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By using the scattering matrix method, the transmission coefficient and thermal conductance of acoustic phonon through a quantum waveguide with abrupt quantum junctions modulated with double T-shaped quantum structure at low temperatures are studied. The results show that at very low temperatures, the double T-shaped quantum structure can enhance low-temperature thermal conductance; contrarily, at higher temperatures, the double T-shaped quantum structure can reduce low-temperature thermal conductance. However, in the whole low-temperature region, the low-temperature thermal conductance can be enhanced by adding the narrowest width c in the scattering region. Moreover, it is found that both the transmission coefficient and thermal conductance can be adjusted by changing the structural parameters of the the scattering region.
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Keywords:
- acoustic phonons transport /
- thermal conductance /
- quantum structure
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[2] Schwab K, Henriksen E A, Norlock J M, Roukes M L 2000 Nature (London) 404 974
[3] Meschke M, Guichard W, Pekola J 2006 Nature (London) 444 187
[4] Ojanen T, Heikkila T T 2007 Phys. Rev. B 76 073414
[5] Chiatti O, Nicholls J T, Proskuryakov Y, Lumpkin Y N, Farrer I, Ritchie D A 2006 Phys. Rev. Lett. 97 056601
[6] Li W X, Chen K Q, Duan W H, Wu J, Gu B L, 2004 Appl. Phys. Lett. 85 822
[7] Peng X F, Chen K Q 2010 Physica E 42 1968
[8] Ming Y, Wang Z X, Li Q, Ding Z Z 2007 Appl. Phys. Lett. 91 143508
[9] Tanaka Y, Yoshida F, Tamura S 2005 Phys. Rev. B 71 205308
[10] Peng X F, Chen K Q, Wang Q, Zhou B S 2010 Phys. Rev. B 81 195317
[11] Chen K Q, Li W X, Duan W H, Shuai Z, Gu B L 2005 Phys. Rev. B 72 045422
[12] Pekka H 2009 Microsyst Technol 15 75
[13] Cross M C, Lifshitz R 2001 Phys. Rev. B 64 85324
[14] Chang C M, Geller M R 2005 Phys. Rev. B 71 125304
[15] Tang L M, Wang L L, Chen K Q, Huang W Q, Zou B S 2006 Appl. Phys. Lett. 88 163505
[16] Peng X F, He M D, Wang X J, Chen L C, Pan C L, Luo Y F 2011 Physica E 43 1065
[17] Peng X F, Wang X J, Chen L Q, Chen K Q 2012 EPL 98 56001
[18] Santamore D H, Cross M C 2001 Phys. Rev. Lett. 87 115502
[19] Li W X, Chen K Q, Duan W H, Wu J, Gu B L 2004 J. Phys.: Condens. Matter 16 5049
[20] Yang P, Sun Q F, Guo H, Hu B B 2007 Phys. Rev. B 75 235319
[21] 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]
[22] Peng X F, Wang X J, Gong Z Q, Chen L Q 2011 Acta Phys. Sin. 60 036806 (in Chinese) [彭小芳, 王新军, 龚志强, 陈丽群 2011 物理学报 60 036806]
[23] Volz S G, Chen G 1999 Appl. Phys. Lett. 75 2056
[24] Li B W, Wang L, Casati G 2004 Phys. Rev. Lett. 93 184301
[25] Hu B B, Yang L, Zhang Y 2006 Phys. Rev. Lett. 97 124302
[26] Eckmann J P, Carlos M M 2006 Phys. Rev. Lett. 97 094301
[27] Xie F, Chen K Q, Wang Y G, Zhang Y 2008 J. Appl. Phys. 103 084501
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[1] Rego L G C, Kirczenow G 1998 Phys. Rev. Lett. 81 232
[2] Schwab K, Henriksen E A, Norlock J M, Roukes M L 2000 Nature (London) 404 974
[3] Meschke M, Guichard W, Pekola J 2006 Nature (London) 444 187
[4] Ojanen T, Heikkila T T 2007 Phys. Rev. B 76 073414
[5] Chiatti O, Nicholls J T, Proskuryakov Y, Lumpkin Y N, Farrer I, Ritchie D A 2006 Phys. Rev. Lett. 97 056601
[6] Li W X, Chen K Q, Duan W H, Wu J, Gu B L, 2004 Appl. Phys. Lett. 85 822
[7] Peng X F, Chen K Q 2010 Physica E 42 1968
[8] Ming Y, Wang Z X, Li Q, Ding Z Z 2007 Appl. Phys. Lett. 91 143508
[9] Tanaka Y, Yoshida F, Tamura S 2005 Phys. Rev. B 71 205308
[10] Peng X F, Chen K Q, Wang Q, Zhou B S 2010 Phys. Rev. B 81 195317
[11] Chen K Q, Li W X, Duan W H, Shuai Z, Gu B L 2005 Phys. Rev. B 72 045422
[12] Pekka H 2009 Microsyst Technol 15 75
[13] Cross M C, Lifshitz R 2001 Phys. Rev. B 64 85324
[14] Chang C M, Geller M R 2005 Phys. Rev. B 71 125304
[15] Tang L M, Wang L L, Chen K Q, Huang W Q, Zou B S 2006 Appl. Phys. Lett. 88 163505
[16] Peng X F, He M D, Wang X J, Chen L C, Pan C L, Luo Y F 2011 Physica E 43 1065
[17] Peng X F, Wang X J, Chen L Q, Chen K Q 2012 EPL 98 56001
[18] Santamore D H, Cross M C 2001 Phys. Rev. Lett. 87 115502
[19] Li W X, Chen K Q, Duan W H, Wu J, Gu B L 2004 J. Phys.: Condens. Matter 16 5049
[20] Yang P, Sun Q F, Guo H, Hu B B 2007 Phys. Rev. B 75 235319
[21] 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]
[22] Peng X F, Wang X J, Gong Z Q, Chen L Q 2011 Acta Phys. Sin. 60 036806 (in Chinese) [彭小芳, 王新军, 龚志强, 陈丽群 2011 物理学报 60 036806]
[23] Volz S G, Chen G 1999 Appl. Phys. Lett. 75 2056
[24] Li B W, Wang L, Casati G 2004 Phys. Rev. Lett. 93 184301
[25] Hu B B, Yang L, Zhang Y 2006 Phys. Rev. Lett. 97 124302
[26] Eckmann J P, Carlos M M 2006 Phys. Rev. Lett. 97 094301
[27] Xie F, Chen K Q, Wang Y G, Zhang Y 2008 J. Appl. Phys. 103 084501
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