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本文通过抽运-探测技术, 利用飞秒激光脉冲激发并探测了Fe/Si薄膜中的高频相干声学声子. 通过经典的阻尼谐振函数, 对声学声子的动力学行为进行了拟合. 实验及拟合结果表明, 该声学声子的共振频率约为0.25 THz, 其退相时间约为12 ps, 且都与激发光的波长和能量密度无关. 声学声子的振幅随着激发光能量密度的增加而线性地增强. 临界参数12e-ph/T约为0.6, 表明相干声学声子的驱动力主要来源于电子热应力的贡献. 最后, 结合薄膜的厚度和质量密度, 可以得到室温下垂直于该Fe/Si薄膜表面(out of plane) 的弹性常数C约为283 GPa.High frequency coherent acoustic-phonons are excited in Fe/Si film by using femtosecond pump-probe technique. The dynamics of coherent acoustic-phonons can be fitted well to a classical damped harmonic function. The frequency and the dephasing time of the observed acoustic-phonons are 0.25 THz and 12 ps, respectively, which are independent of pumping photo-energy and fluence. Moreover, the amplitude of the coherent acoustic-phonons is linearly proportional to the fluence. The critical parameter (12e-ph/T) is calculated to be about 0.6, which indicates that the electron pressure might play a significant role in driving coherent acoustic phonons. The thickness and the mass density of the film are required to determine the out-of-plane elastic constant C~283 GPa of the Fe/Si film.
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Keywords:
- coherent acoustic phonon /
- femtosecond pump-probe technique /
- Fe/Si film /
- elastic constants
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[3] Wright O B 1994 Phys. Rev. B 49 9985
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[7] Yuan D Q, Zhou M, Yuan R, Dai Q X 2006 Laser & Optoelectronics Progress 43 24 (in Chinese) [袁冬青, 周明, 袁润, 戴起勋 2006 激光与光电子进展 43 24]
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[10] Ogi H, Fujii M, Nakamura N, Shagawa T, Hirao M 2007 Appl. Phys. Lett. 90 191906
[11] Nakamura N, Uranishi A, Wakita M, Ogi H, Hirao M, Nishiyama M 2011 Appl. Phys. Lett. 98 101911
[12] Yamamoto A, Mishina T, Masumoto Y, Nakayama M 1994 Phys. Rev. Lett. 73 740
[13] Park H, Wang X, Nie S, Clinite R, Cao J 2005 Phys. Rev. B 72 100301
[14] Jin Z M, Ma H, Wang L H, Ma G H, Guo F Y, Chen J Z 2010 Appl. Phys. Lett. 96 201108
[15] Jin Z M, Guo F Y, Ma H, Wang L H, Ma G H, Chen J Z 2011Acta Opt. Sin. 60 087803 (in Chinese) [金钻明, 郭飞云, 马红, 王立华, 马国宏, 陈建中 2011 60 087803]
[16] Hase M, Ishioka K, Demsar J, Ushida K, Kitajima M 2005 Phys. Rev. B 71 184301
[17] Nakamura N, Ogi H, Hirao M 2008 Phys. Rev. B 77 245416
[18] Ma D Y, Shen H 2004 Acoustic Manual (Beijing: Science Press) p168---173 (in Chinese) [马大猷, 沈(山豪) 2004 声学手册 (北京: 科学出版社) 第168---173页]
[19] Zeiger H J, Vidal J, Cheng T K, Ippen E P, Dresselhaus G, Dresselhaus M S 1992 Phys. Rev. B 45 768
[20] Kuznetsov A V, Stanton C J 1994 Phys. Rev. Lett. 73 3243
[21] Jin Z M, Ma H, Li D, Wang L H, Ma G H, Chen J Z 2011 Appl. Phys. B 104 59
[22] Nakamura N, Uranishi A, Shagawa T, Ogi H, Hirao M, Nishiyama M 2008 JSME Int J. Ser. A 2 1420
[23] Barron T H K, Collins J G, White G K 1980 Adv. Phys. 29 609
[24] Tas G, Maris H J 1994 Phys. Rev. B 49 15046
[25] Lindenberg A M, Kang I, Johnson S L, Missalla T, Heimann P A, Chang Z, Larsson J, Bucksbaum P H, Kapteyn H C, Padmore H A, Lee R W, Wark J S, Falcone R W 2000 Phys. Rev. Lett. 84 111
[26] Manghnani M H, Tkachev S N, Zinin P V, Glorieoux C, Karvankova P, Veprek S 2005 J. Appl. Phys. 97 054308
[27] Tanei H, Nakamura N, Ogi H, Hirao M, Ikeda R 2002 Phys. Rev. Lett. 100 016804
[28] Badawi K F, Villain P, Goudeau P, Renault P O 2002 Appl. Phys. lett. 80 4705
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[1] Huang K, Han R Q 1988 Solid Physics (Beijing: Higher Education Press) p561 (in Chinese) [黄昆, 韩汝琦 1988 固体物理学 (北京: 高等教育出版社) 第561页]
[2] Cho G C, Kütt W, Kurz H 1990 Phys. Rev. Lett. 65 764
[3] Wright O B 1994 Phys. Rev. B 49 9985
[4] Cheng L T, Nelson K A 1988 Phys. Rev.B 37 3603
[5] Nelson K A, Fayer M D 1980 J. Chem. Phys. 72 5202
[6] Perner M, Gresillon S, März J, Plessen G V, Feldmann J, Porstendorfer J, Berg K J, Berg G 2000 Phys. Rev. Lett. 85 792
[7] Yuan D Q, Zhou M, Yuan R, Dai Q X 2006 Laser & Optoelectronics Progress 43 24 (in Chinese) [袁冬青, 周明, 袁润, 戴起勋 2006 激光与光电子进展 43 24]
[8] Thomsen C, Strait J, Vardeny Z, Maris H J, Tauc J, Hauser J J 1984 Phys. Rev. Lett. 53 989
[9] Thomsen C, Grahn H T, Maris H J, Tauc J 1986 Phys. Rev. B 34 4129
[10] Ogi H, Fujii M, Nakamura N, Shagawa T, Hirao M 2007 Appl. Phys. Lett. 90 191906
[11] Nakamura N, Uranishi A, Wakita M, Ogi H, Hirao M, Nishiyama M 2011 Appl. Phys. Lett. 98 101911
[12] Yamamoto A, Mishina T, Masumoto Y, Nakayama M 1994 Phys. Rev. Lett. 73 740
[13] Park H, Wang X, Nie S, Clinite R, Cao J 2005 Phys. Rev. B 72 100301
[14] Jin Z M, Ma H, Wang L H, Ma G H, Guo F Y, Chen J Z 2010 Appl. Phys. Lett. 96 201108
[15] Jin Z M, Guo F Y, Ma H, Wang L H, Ma G H, Chen J Z 2011Acta Opt. Sin. 60 087803 (in Chinese) [金钻明, 郭飞云, 马红, 王立华, 马国宏, 陈建中 2011 60 087803]
[16] Hase M, Ishioka K, Demsar J, Ushida K, Kitajima M 2005 Phys. Rev. B 71 184301
[17] Nakamura N, Ogi H, Hirao M 2008 Phys. Rev. B 77 245416
[18] Ma D Y, Shen H 2004 Acoustic Manual (Beijing: Science Press) p168---173 (in Chinese) [马大猷, 沈(山豪) 2004 声学手册 (北京: 科学出版社) 第168---173页]
[19] Zeiger H J, Vidal J, Cheng T K, Ippen E P, Dresselhaus G, Dresselhaus M S 1992 Phys. Rev. B 45 768
[20] Kuznetsov A V, Stanton C J 1994 Phys. Rev. Lett. 73 3243
[21] Jin Z M, Ma H, Li D, Wang L H, Ma G H, Chen J Z 2011 Appl. Phys. B 104 59
[22] Nakamura N, Uranishi A, Shagawa T, Ogi H, Hirao M, Nishiyama M 2008 JSME Int J. Ser. A 2 1420
[23] Barron T H K, Collins J G, White G K 1980 Adv. Phys. 29 609
[24] Tas G, Maris H J 1994 Phys. Rev. B 49 15046
[25] Lindenberg A M, Kang I, Johnson S L, Missalla T, Heimann P A, Chang Z, Larsson J, Bucksbaum P H, Kapteyn H C, Padmore H A, Lee R W, Wark J S, Falcone R W 2000 Phys. Rev. Lett. 84 111
[26] Manghnani M H, Tkachev S N, Zinin P V, Glorieoux C, Karvankova P, Veprek S 2005 J. Appl. Phys. 97 054308
[27] Tanei H, Nakamura N, Ogi H, Hirao M, Ikeda R 2002 Phys. Rev. Lett. 100 016804
[28] Badawi K F, Villain P, Goudeau P, Renault P O 2002 Appl. Phys. lett. 80 4705
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