摘要By the method of finite difference, the anisotropic spin splitting of the AlxGa1-xAs/GaAs/AlyGa1-yAs/AlxGa1-xAs step quantum wells (QWs) are theoretically investigated considering the interplay of the bulk inversion asymmetry and structure inversion asymmetry induced by step quantum well structure and external electric field. We demonstrate that the anisotropy of the total spin splitting can be controlled by the shape of the QWs and the external electric field. The interface related Rashba effect plays an important effect on the anisotropic spin splitting by influencing the magnitude of the spin splitting and the direction of electron spin. The Rashba spin splitting presents in the step quantum wells due to the interface related Rashba effect even without external electric field or magnetic field.
Abstract:By the method of finite difference, the anisotropic spin splitting of the AlxGa1-xAs/GaAs/AlyGa1-yAs/AlxGa1-xAs step quantum wells (QWs) are theoretically investigated considering the interplay of the bulk inversion asymmetry and structure inversion asymmetry induced by step quantum well structure and external electric field. We demonstrate that the anisotropy of the total spin splitting can be controlled by the shape of the QWs and the external electric field. The interface related Rashba effect plays an important effect on the anisotropic spin splitting by influencing the magnitude of the spin splitting and the direction of electron spin. The Rashba spin splitting presents in the step quantum wells due to the interface related Rashba effect even without external electric field or magnetic field.
[1] Hu C M et al 1999 Phys. Rev. B 60 7736 [2] Yang W and Chang K 2006 Phys. Rev. B 74 193314 [3] Wang J and Wu C Q 2008 Chin. Phys. Lett. 253001 [4] Winkler R 2003 Spin-Orbit Coupling Effects inTwo-Dimensional Electron and Hole Systems (Berlin: Springer) chap 5p 61 [5] Dresselhaus G 1955 Phys. Rev. 100 580 [6] Bychkov Yu A and Rashba E I 1984 J. Phys. C 176039 [7] Schliemann J et al 2003 Phys. Rev. Lett. 90146801 [8] Shang L Y et al 2008 Chin. Phys. Lett. 25 2194 [9] Andrada e Silva E A de 1992 Phys. Rev. B 461921 [10] Kainz J et al 2003 Phys. Rev. B 68 075322 [11] Gilberston A M et al 2008 Phys. Rev. B 77165335 [12] Averkiev N S and Golub L E 1999 Phys. Rev. B 60 15582 [13] Cartoix\`{a X et al 2003 Appl. Phys. Lett. 83 1462 [14] Zawadzki W et al 2004 Semicond. Sci. Technol. 19 R1 [15] Pfeffer P and Zawadzki W 1999 Phys. Rev. B 59R5312 [16] Matsuyama T et al 2000 Phys. Rev. B 61 15588 [17] Andrada e Silva E A de, La Rocca G C and Bassani F 1994 Phys. Rev. B 50 8523 [18] Winkler R 2004 Phys. Rev. B 69 045317 [19] Averkiev N S et al 2002 J. Phys: Condens. Matter 14 R271 [20] Andrada e Silva E A de, La Rocca G C and Bassani F 1997 Phys. Rev. B 55 16293 [21] Eppenga R et al 1988 Phys. Rev. B 37 10923 [22] Averkiev N S et al 2008 Semicond. Sci. Technol. 23 114002