Ballistic phonon transport and thermal conductance in multi-channel quantum structure at low temperatures

Ye Fu-Qiu; Li Ke-Min; Peng Xiao-Fang

doi:10.7498/aps.60.036806

Abstract

By using the elastic approximation model and scattering matrix method, we investigated the acoustic phonons transport and thermal conductance in a H-branch four-channel nanostructure. The calculated results show that, for the incident acoustic phonons of low frequency, as long as the transverse width of each channel is equal, the transmission coefficient of mode 0 in each channel almost equals 0.25 and receives no influence from the changes of the other structure parameters. But for the incident acoustic phonons of high frequency, the transmission coefficient of mode 0 in each channel is very sensitive to the structure parameters and there is bigger difference corresponding to the transmission coefficients of different channels. When the temperature is very low, the thermal conductance in each channel is about 1 4 π2k2BT/(3h). With the increase of temperature, the thermal conductance of each channel changes to different degrees. By changing the length of scattering region or the transverse width of each channel, we can control the separating degree of modes and the thermal conductance of each channel efficiently and realize acoustic phonon selective transport and thermal conduction.

Keywords:

Authors and contacts

1.
College of Physics and Microelctronics Science, Hunan University, Changsha 410082, China

References

[1]	Wees B J, Houten H, Beenakker C W J, Williamson J G, Kouwenhoven L P, Marel D, Foxon C T 1988 Phys. Rev. Lett. 60 848
[2]	Wang X H, Gu B Y, Yang G Z 1998 Phys. Rev. B 58 4629
[3]	Chen K Q, Gu B Y, Lin Y K, Chuu D S 1999 Int. J. Mod. Phys. B 13 903
[4]	Chen K Q, Wang X H, Gu B Y 2000 Phys. Rev. B 61 12075
[5]	Xu H Q 2002 Phys. Rev. B 66 165305
[6]	Xia J B, Li S S 2003 Phys. Rev. B 68 75310
[7]	Zhu J L, Dai Z S, Hu X 2003 Phys. Rev. B 68 45324
[8]	Huang W Q, Chen K Q, Shuai Z G, Wang L L, Hu W Y 2004 Acta Phys . Sin. 53 2330 (in Chinese) [黄维清、陈克求、帅志刚、王玲玲、胡望宇 2004 物理学报 53 2330 ]
[9]	Chen J W, Yang L F 2005 Acta Phys . Sin. 54 2183 (in Chinese) [陈将伟, 杨林峰 2005 物理学报 54 2183 ]
[10]	Wang X J, Wang L L, Huang W Q, Tang L M, Chen K Q 2006 Acta Phys . Sin. 55 3649 (in Chinese) [王新军、王玲玲、黄维清、唐黎明、陈克求2006 物理学报 55 3649 ]
[11]	Zheng Y Z, Qi C H, Ding X D, Lee W Z 2006 Acta Phys . Sin. 55 294 (in Chinese) [郑永真、齐昌炜、丁玄同、郦文忠 2006 物理学报 55 294 ]
[12]	Xia C J, Fang C F, Hu G C, Li D M, Liu D S, Xie S J 2007 Acta Phys . Sin. 56 4884 (in Chinese) [夏蔡娟、房常峰、胡贵超、李冬梅、刘德胜、解士杰 2007 物理学报 56 4884 ]
[13]	Tang L M, Wnag L L, Wang N, Yan M 2008 Acta Phys . Sin. 57 3203 (in Chinese) [唐黎明、王玲玲、王宁、严敏 2008 物理学报 57 3203 ]
[14]	Niu X M, Qi Y H 2008 Acta Phys . Sin. 57 6926 (in Chinese) [牛秀明、齐元华 2008 物理学报 57 6926 ]
[15]	Jin L, Zhu L, Li L, Xie Z W 2009 Acta Phys . Sin. 58 8577 (in Chinese) [金莲、朱林、李玲、谢征微 2009 物理学报 58 8577 ]
[16]	Wang L G, Zhang H Y, Wang C, Terence K S W 2010 Acta Phys . Sin. 59 536 (in Chinese) [王利光、张鸿宇、王畅、 Terence K S W 2010 物理学报 59 536 ]
[17]	An Y P, Yang C L, Wang M S, Ma X G, Wang D H 2010 Acta Phys. Sin. 59 2010 (in Chinese) [安义鹏、杨传路、王美山、马晓光、王德华2010 物理学报 59 2010 ]
[18]	Rego L G C, Kirczenow G 1998 Phys. Rev. Lett. 81 232
[19]	Rego L G C, Kirczenow G 1999 Phys. Rev. B 59 13080
[20]	Schwab K, Henriksen E A, Norlock J M, Roukes M L 2000 Nature (London) 404 974
[21]	Chiatti O, Nicholls J T, Proskuryakov Y Y, Lumpkin N, Farrer I, Ritchie D A 2006 Phys. Rev. Lett. 97 056601
[22]	Meschke M, Guichard W, Pekola J P 2006 Nature(London) 444 187
[23]	Volz S G, Chen Gang 1999 Appl. Phys. Lett. 75 2056
[24]	Wu G, Dong J 2005 Phys. Rev. B 71 115410
[25]	Bao W X, Zhu C C 2006 Acta Phys . Sin. 55 3552 (in Chinese) [保文星、朱长纯 2006 物理学报 55 3552 ]
[26]	Li S B, Wu Z M, Yuan K, Liao N M, Li W, Jiang Y D 2008 Acta Phys . Sin. 57 3126 (in Chinese) [李世彬、吴志明、袁凯、廖乃镘、李伟、蒋亚东 2008 物理学报 57 3126 ]
[27]	Xu Y, Chen X, Gu B L, Duan W 2009 Appl. Phys. Lett. 95 233116
[28]	Wang J S, Li B 2004 Phys. Rev. Lett. 92 74302
[29]	Cross M C, Lifshitz R 2001 Phys. Rev. B 64 85324
[30]	Huang W Q, Chen K Q, Shuai Z, Wang L, Hu W 2005 Phys. Lett. A 336 245
[31]	Peng X F, Chen K Q, Zou B S, Zhang Y 2007 Appl. Phys. Lett. 90 193502
[32]	Tang L M, Wang Y, Wang D, Wang L L 2007 Acta Phys . Sin. 56 437 (in Chinese) [唐黎明、王艳、王丹、王玲玲 2007 物理学报 56 437 ]
[33]	Xie F, Chen K Q, Wang Y G, Zhang Y 2008 J. Appl. Phys. 103 084501;104, 054312
[34]	Yao L J, Wang L L 2008 Acta Phys . Sin. 57 3100 (in Chinese) [姚凌江、王玲玲 2008 物理学报 57 3100 ]
[35]	Li K M, Wang L L, Huang W Q, Zou B S, Wan Q 2009 J. Appl. Phys. 105 104515
[36]	PengX F, Chen K Q 2010 Physica E doi:10.1016/j.physe.2010.02.022
[37]	Santamore D H, Cross M C 2001 Phys. Rev. Lett. 87 115502
[38]	Santamore D H, Cross M C 2001 Phys. Rev. B 63 184306
[39]	Chen K Q, Li W X, Duan W H, Shuai Z, Gu B L 2005 Phys. Rev. B 72 045422
[40]	Li W X, Chen K Q, Duan W H, Wu J, Gu B L 2004 J. Phys.: Condens. Matter 16 5049
[41]	Huang W Q, Chen K Q, Shuai Z, Wang L L, Hu W Y, Zou B S 2005 J. Appl. Phys. 98 093524
[42]	Tang L M, Wang L L, Chen K Q, Huang W Q, Zou B S 2006 Appl. Phys. Lett. 88 163505
[43]	Yang P, Sun Q F, Guo H, Hu B B 2007 Phys. Rev. B 75 235319
[44]	Li K M, Wang L L, Huang W Q, Zou B S, Wan Q 2009 Phys. Lett. A 372 5816
[45]	Zhou L P, Wang M P, Zhu J J, Peng X F, Chen K Q 2009 J. Appl. Phys. 105 114318
[46]	Sun Q, Yang P, Guo H 2002 Phys. Rev. Lett. 89 175901
[47]	Xie F, Chen K Q, Wang Y G, Zhang Z H 2008 J. Appl. Phys. 104 054312
[48]	Wang J S, Wang J, Lu J T, 2008 Eur. Phys. J. B 62 381
[49]	Cross M C, Lifshitz R 2001 Phys. Rev. B 64 85324
[50]	Graff K F 1975 Wave Motion in Elastic Solids (Clarendon, Oxford)
[51]	Li W X, Chen K Q, Duan W H, Wu J, Gu B L 2003 J. Phys. D: Appl. Phys. 36 3027
[52]	Leng M, Lent C S 1993 Phys. Rev. Lett. 71 137 Leng M, Lent C S 1994 Phys. Rev. B 50 10823
[53]	Xu H Q 1995 Phys. Rev. B 52 5803 Xu H Q 2002 Appl. Phys. Lett. 80 853
[54]	Sheng W D 1997 J. Phys.: Condens Matter 9 8369
[55]	Madelung O 1982 Semiconductors: Group Ⅳ Elements and Ⅲ—Ⅴ Compounds (Springer, Berlin)

Cited By

[1]	Wees B J, Houten H, Beenakker C W J, Williamson J G, Kouwenhoven L P, Marel D, Foxon C T 1988 Phys. Rev. Lett. 60 848
[2]	Wang X H, Gu B Y, Yang G Z 1998 Phys. Rev. B 58 4629
[3]	Chen K Q, Gu B Y, Lin Y K, Chuu D S 1999 Int. J. Mod. Phys. B 13 903
[4]	Chen K Q, Wang X H, Gu B Y 2000 Phys. Rev. B 61 12075
[5]	Xu H Q 2002 Phys. Rev. B 66 165305
[6]	Xia J B, Li S S 2003 Phys. Rev. B 68 75310
[7]	Zhu J L, Dai Z S, Hu X 2003 Phys. Rev. B 68 45324
[8]	Huang W Q, Chen K Q, Shuai Z G, Wang L L, Hu W Y 2004 Acta Phys . Sin. 53 2330 (in Chinese) [黄维清、陈克求、帅志刚、王玲玲、胡望宇 2004 物理学报 53 2330 ]
[9]	Chen J W, Yang L F 2005 Acta Phys . Sin. 54 2183 (in Chinese) [陈将伟, 杨林峰 2005 物理学报 54 2183 ]
[10]	Wang X J, Wang L L, Huang W Q, Tang L M, Chen K Q 2006 Acta Phys . Sin. 55 3649 (in Chinese) [王新军、王玲玲、黄维清、唐黎明、陈克求2006 物理学报 55 3649 ]
[11]	Zheng Y Z, Qi C H, Ding X D, Lee W Z 2006 Acta Phys . Sin. 55 294 (in Chinese) [郑永真、齐昌炜、丁玄同、郦文忠 2006 物理学报 55 294 ]
[12]	Xia C J, Fang C F, Hu G C, Li D M, Liu D S, Xie S J 2007 Acta Phys . Sin. 56 4884 (in Chinese) [夏蔡娟、房常峰、胡贵超、李冬梅、刘德胜、解士杰 2007 物理学报 56 4884 ]
[13]	Tang L M, Wnag L L, Wang N, Yan M 2008 Acta Phys . Sin. 57 3203 (in Chinese) [唐黎明、王玲玲、王宁、严敏 2008 物理学报 57 3203 ]
[14]	Niu X M, Qi Y H 2008 Acta Phys . Sin. 57 6926 (in Chinese) [牛秀明、齐元华 2008 物理学报 57 6926 ]
[15]	Jin L, Zhu L, Li L, Xie Z W 2009 Acta Phys . Sin. 58 8577 (in Chinese) [金莲、朱林、李玲、谢征微 2009 物理学报 58 8577 ]
[16]	Wang L G, Zhang H Y, Wang C, Terence K S W 2010 Acta Phys . Sin. 59 536 (in Chinese) [王利光、张鸿宇、王畅、 Terence K S W 2010 物理学报 59 536 ]
[17]	An Y P, Yang C L, Wang M S, Ma X G, Wang D H 2010 Acta Phys. Sin. 59 2010 (in Chinese) [安义鹏、杨传路、王美山、马晓光、王德华2010 物理学报 59 2010 ]
[18]	Rego L G C, Kirczenow G 1998 Phys. Rev. Lett. 81 232
[19]	Rego L G C, Kirczenow G 1999 Phys. Rev. B 59 13080
[20]	Schwab K, Henriksen E A, Norlock J M, Roukes M L 2000 Nature (London) 404 974
[21]	Chiatti O, Nicholls J T, Proskuryakov Y Y, Lumpkin N, Farrer I, Ritchie D A 2006 Phys. Rev. Lett. 97 056601
[22]	Meschke M, Guichard W, Pekola J P 2006 Nature(London) 444 187
[23]	Volz S G, Chen Gang 1999 Appl. Phys. Lett. 75 2056
[24]	Wu G, Dong J 2005 Phys. Rev. B 71 115410
[25]	Bao W X, Zhu C C 2006 Acta Phys . Sin. 55 3552 (in Chinese) [保文星、朱长纯 2006 物理学报 55 3552 ]
[26]	Li S B, Wu Z M, Yuan K, Liao N M, Li W, Jiang Y D 2008 Acta Phys . Sin. 57 3126 (in Chinese) [李世彬、吴志明、袁凯、廖乃镘、李伟、蒋亚东 2008 物理学报 57 3126 ]
[27]	Xu Y, Chen X, Gu B L, Duan W 2009 Appl. Phys. Lett. 95 233116
[28]	Wang J S, Li B 2004 Phys. Rev. Lett. 92 74302
[29]	Cross M C, Lifshitz R 2001 Phys. Rev. B 64 85324
[30]	Huang W Q, Chen K Q, Shuai Z, Wang L, Hu W 2005 Phys. Lett. A 336 245
[31]	Peng X F, Chen K Q, Zou B S, Zhang Y 2007 Appl. Phys. Lett. 90 193502
[32]	Tang L M, Wang Y, Wang D, Wang L L 2007 Acta Phys . Sin. 56 437 (in Chinese) [唐黎明、王艳、王丹、王玲玲 2007 物理学报 56 437 ]
[33]	Xie F, Chen K Q, Wang Y G, Zhang Y 2008 J. Appl. Phys. 103 084501;104, 054312
[34]	Yao L J, Wang L L 2008 Acta Phys . Sin. 57 3100 (in Chinese) [姚凌江、王玲玲 2008 物理学报 57 3100 ]
[35]	Li K M, Wang L L, Huang W Q, Zou B S, Wan Q 2009 J. Appl. Phys. 105 104515
[36]	PengX F, Chen K Q 2010 Physica E doi:10.1016/j.physe.2010.02.022
[37]	Santamore D H, Cross M C 2001 Phys. Rev. Lett. 87 115502
[38]	Santamore D H, Cross M C 2001 Phys. Rev. B 63 184306
[39]	Chen K Q, Li W X, Duan W H, Shuai Z, Gu B L 2005 Phys. Rev. B 72 045422
[40]	Li W X, Chen K Q, Duan W H, Wu J, Gu B L 2004 J. Phys.: Condens. Matter 16 5049
[41]	Huang W Q, Chen K Q, Shuai Z, Wang L L, Hu W Y, Zou B S 2005 J. Appl. Phys. 98 093524
[42]	Tang L M, Wang L L, Chen K Q, Huang W Q, Zou B S 2006 Appl. Phys. Lett. 88 163505
[43]	Yang P, Sun Q F, Guo H, Hu B B 2007 Phys. Rev. B 75 235319
[44]	Li K M, Wang L L, Huang W Q, Zou B S, Wan Q 2009 Phys. Lett. A 372 5816
[45]	Zhou L P, Wang M P, Zhu J J, Peng X F, Chen K Q 2009 J. Appl. Phys. 105 114318
[46]	Sun Q, Yang P, Guo H 2002 Phys. Rev. Lett. 89 175901
[47]	Xie F, Chen K Q, Wang Y G, Zhang Z H 2008 J. Appl. Phys. 104 054312
[48]	Wang J S, Wang J, Lu J T, 2008 Eur. Phys. J. B 62 381
[49]	Cross M C, Lifshitz R 2001 Phys. Rev. B 64 85324
[50]	Graff K F 1975 Wave Motion in Elastic Solids (Clarendon, Oxford)
[51]	Li W X, Chen K Q, Duan W H, Wu J, Gu B L 2003 J. Phys. D: Appl. Phys. 36 3027
[52]	Leng M, Lent C S 1993 Phys. Rev. Lett. 71 137 Leng M, Lent C S 1994 Phys. Rev. B 50 10823
[53]	Xu H Q 1995 Phys. Rev. B 52 5803 Xu H Q 2002 Appl. Phys. Lett. 80 853
[54]	Sheng W D 1997 J. Phys.: Condens Matter 9 8369
[55]	Madelung O 1982 Semiconductors: Group Ⅳ Elements and Ⅲ—Ⅴ Compounds (Springer, Berlin)

[1]	Liu Zi-Yi, Chu Fu-Qiang, Wei Jun-Jun, Feng Yan-Hui. Interface thermal conductance and phonon thermal transport characteristics of diamond/carbon nanotube interface. Acta Physica Sinica, 2024, 73(13): 138102. doi: 10.7498/aps.73.20240323
[2]	Wu Cheng-Wei, Ren Xue, Zhou Wu-Xing, Xie Guo-Feng. Theoretical study of anisotropy and ultra-low thermal conductance of porous graphene nanoribbons. Acta Physica Sinica, 2022, 71(2): 027803. doi: 10.7498/aps.71.20211477
[3]	. Theoretical Study on Anisotropy and Ultra-low Thermal Conductance of Porous Graphene nanoribbons. Acta Physica Sinica, 2021, (): . doi: 10.7498/aps.70.20211477
[4]	Li Yu-Ang, Wu Di, Wang Dong-Li, Hu Hao, Pan Yi. Investigation of artificial quantum structures constructed by atom manipulation. Acta Physica Sinica, 2021, 70(2): 020701. doi: 10.7498/aps.70.20201501
[5]	Zhou Xin, Gao Ren-Bin, Tan Shi-Hua, Peng Xiao-Fang, Jiang Xiang-Tao, Bao Ben-Gang. Influence of multi-cavity dislocation distribution on thermal conductance in graphene nanoribbons. Acta Physica Sinica, 2017, 66(12): 126302. doi: 10.7498/aps.66.126302
[6]	Qing Qian-Jun, Zhou Xin, Xie Fang, Chen Li-Qun, Wang Xin-Jun, Tan Shi-Hua, Peng Xiao-Fang. Characteristics of acoustic phonon transport and thermal conductance in multi-terminal graphene junctions. Acta Physica Sinica, 2016, 65(8): 086301. doi: 10.7498/aps.65.086301
[7]	Yao Hai-Feng, Xie Yue-E, Ouyang Tao, Chen Yuan-Ping. Thermal transport of graphene nanoribbons embedding linear defects. Acta Physica Sinica, 2013, 62(6): 068102. doi: 10.7498/aps.62.068102
[8]	Peng Xiao-Fang, Chen Li-Qun, Luo Yong-Feng, Liu Lin-Hong, Wang Kai-Jun. Acoustic phonon transport and thermal conductance in quantum waveguide with abrupt quantum junctions modulated with double T-shapedquantum structure. Acta Physica Sinica, 2013, 62(5): 056805. doi: 10.7498/aps.62.056805
[9]	Bao Zhi-Gang, Chen Yuan-Ping, Ouyang Tao, Yang Kai-Ke, Zhong Jian-Xin. Thermal transport in L-shaped graphene nano-junctions. Acta Physica Sinica, 2011, 60(2): 028103. doi: 10.7498/aps.60.028103
[10]	Nie Liu-Ying, Li Chun-Xian, Zhou Xiao-Ping, Cheng Fang, Wang Cheng-Zhi. Effects of controllable defects on thermal conductance in a nanowire with a quantum box. Acta Physica Sinica, 2011, 60(11): 116301. doi: 10.7498/aps.60.116301
[11]	Peng Xiao-Fang, Wang Xin-Jun, Gong Zhi-Qiang, Chen Li-Qun. Acoustic phonon transport and thermal conductance in one-dimensional quantum waveguide modulated with quantum dots. Acta Physica Sinica, 2011, 60(12): 126802. doi: 10.7498/aps.60.126802
[12]	Dong Hua-Feng, Wu Fu-Gen, Mu Zhong-Fei, Zhong Hui-Lin. Effect of basis configuration on acoustic band structure in two-dimensional complex phononic crystals. Acta Physica Sinica, 2010, 59(2): 754-758. doi: 10.7498/aps.59.754
[13]	Yao Ling-Jiang, Wang Ling-Ling. Characteristics of acoustic phonon transport and thermal conductance in quasi-one-dimensional quantum waveguides with semi-circular-arc cavity. Acta Physica Sinica, 2008, 57(5): 3100-3106. doi: 10.7498/aps.57.3100
[14]	Tang Li-Ming, Wang Yan, Wang Dan, Wang Ling-Ling. Effect of boundary conditions on phonon transmission in a dielectric quantum waveguide. Acta Physica Sinica, 2007, 56(1): 437-442. doi: 10.7498/aps.56.437
[15]	He Meng-Dong, Gong Zhi-Qiang. Acoustic-phonon transmission in multilayer heterojunctions. Acta Physica Sinica, 2007, 56(3): 1415-1421. doi: 10.7498/aps.56.1415
[16]	Xiong Zhi_Ming, Zhang Qing_Chuan, Chen Da_Peng, Wu Xiao_Ping, Guo Zhe_Ying, Dong Feng_Liang, Miao Zheng_Yu, Li Chao_Bo. Optical-readout micro-cantilever array IR imaging system and performance analysis. Acta Physica Sinica, 2007, 56(5): 2529-2536. doi: 10.7498/aps.56.2529
[17]	Zhao Jun, Shen Cai-Xia, Zhou Fang, Xiong Ji-Wu. Influence of magnetic field on thermal conductivity of La2－xSrxCuO4 single crystals. Acta Physica Sinica, 2005, 54(8): 3845-3850. doi: 10.7498/aps.54.3845
[18]	Cai Wei-Ying, Li Zhi-Feng, Lu Wei, Li Shou-Rong, Liang Ping-Zhi. Heat conduction investigations of the Si bridge in infrared emitter using micro- Raman scattering. Acta Physica Sinica, 2003, 52(11): 2923-2928. doi: 10.7498/aps.52.2923
[19]	LI YU-ZHANG, XU ZHONG-YING, GE WEI-KUN, XU JI-SONG, ZHENG BAO-ZHEN, ZHUANG WEI-HUA. NONEQUILIBRIUM PHONON EFFECTS IN HOT CARRIER RELAXATION PROCESSES OF MULTIPLE QUANTUM WELL STRUCTURES. Acta Physica Sinica, 1989, 38(9): 1540-1544. doi: 10.7498/aps.38.1540
[20]	LEI XIAO-LIN, TING CHIN-SEN. EFFECT OF COMBINED ACOUSTIC AND OPTICAL PHONON SCATTERING IN NONLINEAR ELECTRONIC TRANSPORT. Acta Physica Sinica, 1985, 34(8): 983-991. doi: 10.7498/aps.34.983

Catalog

Vol. 60, Issue 3 - 2011-02-05

Metrics

Abstract views: 8137
PDF Downloads: 676
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板