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Based on the concept of group velocity, the relations between traversal time of spin-polarized electrons in ferromagnetic/semiconductor(insulator)/ferromagnetic heterojunction and relative magnetic moment angle in two ferromagnetic layers are studied. The results show that when the middle layer is semiconductor layer, influenced by the Rashba spin-orbit coupling, the minimum transverse times difference between the spin-up and down electrons can appear if the relative angle values in two ferromagnetic layers are nearly the π/2 and 3π/2, respectively. When the middle layer is insulator, the transverse time difference between the different spin orientations can be varied with the potential barrier heights and flip if the height exceeds a critical value.
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Keywords:
- ferromagnetic/semiconductor(insulator)/ferromagnetic heterojunction /
- Rashba spin-orbit coupling /
- traversal time /
- magnetic moment
[1] Condon E U, Morse P M 1931 Rev. Mod. Phys. 3 43
[2] Hartman T E 1962 J. Appl. Phys. 33 3427
[3] Winful H G 2003 Phys. Rev. Lett. 91 260401
[4] Winger E P 1955 Phys. Rev. 98 145
[5] Smith F T 1960 Phys. Rev. 118 349
[6] Bttiker M 1983 Phys. Rev. B 27 6178
[7] Landauer R, Martin T 1994 Rev. Mod. Phys. 66 217
[8] Sun J R, Shen B G, Xie Y W, Guo D F 2010 Chin. Phys. B 19 117306
[9] Guo Y, Shang C E, Chen X Y 2005 Phys. Rev. B 72 045356
[10] Wang B, Guo Y, Gu B L, 2002 J. Appl. Phys. 91 1318
[11] Wu H C, Guo Y, Chen X Y, Gu B L 2003 J. Appl. Phys. 93 5316
[12] Zhang Y T, Li Y C 2006 J. Appl. Phys. 99 013907
[13] 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 57 7221]
[14] Zutic I, Fabian J, Sarma D S 2004 Rev. Mod. Phys. 76 323
[15] Datta S, Das B 1990 Appl. Phys. Lett. 56 665
[16] Guo Y, Yu X W, Li Y X 2005 J. Appl. Phys. 98 053902
[17] Liu C Y, Li J, Wang Y, Chen J Y, Xu Q Y, Ni G, Sang H, Du Y W 2002 Chin. Phys. 11 66
[18] Hu C M, Matsuyama T 2001 Phys. Rev. Lett. 87 066803
[19] Rashba E I, Efros A L 2003 Phys. Rev. Lett. 56 665
[20] Slonczewski J C 1989 Phys. Rev. B 39 6995
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[1] Condon E U, Morse P M 1931 Rev. Mod. Phys. 3 43
[2] Hartman T E 1962 J. Appl. Phys. 33 3427
[3] Winful H G 2003 Phys. Rev. Lett. 91 260401
[4] Winger E P 1955 Phys. Rev. 98 145
[5] Smith F T 1960 Phys. Rev. 118 349
[6] Bttiker M 1983 Phys. Rev. B 27 6178
[7] Landauer R, Martin T 1994 Rev. Mod. Phys. 66 217
[8] Sun J R, Shen B G, Xie Y W, Guo D F 2010 Chin. Phys. B 19 117306
[9] Guo Y, Shang C E, Chen X Y 2005 Phys. Rev. B 72 045356
[10] Wang B, Guo Y, Gu B L, 2002 J. Appl. Phys. 91 1318
[11] Wu H C, Guo Y, Chen X Y, Gu B L 2003 J. Appl. Phys. 93 5316
[12] Zhang Y T, Li Y C 2006 J. Appl. Phys. 99 013907
[13] 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 57 7221]
[14] Zutic I, Fabian J, Sarma D S 2004 Rev. Mod. Phys. 76 323
[15] Datta S, Das B 1990 Appl. Phys. Lett. 56 665
[16] Guo Y, Yu X W, Li Y X 2005 J. Appl. Phys. 98 053902
[17] Liu C Y, Li J, Wang Y, Chen J Y, Xu Q Y, Ni G, Sang H, Du Y W 2002 Chin. Phys. 11 66
[18] Hu C M, Matsuyama T 2001 Phys. Rev. Lett. 87 066803
[19] Rashba E I, Efros A L 2003 Phys. Rev. Lett. 56 665
[20] Slonczewski J C 1989 Phys. Rev. B 39 6995
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