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利用二能级体系速率方程,推导了半导体中探测光探测到的法拉第旋转光谱的理论模型,发现电子-空穴对的复合对法拉第旋转信号随时间的衰减有重要影响,并利用该模型对GaAs量子阱中实验测得的法拉第旋转光谱进行拟合,得到GaAs量子阱材料中的电子自旋弛豫时间为73.5 ps,而直接利用单指数进行拟合得到的电子自旋弛豫时间仅为51.3 ps. 因此,直接利用单指数对法拉第旋转光谱进行拟合得到电子自旋弛豫时间的传统做法是不准确的.
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关键词:
- 自旋弛豫时间 /
- 时间分辨法拉第旋转光谱 /
- GaAs量子阱
Based on the rate equations of a two-level system, time-resolved Faraday rotation spectroscopy model was developed. It was found that the carrier recombination has strong effect on the decay of Faraday rotation signal. The model was also used to fit the Faraday rotation spectra measured in GaAs quantum wells. The electron spin relaxation time was obtained as 73.5 ps. However, the spin relaxation time was obtained only as 51.3 ps with the single exponent to fit the Faraday rotation spectra. Thus, the conventional method with the single exponent to fit the Faraday rotation spectra is inaccurate.[1] Zutic I, Fabian J, Das Sarma S 2004 Rev. Mod. Phys. 76 323
[2] Datta S, Das B 1990 Appl. Phys. Lett. 56 665
[3] Xie S J, Qin W, Zhang Y B 2010 Chin. Phys. B 19 3564
[4] Teng L H, Chen K, Wen J H, Lin W Z, Lai T S 2009 J. Phys. D:Appl. Phys. 42 135111
[5] Teng L H, Yu H L, Zuo F Y, Wen J H, Lin W Z, Lai T S 2008 Acta Phys. Sin. 57 6598 (in Chinese) [滕利华、余华梁、左方圆、文锦辉、林位株、赖天树 2008 57 6598]
[6] Tamborenea P I, Kuroda M A, Bottesi F L 2003 Phys. Rev. B 68 245205
[7] Weng M Q, Wu M W 2003 Phys. Rev. B 68 075312
[8] Stich D, Zhou J, Korn T, Schulz R, Schuh D, Wegscheider W, Wu M W, Schüller C 2007 Phys. Rev. Lett. 98 176401
[9] Kikkawa J M, Awschalom D D 1998 Phys. Rev. Lett. 80 4313
[10] Robb J L, Chen Y, Timmons A, Hall K C, Shchekin O B, Deppe D G 2007 Appl. Phys. Lett. 90 153118
[11] Beschoten B, Halperin E J, Young D K, Poggio M, Grimaldi J E, Keller S, DenBarrs S P, Mishra U K, Hu E L, Awschalom D D 2001 Phys. Rev. B 63 121202(R)
[12] Sun Z, Xu Z Y, Yuan X Z, Ji Y, Sun B Q, Ni H Q 2007 Acta Phys. Sin. 56 2958 (in Chinese) [孙 征、徐仲英、阮学忠、姬 扬、孙宝权、倪海桥 2007 56 2958]
[13] Seymour R J, Alfano R R 1980 Appl. Phys. Lett. 37 231
[14] Gerlovin I Y, Dolgikh Yu K, Eliseev S A, Ovsyankin V V, Efimov Yu P, Ignatiev I V, Petrov V V, Verbin S. Yu, Masumoto Y 2004 Phys. Rev. B 69 035329
[15] Chen X X, Teng L H, Liu X D, Huang Q W, Wen J H, Lin W Z, Lai T S 2008 Acta Phys. Sin. 57 3853 (in Chinese) [陈小雪、滕利华、黄绮雯、文锦辉、林位株、赖天树 2008 57 3853]
[16] Wu Y, Jiao Z X, Lei L, Wen J H, Lai T S, Lin W Z 2006 Acta Phys. Sin. 55 2961 (in Chinese) [吴 羽、焦中兴、雷 亮、文锦辉、赖天树、林位株 2006 55 2961]
[17] Tackeuchi A, Muto S, Inata T, Fujii T 1990 Appls. Phys. Lett. 56 2213
[18] Tackeuchi A, Wada O, Nishikawa Y 1997 Appls. Phys. Lett. 70 1131
[19] Sun F W, Deng L, Shou Q, Liu L N, Wen J H, Lai T S, Lin W Z 2004 Acta Phys. Sin. 53 3196 (in Chinese) [孙丰伟、邓 莉、寿 倩、刘鲁宁、文锦辉、赖天树、林位株 2004 53 3196]
[20] Baumberg J J, Crooker S A, Awschalom D D 1994 Phys. Rev. B 50 7689
[21] Liu X D, Wang W Z, Gao R X, Zhao J H, Wen J H, Lin W Z, Lai T S 2008 Acta Phys. Sin. 57 3857 (in Chinese) [刘晓东、王玮竹 、高瑞鑫、赵建华、文锦辉、林位株、赖天树 2008 57 3857]
[22] Proyr C E, Flatté M E 2003 Phys. Rev. Lett. 91 257901
[23] Teng L H, Zhang P, Lai T S, Wu M W 2008 Europhysics Letters 84 27006
[24] Lai T S, Liu L N, Shou Q, Lei L, Lin W Z 2004 Appl. Phys. Lett. 85 4040
[25] Lai T S, Liu X D, Xu H H, Jiao Z X, Lei L, Wen J H, Lin W Z 2005 Appl. Phys. Lett. 87 262110
[26] Yu H L, Zhang X M, Teng L H, Wen J H, Lin W Z, Lai T S 2009 Acta Phys. Sin. 58 3543 (in Chinese) [余华梁、张秀敏、滕利华、文锦辉、林位株、赖天树 2009 58 3543]
[27] Lai T S, Liu L N, Lei L, Shou Q, Li X Y, Wang J H, Lin W Z 2005 Acta Phys. Sin. 54 0967 (in Chinese) [赖天树、刘鲁宁、雷 亮、寿 倩、李熙莹、王嘉辉、林位株 2005 54 0967]
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[1] Zutic I, Fabian J, Das Sarma S 2004 Rev. Mod. Phys. 76 323
[2] Datta S, Das B 1990 Appl. Phys. Lett. 56 665
[3] Xie S J, Qin W, Zhang Y B 2010 Chin. Phys. B 19 3564
[4] Teng L H, Chen K, Wen J H, Lin W Z, Lai T S 2009 J. Phys. D:Appl. Phys. 42 135111
[5] Teng L H, Yu H L, Zuo F Y, Wen J H, Lin W Z, Lai T S 2008 Acta Phys. Sin. 57 6598 (in Chinese) [滕利华、余华梁、左方圆、文锦辉、林位株、赖天树 2008 57 6598]
[6] Tamborenea P I, Kuroda M A, Bottesi F L 2003 Phys. Rev. B 68 245205
[7] Weng M Q, Wu M W 2003 Phys. Rev. B 68 075312
[8] Stich D, Zhou J, Korn T, Schulz R, Schuh D, Wegscheider W, Wu M W, Schüller C 2007 Phys. Rev. Lett. 98 176401
[9] Kikkawa J M, Awschalom D D 1998 Phys. Rev. Lett. 80 4313
[10] Robb J L, Chen Y, Timmons A, Hall K C, Shchekin O B, Deppe D G 2007 Appl. Phys. Lett. 90 153118
[11] Beschoten B, Halperin E J, Young D K, Poggio M, Grimaldi J E, Keller S, DenBarrs S P, Mishra U K, Hu E L, Awschalom D D 2001 Phys. Rev. B 63 121202(R)
[12] Sun Z, Xu Z Y, Yuan X Z, Ji Y, Sun B Q, Ni H Q 2007 Acta Phys. Sin. 56 2958 (in Chinese) [孙 征、徐仲英、阮学忠、姬 扬、孙宝权、倪海桥 2007 56 2958]
[13] Seymour R J, Alfano R R 1980 Appl. Phys. Lett. 37 231
[14] Gerlovin I Y, Dolgikh Yu K, Eliseev S A, Ovsyankin V V, Efimov Yu P, Ignatiev I V, Petrov V V, Verbin S. Yu, Masumoto Y 2004 Phys. Rev. B 69 035329
[15] Chen X X, Teng L H, Liu X D, Huang Q W, Wen J H, Lin W Z, Lai T S 2008 Acta Phys. Sin. 57 3853 (in Chinese) [陈小雪、滕利华、黄绮雯、文锦辉、林位株、赖天树 2008 57 3853]
[16] Wu Y, Jiao Z X, Lei L, Wen J H, Lai T S, Lin W Z 2006 Acta Phys. Sin. 55 2961 (in Chinese) [吴 羽、焦中兴、雷 亮、文锦辉、赖天树、林位株 2006 55 2961]
[17] Tackeuchi A, Muto S, Inata T, Fujii T 1990 Appls. Phys. Lett. 56 2213
[18] Tackeuchi A, Wada O, Nishikawa Y 1997 Appls. Phys. Lett. 70 1131
[19] Sun F W, Deng L, Shou Q, Liu L N, Wen J H, Lai T S, Lin W Z 2004 Acta Phys. Sin. 53 3196 (in Chinese) [孙丰伟、邓 莉、寿 倩、刘鲁宁、文锦辉、赖天树、林位株 2004 53 3196]
[20] Baumberg J J, Crooker S A, Awschalom D D 1994 Phys. Rev. B 50 7689
[21] Liu X D, Wang W Z, Gao R X, Zhao J H, Wen J H, Lin W Z, Lai T S 2008 Acta Phys. Sin. 57 3857 (in Chinese) [刘晓东、王玮竹 、高瑞鑫、赵建华、文锦辉、林位株、赖天树 2008 57 3857]
[22] Proyr C E, Flatté M E 2003 Phys. Rev. Lett. 91 257901
[23] Teng L H, Zhang P, Lai T S, Wu M W 2008 Europhysics Letters 84 27006
[24] Lai T S, Liu L N, Shou Q, Lei L, Lin W Z 2004 Appl. Phys. Lett. 85 4040
[25] Lai T S, Liu X D, Xu H H, Jiao Z X, Lei L, Wen J H, Lin W Z 2005 Appl. Phys. Lett. 87 262110
[26] Yu H L, Zhang X M, Teng L H, Wen J H, Lin W Z, Lai T S 2009 Acta Phys. Sin. 58 3543 (in Chinese) [余华梁、张秀敏、滕利华、文锦辉、林位株、赖天树 2009 58 3543]
[27] Lai T S, Liu L N, Lei L, Shou Q, Li X Y, Wang J H, Lin W Z 2005 Acta Phys. Sin. 54 0967 (in Chinese) [赖天树、刘鲁宁、雷 亮、寿 倩、李熙莹、王嘉辉、林位株 2005 54 0967]
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