A modified transfer matrix approach to include Zeeman spin splitting in dispersion relations for coupled quantum wells

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Hernández-Cabrera, A.^1 ; Aceituno, P.^1

Departamento de Física, Universidad de La Laguna, Instituto Universitario de Estudios Avanzados (IUdEA) en Fisica Atomica, La Laguna-Tenerife

38206, Spain^1

关键词: Asymmetric structures;    Coupled quantum well;    Dispersion relations;    In-plane magnetic fields;    Modified transfer matrix;    Transfer matrix approach;    Transverse electric field;    Zeeman spin splitting;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012069/pdf
DOI  :  10.1088/1742-6596/574/1/012069

来源: IOP

【 摘 要 】

In our work, we calculate the dispersion relations for InGaAs-InAlAs based double quantum wells (narrow gap structures). We have developed an improved 4 × 4 version of the Transfer Matrix Approach, considering contributions from external fields when tunneling through central barrier exists. The transverse electric field is necessary to reach the resonance of electronic levels in asymmetric structures. The in-plane magnetic field induces the Zeeman effect and the spin splitting of the resonant levels. We have also included abrupt barrier effects due to the nature of the interfaces between the above materials.