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Topological insulator Bi2Te3 crystals were grown and their thermal expansion was studied with X-ray diffraction at various temperatures. It was shown that the linear thermal expansion coefficients, || and , which reflect, respectively, the thermal expansion within and out-off a-a plane of the Bi2Te3 crystal, exhibit quite different temperature dependent features. The obeys the Debye law in a relatively wide temperature range, while || deviates qualitatively from the Debye law at 100 K. Possible mechanisms behind the observed phenomena were explained using the crystal structure and the bonding features between the atoms in Bi2Te3 crystal.
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Keywords:
- topological insulator /
- coefficient of thermal expansion /
- Debye model /
- Gr
[1] Hasan M Z, Kane C L 2010 Rev. Mod. Phys. 82 3045
[2] Ding Y, Shen J, Pang Y, Liu G T, Fan J, Ji Z Q, Yang C L, L L 2013 Acta Phys. Sin. 62 167401 (in Chinese)[丁玥, 沈洁, 庞远, 刘广同, 樊洁, 姬忠庆, 杨昌黎, 吕力 2013 62 167401]
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[5] Wei P, Li K, Feng X, Ou Y B, Zhang L G, Wang L L, He K, Ma X C, Xue Q K 2014 Acta Phys. Sin. 63 027303 (in Chinese)[韦庞, 李康, 冯硝, 欧云波, 张立果, 王立莉, 何珂, 马旭村, 薛其坤 2014 63 027303]
[6] Bernevig B A, Hughes T L, Zhang S C 2006 Science 314 1757
[7] Qi X L, Hughes T L, Zhang S C 2008 Phys. Rev. B 78 195424
[8] Yu R, Zhang W, Zhang H J, Dai X, Fang Z 2011 Science 329 5987
[9] Li Y Y, Wang W, Zhu G, Xue Q K 2010 Adv. Mater. 22 36
[10] Chen X, Ma X C, He K, Jia J F, Xue Q K 2011 Adv. Mater. 23 9
[11] Qi X L, Zhang S C 2010 Phys. Today 63 33
[12] Yu R, Zhang W, Zhang H Z, Zhang S C, Dai X, Fang Z 2010 Science 329 61
[13] Qi X L, Hughes T L, Zhang S C 2008 Phys. Rev. B 78 195424
[14] Chen Y L, Analytis J G, Chu J H, Liu Z K, Mo S K, Qi X L, Zhang H J, Lu D H, Dai X, Fang Z, Zhang S C, Fisher I R, Hussain Z, Shen Z X 2009 Science 325 178
[15] Qi X L, Zhang S C 2011 Rev. Mod. Phys. 83 1057
[16] Chen X, Zhou H D, Kiswandhi A, Miotkowski I, Chen Y P, Sharma P A, Lima Sharma A L, Hekmaty M A, Smirnov D, Jiang Z 2011 Appl. Phys. Lett. 99 261912
[17] Dutta P, Bhoi D, Midya A, Khan N, Mandal P, Samatham S, Ganesan V 2012 Appl. Phys. Lett. 100 251912
[18] Jenkins J O, Rayne J A, Ure R W 1972 Phys. Rev. B 5 3171
[19] Huang B L, Kaviany M 2008 Phys. Rev. B 77 125209
[20] Grneisen E 1912 Ann. Phys. 39 257
[21] Choy C L, Wong S P, Young K 1984 Phys. Rev. B 29 1741
[22] Pavlova L M, Shtern Yu I, Mironov R E 2011 High Temperature 49 369
[23] Gibbons T G 1973 Phys. Rev. B 7 1410
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[1] Hasan M Z, Kane C L 2010 Rev. Mod. Phys. 82 3045
[2] Ding Y, Shen J, Pang Y, Liu G T, Fan J, Ji Z Q, Yang C L, L L 2013 Acta Phys. Sin. 62 167401 (in Chinese)[丁玥, 沈洁, 庞远, 刘广同, 樊洁, 姬忠庆, 杨昌黎, 吕力 2013 62 167401]
[3] Li X G, Zhang G F, Wu G F, Chen H, Dimitrie C, Zhang Z Y 2013 Chin. Phys. B 22 097306
[4] Guo J H, Qiu F, Zhang Y, Deng H Y, Hu G J, Li X N, Y G L, Dai N 2013 Chin. Phys. Lett. 30 106801
[5] Wei P, Li K, Feng X, Ou Y B, Zhang L G, Wang L L, He K, Ma X C, Xue Q K 2014 Acta Phys. Sin. 63 027303 (in Chinese)[韦庞, 李康, 冯硝, 欧云波, 张立果, 王立莉, 何珂, 马旭村, 薛其坤 2014 63 027303]
[6] Bernevig B A, Hughes T L, Zhang S C 2006 Science 314 1757
[7] Qi X L, Hughes T L, Zhang S C 2008 Phys. Rev. B 78 195424
[8] Yu R, Zhang W, Zhang H J, Dai X, Fang Z 2011 Science 329 5987
[9] Li Y Y, Wang W, Zhu G, Xue Q K 2010 Adv. Mater. 22 36
[10] Chen X, Ma X C, He K, Jia J F, Xue Q K 2011 Adv. Mater. 23 9
[11] Qi X L, Zhang S C 2010 Phys. Today 63 33
[12] Yu R, Zhang W, Zhang H Z, Zhang S C, Dai X, Fang Z 2010 Science 329 61
[13] Qi X L, Hughes T L, Zhang S C 2008 Phys. Rev. B 78 195424
[14] Chen Y L, Analytis J G, Chu J H, Liu Z K, Mo S K, Qi X L, Zhang H J, Lu D H, Dai X, Fang Z, Zhang S C, Fisher I R, Hussain Z, Shen Z X 2009 Science 325 178
[15] Qi X L, Zhang S C 2011 Rev. Mod. Phys. 83 1057
[16] Chen X, Zhou H D, Kiswandhi A, Miotkowski I, Chen Y P, Sharma P A, Lima Sharma A L, Hekmaty M A, Smirnov D, Jiang Z 2011 Appl. Phys. Lett. 99 261912
[17] Dutta P, Bhoi D, Midya A, Khan N, Mandal P, Samatham S, Ganesan V 2012 Appl. Phys. Lett. 100 251912
[18] Jenkins J O, Rayne J A, Ure R W 1972 Phys. Rev. B 5 3171
[19] Huang B L, Kaviany M 2008 Phys. Rev. B 77 125209
[20] Grneisen E 1912 Ann. Phys. 39 257
[21] Choy C L, Wong S P, Young K 1984 Phys. Rev. B 29 1741
[22] Pavlova L M, Shtern Yu I, Mironov R E 2011 High Temperature 49 369
[23] Gibbons T G 1973 Phys. Rev. B 7 1410
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