Application of block diagonal technique to Hamiltonian matrix in performing spin-splitting calculations for GaAs zincblende bulk and quantum wells

作者：Chen, Chun Nan; Su, Wei Long; Chang, Kuo Ching; Chang, Sheng Hsiung; Chiang, Jih Chen; Lo, Ikai; Wang, Wan Tsang; Kao, Hsiu Fen; Lee, Meng En

来源：Journal of Applied Physics, 2008, 104(2): 024901.

DOI：10.1063/1.2907445

The 2 x 2 conduction band, 4 x 4 hole band, and 2 x 2 spin-orbit split-off band matrices of zincblende semiconductors are obtained by using a block diagonal technique. Importantly, the block diagonal matrices incorporate not only the interband coupling effect but also the bulk inversion asymmetry effect. Analytical expressions for the conduction band spin-splitting energies of GaAs zincblende bulk and quantum wells grown on [001]-, [111]-, and [110]-oriented substrates are formulated by solving the block diagonal matrices. The results show that odd-in-k terms exist in both the bulk and the quantum well expressions due to the bulk inversion asymmetry effect. The presence of these terms is shown to induce the spin-splitting phenomenon.

• 出版日期2008-7-15
• 单位中山大学