar
[59]	Zhu L, Zhang G, Li B 2014 Phys. Rev. B 90 214302 Google Scholar
[60]	Liu S, Xu X F, Xie R G, Zhang G, Li B W 2012 Eur. Phys. J. B 85 337 Google Scholar
[61]	Park M, Lee S C, Kim Y S 2013 J. Appl. Phys. 114 053506 Google Scholar
[62]	Barbarino G, Melis C, Colombo L 2015 Phys. Rev. B 91 035416 Google Scholar
[63]	Li Q Y, Takahashi K, Zhang X 2017 Phys. Rev. Lett. 119 179601 Google Scholar
[64]	Barbalinardo G, Chen Z, Dong H, Fan Z, Donadio D 2021 Phys. Rev. Lett. 127 025902 Google Scholar
[65]	Lu Z, Shi J, Ruan X 2019 J. Appl. Phys. 125 085107 Google Scholar
[66]	Yang N, Hu S, Ma D, Lu T, Li B 2015 Sci. Rep. 5 14878 Google Scholar
[67]	Guo Y, Wang M 2017 Phys. Rev. B 96 134312 Google Scholar
[68]	Zhang C, Guo Z, Chen S 2019 Int. J. Heat Mass Transf. 130 1366 Google Scholar
[69]	Yang J, Yang Y, Waltermire S W, Wu X, Zhang H, Gutu T, Jiang Y, Chen Y, Zinn A A, Prasher R, Xu T T, Li D 2012 Nat. Nanotechnol. 7 91 Google Scholar
[70]	Hopkins P E 2013 ISRN Mech. Eng. 2013 1 Google Scholar
[71]	Xiang R, Inoue T, Zheng Y, Kumamoto A, Qian Y, Sato Y, Liu M, Tang D, Gokhale D, Guo J, Hisama K, Yotsumoto S, Ogamoto T, Arai H, Kobayashi Y, Zhang H, Hou B, Anisimov A, Maruyama M, Miyata Y, Okada S, Chiashi S, Li Y, Kong J, Kauppinen E I, Ikuhara Y, Suenaga K, Maruyama S 2020 Science 367 537 Google Scholar
[72]	Zhang H, Xiong S, Wang H, Volz S, Ni Y 2019 EPL Europhys. Lett. 125 46001 Google Scholar
[73]	Tian Z, Esfarjani K, Chen G 2012 Phys. Rev. B 86 235304 Google Scholar
[74]	Yang Y, Chen H, Wang H, Li N, Zhang L 2018 Phys. Rev. E 98 042131 Google Scholar
[75]	Ju S, Shiga T, Feng L, Hou Z, Tsuda K, Shiomi J 2017 Phys. Rev. X 7 021024 Google Scholar
[76]	Feng W, Yu X, Wang Y, Ma D, Sun Z, Deng C, Yang N 2019 Phys. Chem. Chem. Phys. 21 25072 Google Scholar
[77]	Xiong Y, Yu X, Huang Y, Yang J, Li L, Yang N, Xu D 2019 Mater. Today Phys. 11 100139 Google Scholar
[78]	Ni Z, Wang Y, Yu T, You Y, Shen Z 2008 Phys. Rev. B 77 235403 Google Scholar
[79]	Feng J, Qi L, Huang J Y, Li J 2009 Phys. Rev. B 80 165407 Google Scholar
[80]	Kim K, Lee Z, Malone B D, Chan K T, Alemán B, Regan W, Gannett W, Crommie M F, Cohen M L, Zettl A 2011 Phys. Rev. B 83 245433 Google Scholar
[81]	Prada E, San-Jose P, Brey L 2010 Phys. Rev. Lett. 105 106802 Google Scholar
[82]	Rainis D, Taddei F, Polini M, León G, Guinea F, Fal’ko V I 2011 Phys. Rev. B 83 165403 Google Scholar
[83]	Yang N, Ni X, Jiang J W, Li B 2012 Appl. Phys. Lett. 100 093107 Google Scholar
[84]	Zeng Y J, Feng Y X, Tang L M, Chen K Q 2021 Appl. Phys. Lett. 118 183103 Google Scholar
[85]	Wu D, Huang L, Jia P Z, Cao X H, Fan Z Q, Zhou W X, Chen K Q 2021 Appl. Phys. Lett. 119 063503 Google Scholar
[86]	Deng C, Yu X, Huang X, Yang N 2017 J. Heat Transf. 139 054504 Google Scholar
[87]	Song H, Liu J, Liu B, Wu J, Cheng H M, Kang F 2018 Joule 2 442 Google Scholar
[88]	Zhu X L, Yang H, Zhou W X, Wang B, Xu N, Xie G 2020 ACS Appl. Mater. Interfaces 12 36102 Google Scholar
[89]	Xie G, Ju Z, Zhou K, Wei X, Guo Z, Cai Y, Zhang G 2018 npj Comput. Mater. 4 21 Google Scholar
[90]	Xu K, Deng S, Liang T, Cao X, Han M, Zeng X, Zhang Z, Yang N, Wu J 2022 Nanoscale 14 3078 Google Scholar

施引文献

图 1 与声子弱耦合紧密相关的多个低维纳米尺度导热的新物理现象^[10,17-23]

Fig. 1. The new physical phenomena in low dimensional heat conduction closely related to the phonon weak couplings^[10,17-23].

下载: 全尺寸图片幻灯片

[1]	Li N, Ren J, Wang L, Zhang G, Hänggi P, Li B 2012 Rev. Mod. Phys. 84 1045 Google Scholar
[2]	Chen G 2021 Nat. Rev. Phys. 3 555 Google Scholar
[3]	Yang N, Xu X, Zhang G, Li B 2012 AIP Adv. 2 041410 Google Scholar
[4]	Xiao Y, Chen Q, Ma D, Yang N, Hao Q 2019 ES Mater. Manuf. 5 2 Google Scholar
[5]	Cahill D G, Braun P V, Chen G, Clarke D R, Fan S, Goodson K E, Keblinski P, King W P, Mahan G D, Majumdar A, Maris H J, Phillpot S R, Pop E, Shi L 2014 Appl. Phys. Rev. 1 011305 Google Scholar
[6]	Razeeb K M, Dalton E, Cross G L W, Robinson A J 2018 Int. Mater. Rev. 63 1 Google Scholar
[7]	Bar-Cohen A, Matin K, Narumanchi S 2015 J. Electron. Packag. 137 040803 Google Scholar
[8]	Ma D, Arora A, Deng S, Xie G, Shiomi J, Yang N 2019 Mater. Today Phys. 8 56 Google Scholar
[9]	Deng C, Huang Y, An M, Yang N 2021 Mater. Today Phys. 16 100305 Google Scholar
[10]	An M, Song Q, Yu X, Meng H, Ma D, Li R, Jin Z, Huang B, Yang N 2017 Nano Lett. 17 5805 Google Scholar
[11]	Vallabhaneni A K, Singh D, Bao H, Murthy J, Ruan X 2016 Phys. Rev. B 93 125432 Google Scholar
[12]	Gu X, Fan Z, Bao H, Zhao C Y 2019 Phys. Rev. B 100 064306 Google Scholar
[13]	Seol J H, Jo I, Moore A L, Lindsay L, Aitken Z H, Pettes M T, Li X, Yao Z, Huang R, Broido D, Mingo N, Ruoff R S, Shi L 2010 Science 328 213 Google Scholar
[14]	Sullivan S, Vallabhaneni A, Kholmanov I, Ruan X, Murthy J, Shi L 2017 Nano Lett. 17 2049 Google Scholar
[15]	Ghosh S, Bao W, Nika D L, Subrina S, Pokatilov E P, Lau C N, Balandin A A 2010 Nat. Mater. 9 555 Google Scholar
[16]	Woods L M, Dalvit D A R, Tkatchenko A, Rodriguez-Lopez P, Rodriguez A W, Podgornik R 2016 Rev. Mod. Phys. 88 045003 Google Scholar
[17]	Yang N 2009 Ph. D. Dissertation (Singapore: National University of Singapore)
[18]	Balandin A A 2011 Nat. Mater. 10 569 Google Scholar
[19]	Lu Z, Vallabhaneni A, Cao B, Ruan X 2018 Phys. Rev. B 98 134309 Google Scholar
[20]	Zhang C, Ma D K, Shang M Y, Wan X, Lü J T, Guo Z L, Li B W, Yang N 2022 Mater. Today Phys. 22 100605 Google Scholar
[21]	Ma D, Ding H, Wang X, Yang N, Zhang X 2017 Int. J. Heat Mass Transf. 108 940 Google Scholar
[22]	Meng H, Maruyama S, Xiang R, Yang N 2021 Int. J. Heat Mass Transf. 180 121773 Google Scholar
[23]	Song Q, An M, Chen X, Peng Z, Zang J, Yang N 2016 Nanoscale 8 14943 Google Scholar
[24]	Lepri S, Livi R, Politi A 1997 Phys. Rev. Lett. 78 1896 Google Scholar
[25]	Prosen T, Campbell D K 2000 Phys. Rev. Lett. 84 2857 Google Scholar
[26]	Lippi A, Livi R 2000 J. Stat. Phys. 100 1147 Google Scholar
[27]	Lepri S 2003 Phys. Rep. 377 1 Google Scholar
[28]	Dhar A 2008 Adv. Phys. 57 457 Google Scholar
[29]	Wang L, Hu B, Li B 2012 Phys. Rev. E 86 040101 Google Scholar
[30]	Xu X, Chen J, Li B 2016 J. Phys. Condens. Matter 28 483001 Google Scholar
[31]	Lepri S, Livi R, Politi A 2005 Chaos Interdiscip. J. Nonlinear Sci. 15 015118 Google Scholar
[32]	Yang N, Li N, Wang L, Li B 2007 Phys. Rev. B 76 020301 Google Scholar
[33]	Li N, Li B, Flach S 2010 Phys. Rev. Lett. 105 054102 Google Scholar
[34]	Liu S, Hänggi P, Li N, Ren J, Li B 2014 Phys. Rev. Lett. 112 040601 Google Scholar
[35]	Benenti G, Lepri S, Livi R 2020 Front. Phys. 8 292 Google Scholar
[36]	Lepri S, Livi R, Politi A 2020 Phys. Rev. Lett. 125 040604 Google Scholar
[37]	Wang M, Yang N, Guo Z Y 2011 J. Appl. Phys. 110 064310 Google Scholar
[38]	Maruyama S 2002 Phys. B Condens. Matter 323 193 Google Scholar
[39]	Zhang G, Li B 2005 J. Chem. Phys. 123 114714 Google Scholar
[40]	Yang N, Zhang G, Li B 2010 Nano Today 5 85 Google Scholar
[41]	Wang M, Shan X, Yang N 2012 Phys. Lett. A 376 3514 Google Scholar
[42]	Yang L, Tao Y, Zhu Y, Akter M, Wang K, Pan Z, Zhao Y, Zhang Q, Xu Y Q, Chen R, Xu T T, Chen Y, Mao Z, Li D 2021 Nat. Nanotechnol. 16 764 Google Scholar
[43]	Maruyama S 2003 Microscale Thermophys. Eng. 7 41 Google Scholar
[44]	Lepri S 2000 Eur. Phys. J. B 18 441 Google Scholar
[45]	Wang M, Guo Z-Y 2010 Phys. Lett. A 374 4312 Google Scholar
[46]	Majee A K, Aksamija Z 2016 Phys. Rev. B 93 235423 Google Scholar
[47]	Chang C W, Okawa D, Garcia H, Majumdar A, Zettl A 2008 Phys. Rev. Lett. 101 075903 Google Scholar
[48]	Lee V, Wu C H, Lou Z X, Lee W L, Chang C W 2017 Phys. Rev. Lett. 118 135901 Google Scholar
[49]	Gu X, Wei Y, Yin X, Li B, Yang R 2018 Rev. Mod. Phys. 90 041002 Google Scholar
[50]	Balandin A A, Ghosh S, Bao W, Calizo I, Teweldebrhan D, Miao F, Lau C N 2008 Nano Lett. 8 902 Google Scholar
[51]	Lindsay L, Broido D A, Mingo N 2010 Phys. Rev. B 82 115427 Google Scholar
[52]	Lindsay L, Li W, Carrete J, Mingo N, Broido D A, Reinecke T L 2014 Phys. Rev. B 89 155426 Google Scholar
[53]	Nika D L, Ghosh S, Pokatilov E P, Balandin A A 2009 Appl. Phys. Lett. 94 203103 Google Scholar
[54]	Bonini N, Garg J, Marzari N 2012 Nano Lett. 12 2673 Google Scholar
[55]	Feng T, Ruan X, Ye Z, Cao B 2015 Phys. Rev. B 91 224301 Google Scholar
[56]	Feng T, Ruan X 2018 Phys. Rev. B 97 045202 Google Scholar
[57]	Xu X, Pereira L F C, Wang Y, Wu J, Zhang K, Zhao X, Bae S, Tinh Bui C, Xie R, Thong J T L, Hong B H, Loh K P, Donadio D, Li B, Özyilmaz B 2014 Nat. Commun. 5 3689 Google Scholar
[58]	Li W, Carrete J, Mingo N 2013 Appl. Phys. Lett. 103 253103 Google Scholar
[59]	Zhu L, Zhang G, Li B 2014 Phys. Rev. B 90 214302 Google Scholar
[60]	Liu S, Xu X F, Xie R G, Zhang G, Li B W 2012 Eur. Phys. J. B 85 337 Google Scholar
[61]	Park M, Lee S C, Kim Y S 2013 J. Appl. Phys. 114 053506 Google Scholar
[62]	Barbarino G, Melis C, Colombo L 2015 Phys. Rev. B 91 035416 Google Scholar
[63]	Li Q Y, Takahashi K, Zhang X 2017 Phys. Rev. Lett. 119 179601 Google Scholar
[64]	Barbalinardo G, Chen Z, Dong H, Fan Z, Donadio D 2021 Phys. Rev. Lett. 127 025902 Google Scholar
[65]	Lu Z, Shi J, Ruan X 2019 J. Appl. Phys. 125 085107 Google Scholar
[66]	Yang N, Hu S, Ma D, Lu T, Li B 2015 Sci. Rep. 5 14878 Google Scholar
[67]	Guo Y, Wang M 2017 Phys. Rev. B 96 134312 Google Scholar
[68]	Zhang C, Guo Z, Chen S 2019 Int. J. Heat Mass Transf. 130 1366 Google Scholar
[69]	Yang J, Yang Y, Waltermire S W, Wu X, Zhang H, Gutu T, Jiang Y, Chen Y, Zinn A A, Prasher R, Xu T T, Li D 2012 Nat. Nanotechnol. 7 91 Google Scholar
[70]	Hopkins P E 2013 ISRN Mech. Eng. 2013 1 Google Scholar
[71]	Xiang R, Inoue T, Zheng Y, Kumamoto A, Qian Y, Sato Y, Liu M, Tang D, Gokhale D, Guo J, Hisama K, Yotsumoto S, Ogamoto T, Arai H, Kobayashi Y, Zhang H, Hou B, Anisimov A, Maruyama M, Miyata Y, Okada S, Chiashi S, Li Y, Kong J, Kauppinen E I, Ikuhara Y, Suenaga K, Maruyama S 2020 Science 367 537 Google Scholar
[72]	Zhang H, Xiong S, Wang H, Volz S, Ni Y 2019 EPL Europhys. Lett. 125 46001 Google Scholar
[73]	Tian Z, Esfarjani K, Chen G 2012 Phys. Rev. B 86 235304 Google Scholar
[74]	Yang Y, Chen H, Wang H, Li N, Zhang L 2018 Phys. Rev. E 98 042131 Google Scholar
[75]	Ju S, Shiga T, Feng L, Hou Z, Tsuda K, Shiomi J 2017 Phys. Rev. X 7 021024 Google Scholar
[76]	Feng W, Yu X, Wang Y, Ma D, Sun Z, Deng C, Yang N 2019 Phys. Chem. Chem. Phys. 21 25072 Google Scholar
[77]	Xiong Y, Yu X, Huang Y, Yang J, Li L, Yang N, Xu D 2019 Mater. Today Phys. 11 100139 Google Scholar
[78]	Ni Z, Wang Y, Yu T, You Y, Shen Z 2008 Phys. Rev. B 77 235403 Google Scholar
[79]	Feng J, Qi L, Huang J Y, Li J 2009 Phys. Rev. B 80 165407 Google Scholar
[80]	Kim K, Lee Z, Malone B D, Chan K T, Alemán B, Regan W, Gannett W, Crommie M F, Cohen M L, Zettl A 2011 Phys. Rev. B 83 245433 Google Scholar
[81]	Prada E, San-Jose P, Brey L 2010 Phys. Rev. Lett. 105 106802 Google Scholar
[82]	Rainis D, Taddei F, Polini M, León G, Guinea F, Fal’ko V I 2011 Phys. Rev. B 83 165403 Google Scholar
[83]	Yang N, Ni X, Jiang J W, Li B 2012 Appl. Phys. Lett. 100 093107 Google Scholar
[84]	Zeng Y J, Feng Y X, Tang L M, Chen K Q 2021 Appl. Phys. Lett. 118 183103 Google Scholar
[85]	Wu D, Huang L, Jia P Z, Cao X H, Fan Z Q, Zhou W X, Chen K Q 2021 Appl. Phys. Lett. 119 063503 Google Scholar
[86]	Deng C, Yu X, Huang X, Yang N 2017 J. Heat Transf. 139 054504 Google Scholar
[87]	Song H, Liu J, Liu B, Wu J, Cheng H M, Kang F 2018 Joule 2 442 Google Scholar
[88]	Zhu X L, Yang H, Zhou W X, Wang B, Xu N, Xie G 2020 ACS Appl. Mater. Interfaces 12 36102 Google Scholar
[89]	Xie G, Ju Z, Zhou K, Wei X, Guo Z, Cai Y, Zhang G 2018 npj Comput. Mater. 4 21 Google Scholar
[90]	Xu K, Deng S, Liang T, Cao X, Han M, Zeng X, Zhang Z, Yang N, Wu J 2022 Nanoscale 14 3078 Google Scholar

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纳米尺度热物理中的声子弱耦合问题