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研究了两端具有铁磁接触的对称抛物势阱磁性隧道结(F/SPW/F)中自旋相关的隧穿概率和隧穿磁电阻,讨论了量子尺寸效应和Rashba 自旋轨道耦合作用对自旋极化输运特性的影响.研究结果表明:隧穿概率和隧穿磁电阻随抛物势阱宽度的增加发生周期性的振荡.抛物势阱深度的增加减小了隧穿概率和隧穿磁电阻的振荡频率.Rashba 自旋轨道耦合强度的增加加大了隧穿概率和隧穿磁电阻的振荡频率.隧穿概率和隧穿磁电阻的振幅和峰谷比强烈依赖于两铁磁电极中磁化方向的夹角.
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关键词:
- 磁性隧道结 /
- Rashba 自旋轨道耦合 /
- 隧穿概率 /
- 隧穿磁电阻
We investigated the spin-dependent transmission coefficient and tunneling magnetoresistance in symmetric parabolic-well with two ferromagnetic contacts (F/SPW/F). The quantum size effect and Rashba spin-orbit interaction are discussed simultaneously. The results indicate that the transmission coefficient and tunneling magnetoresistance are periodic function of the parabolic-well width. The oscillation frequencies of the transmission coefficient and tunneling magnetoresistance decrease with the increasing of the parabolic-well depth. The oscillation frequencies of the transmission coefficient and tunneling magnetoresistance increase with the increasing of the Rashba spin-orbit coupling strength. The amplitude and peak-to-valley ratio of the transmission coefficient and tunneling magnetoresistance are strongly dependent on the difference in orientations of the two magnetizations in the left and right ferromagnets.-
Keywords:
- magnetic tunneling junction /
- Rashba spin-orbit coupling /
- transmission coefficient /
- tunneling magnetoresistance
[1] Datta S, Das B 1990 Appl. Phys. Lett. 56 665
[2] Du J, Zhang P, Liu J H, Li J L, Li Y X 2008 Acta Phys. Sin. 57 7221 (in Chinese) [杜 坚、 张 鹏、 刘继红、 李金亮、 李玉现 2008 物理学报 57 7221]
[3] Du J, Li C G, Qin F 2009 Acta Phys. Sin. 58 3448 (in Chinese) [杜 坚、 李春光、 秦 芳 2009 物理学报 58 3448]
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[5] Du J, Wang S X, Yuan A G 2010 Acta Phys. Sin. 59 2760 (in Chinese) [杜 坚、 王素新、 袁爱国 2010 物理学报 59 2760]
[6] Du J, Wang S X, Yuan A G 2010 Acta Phys. Sin. 59 2767 (in Chinese) [杜 坚、 王素新、 袁爱国 2010 物理学报 59 2767]
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[9] Mireles F, Kirczenow G 2002 Europhys Lett. 59 107
[10] Schpers Th, Nitta J, Heersche H B, Takayanagi H 2001 Phys. Rev. B 64 125314
[11] Matsuyama T, Hu C M, Grundler D, Meier G, Merkt U 2002 Phys. Rev. B 65 155322
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[13] Julliere M 1975 Phys. Lett. A 54 225
[14] Zhang X D, Li B Z, Sun G, Pu F C 1997 Phys. Rev. B 56 5484
[15] Zhang X D, Li B Z, Zhang W S, Pu F C 1998 Phys. Rev. B 57 1090
[16] Xie Z W, Li B Z 2002 Acta Phys. Sin. 51 399 (in Chinese) [谢征微、 李伯藏 2002 物理学报 51 399]
[17] Jin L, Zhu L, Li L, Xie Z W 2009 Acta Phys. Sin. 58 8577 (in Chinese) [金 莲、 朱 林、 李 玲、 谢征微 2009 物理学报 58 8577]
[18] Miller R C, Gossard A C, Kleinman D A, Munteanu O 1984 Phys. Rev. B 29 3740
[19] Shayegan M, Sajoto T, Santos M, Silvestre C 1988 Appl. Phys. Lett. 53 791
[20] Yuen W P 1993 Phys. Rev. B 48 17316
[21] Chiba D, Akiba N, Matsukura F, Ohno Y, Ohno H 2000 Appl. Phys. Lett. 77 1873
[22] Johnson M 1998 Phys. Rev. B 58 9635 Johnson M, Silsbee R H 1988 Phys. Rev. B 37 5326
[23] Hu C M, Matsuyama T 2001 Phys. Rev. Lett. 87 066803
[24] Herling G H, Rustgi M L 1992 J. Appl. Phys. 71 796
[25] Qi X H, Kong X J, Liu J J 1998 Phys. Rev. B 58 10578
[26] Wu H C, Guo Y, Chen X Y,Gu B L 2003 J. Appl. Phys. 93 5316
[27] Li Y X, GuoY, Li B Z 2005 Phys. Rev. B 71 012406
[28] Liu D, Kong X J 2008 J. Appl. Phys. 104 023707
[29] Liu D, Kong X J 2009 J. Appl. Phys. 105 043703
[30] Büttiker M 1993 J. Phys.: Condens Matter 5 9361
[31] Christen T, Büttiker M 1996 Phys. Rev. Lett. 77 143
[32] Zenger M, Moser J, Wegscheider W, Weiss D, Dietl T 2004 J. Appl. Phys. 96 2400
[33] Liu D, Zhang H M 2008 Mod. Phys. Lett. B 22 2667
[34] Shinobu Ohya, Pham Nam Hai, Masaaki Tanaka 2005 Appl. Phys. Lett. 87 012105
[35] Pham Nam Hai, Masafumi Yokoyama, Shinobu Ohya, Masaaki Tanaka 2006 Appl. Phys. Lett. 89 242106
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[1] Datta S, Das B 1990 Appl. Phys. Lett. 56 665
[2] Du J, Zhang P, Liu J H, Li J L, Li Y X 2008 Acta Phys. Sin. 57 7221 (in Chinese) [杜 坚、 张 鹏、 刘继红、 李金亮、 李玉现 2008 物理学报 57 7221]
[3] Du J, Li C G, Qin F 2009 Acta Phys. Sin. 58 3448 (in Chinese) [杜 坚、 李春光、 秦 芳 2009 物理学报 58 3448]
[4] Du J, Wang S X, Yang S M 2009 Acta Phys. Sin. 58 7926 (in Chinese) [杜 坚、 王素新、 杨淑敏 2009 物理学报 58 7926]
[5] Du J, Wang S X, Yuan A G 2010 Acta Phys. Sin. 59 2760 (in Chinese) [杜 坚、 王素新、 袁爱国 2010 物理学报 59 2760]
[6] Du J, Wang S X, Yuan A G 2010 Acta Phys. Sin. 59 2767 (in Chinese) [杜 坚、 王素新、 袁爱国 2010 物理学报 59 2767]
[7] Moroz A V, Barnes C H W 1999 Phys. Rev. B 60 14272 Moroz A V, Samokhin K V, Barnes C H W 2000 Phys. Rev. Lett. 84 4164
[8] Mireles F, Kirczenow G 2002 Phys. Rev. B 66 214415 Mireles F, Kirczenow G 2001 Phys. Rev. B 64 024426
[9] Mireles F, Kirczenow G 2002 Europhys Lett. 59 107
[10] Schpers Th, Nitta J, Heersche H B, Takayanagi H 2001 Phys. Rev. B 64 125314
[11] Matsuyama T, Hu C M, Grundler D, Meier G, Merkt U 2002 Phys. Rev. B 65 155322
[12] Moser J, Zenger M, Gerl C, Schuh D, Meier R, Chen P, Bayreuther G, Wegscheider W, Weiss D, Lai C H, Huang R T, Kosuth M, Ebert H 2006 Appl. Phys. Lett. 89 162106
[13] Julliere M 1975 Phys. Lett. A 54 225
[14] Zhang X D, Li B Z, Sun G, Pu F C 1997 Phys. Rev. B 56 5484
[15] Zhang X D, Li B Z, Zhang W S, Pu F C 1998 Phys. Rev. B 57 1090
[16] Xie Z W, Li B Z 2002 Acta Phys. Sin. 51 399 (in Chinese) [谢征微、 李伯藏 2002 物理学报 51 399]
[17] Jin L, Zhu L, Li L, Xie Z W 2009 Acta Phys. Sin. 58 8577 (in Chinese) [金 莲、 朱 林、 李 玲、 谢征微 2009 物理学报 58 8577]
[18] Miller R C, Gossard A C, Kleinman D A, Munteanu O 1984 Phys. Rev. B 29 3740
[19] Shayegan M, Sajoto T, Santos M, Silvestre C 1988 Appl. Phys. Lett. 53 791
[20] Yuen W P 1993 Phys. Rev. B 48 17316
[21] Chiba D, Akiba N, Matsukura F, Ohno Y, Ohno H 2000 Appl. Phys. Lett. 77 1873
[22] Johnson M 1998 Phys. Rev. B 58 9635 Johnson M, Silsbee R H 1988 Phys. Rev. B 37 5326
[23] Hu C M, Matsuyama T 2001 Phys. Rev. Lett. 87 066803
[24] Herling G H, Rustgi M L 1992 J. Appl. Phys. 71 796
[25] Qi X H, Kong X J, Liu J J 1998 Phys. Rev. B 58 10578
[26] Wu H C, Guo Y, Chen X Y,Gu B L 2003 J. Appl. Phys. 93 5316
[27] Li Y X, GuoY, Li B Z 2005 Phys. Rev. B 71 012406
[28] Liu D, Kong X J 2008 J. Appl. Phys. 104 023707
[29] Liu D, Kong X J 2009 J. Appl. Phys. 105 043703
[30] Büttiker M 1993 J. Phys.: Condens Matter 5 9361
[31] Christen T, Büttiker M 1996 Phys. Rev. Lett. 77 143
[32] Zenger M, Moser J, Wegscheider W, Weiss D, Dietl T 2004 J. Appl. Phys. 96 2400
[33] Liu D, Zhang H M 2008 Mod. Phys. Lett. B 22 2667
[34] Shinobu Ohya, Pham Nam Hai, Masaaki Tanaka 2005 Appl. Phys. Lett. 87 012105
[35] Pham Nam Hai, Masafumi Yokoyama, Shinobu Ohya, Masaaki Tanaka 2006 Appl. Phys. Lett. 89 242106
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