An 8-band Kane model for quantum-sized heterostructures based on cubic semiconductors A³B⁵

This paper presents an 8-band Kane model for arbitrary heterostructures with abrupt interfaces. The method of invariants for heterostructures is used to construct Γ₁-Γ₁₅ effective kp-Hamiltonian, taking into account both conductance and valence bands kp-interaction and charge carriers scattering at an interface. The Γ₆-Γ₈-Γ₇ effective kp-Hamiltonian is obtained from the Γ₁-Γ₁₅ effective kp-Hamiltonian within the assumption that spin-orbit interaction of the bands Γ₆, Γ₈ and Γ₇ with all the rest band can be neglected