拓扑绝缘体Bi2Te3的热膨胀系数研究

李平原; 陈永亮; 周大进; 陈鹏; 张勇; 邓水全; 崔雅静; 赵勇

doi:10.7498/aps.63.117301

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摘要

利用低温X射线衍射研究了Bi2Te3晶体的线热膨胀系数. 结果表明：拓扑绝缘体Bi2Te3晶体的线热膨胀系数||和表现为各向异性，并遵从不同的温度依赖关系. 反映a-a平面内的膨胀系数在较宽的温区内服从Debye关系，而反映垂直于a-a平面方向的膨胀系数||在100 K左右就开始出现与Debye模型在定性上的差别. 利用Debye模型并结合Bi2Te3晶体的面内和层间原子之间的键合特性对||和所表现出的不同温度依赖特性进行了解释.

关键词:

作者及机构信息

1.
西南交通大学, 材料先进技术教育部重点实验室, 超导与新能源研究开发中心, 成都 610031;

2.
School of Materials Science and Engineering, University of New South Wales, Sydney 2052 NSW, Australia

基金项目: 国家自然科学基金（批准号：11104224，11004162，51271155）、高等学校博士学科点专项科研基金新教师类课题（批准号：20110184120029）和四川省科技计划项目（批准号：2011JY0031，2011JY0130）资助的课题.

参考文献

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[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 物理学报 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 物理学报 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

施引文献

[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 物理学报 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 物理学报 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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拓扑绝缘体Bi2Te3的热膨胀系数研究

1. 西南交通大学, 材料先进技术教育部重点实验室, 超导与新能源研究开发中心, 成都 610031;

2. School of Materials Science and Engineering, University of New South Wales, Sydney 2052 NSW, Australia

基金项目:

国家自然科学基金（批准号：11104224，11004162，51271155）、高等学校博士学科点专项科研基金新教师类课题（批准号：20110184120029）和四川省科技计划项目（批准号：2011JY0031，2011JY0130）资助的课题.

收稿日期: 2014-01-12

修回日期: 2014-02-27

刊出日期: 2014-06-05

摘要: 利用低温X射线衍射研究了Bi2Te3晶体的线热膨胀系数. 结果表明：拓扑绝缘体Bi2Te3晶体的线热膨胀系数||和表现为各向异性，并遵从不同的温度依赖关系. 反映a-a平面内的膨胀系数在较宽的温区内服从Debye关系，而反映垂直于a-a平面方向的膨胀系数||在100 K左右就开始出现与Debye模型在定性上的差别. 利用Debye模型并结合Bi2Te3晶体的面内和层间原子之间的键合特性对||和所表现出的不同温度依赖特性进行了解释.

关键词:

Research of thermal expansion coefficient of topological insulator Bi2Te3

1.
Key Laboratory of Advanced Technologies of Materials, Ministry of Education of China, Superconductivity and New Energy R & D Center, Southwest Jiaotong University, Chengdu 610031, China;

2.
School of Materials Science and Engineering, University of New South Wales, Sydney 2052 NSW, Australia

Fund Project:

Project supported by the National Natural Science Foundation of China (Grant Nos. 11104224, 11004162, 51271155), the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20110184120029), and the Science Foundation of Sichuan Province, China (Grant Nos. 2011JY0031, 2011JY0130).

Received Date: 12 January 2014

Accepted Date: 27 February 2014

Published Online: 05 June 2014

Abstract: 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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