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