Application of block diagonal technique to Hamiltonian matrix in performing spin-splitting calculations for GaAs zincblende bulk and quantum wells-Reference-Cited by-同舟云学术

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

Published:2008-07-15 Issue:2 Volume:104 Page:
ISSN:0021-8979
Container-title:Journal of Applied Physics
language:en
Short-container-title:

Author:

Chen Chun-Nan¹,Su Wei-Long²,Chang Kuo-Ching³,Chang Sheng-Hsiung³,Chiang Jih-Chen⁴,Lo Ikai⁴,Wang Wan-Tsang⁴,Kao Hsiu-Fen⁴,Lee Meng-En⁴

Affiliation:

1. Tamkang University 1 Quantum Science Simulation and Computing Laboratory, Department of Physics, , 151 Ying-chuan Road, Tamsui, Taipei County, Taiwan 25137, People's Republic of China

2. Lee-Ming Institute of Technology 2 Department of Electronic Engineering, , Taishan, Taipei County, Taiwan 24305, People's Republic of China

3. Far-East University 3 Department of Electronic Engineering, , Hsin-Shih Town, Tainan County, Taiwan 744, People's Republic of China

4. National Sun Yat-Sen University 4 Department of Physics, , Kaohsiung 80424, Taiwan, People's Republic of China

Abstract

The 2×2 conduction band, 4×4 hole band, and 2×2 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.

Publisher

AIP Publishing

Link

https://pubs.aip.org/aip/jap/article-pdf/doi/10.1063/1.2907445/13209123/024901_1_online.pdf

Reference22 articles.

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