Eight-band kp model of strained zinc-blende crystals

Thomas B. Bahder
Phys. Rev. B 41, 11992 – Published 15 June 1990; Erratum Phys. Rev. B 46, 9913 (1992)
PDFExport Citation

Abstract

Second-order Löwdin perturbation theory is used to calculate the interaction matrices for an eight-band kp model (near the Γ point) of zinc-blende crystals under a uniform strain. The model treats the Γ6 conduction bands, Γ8 valence bands, and Γ7 spin-orbit split-off bands. The model includes strain interactions arising from both the orbital and spin-orbit terms of the Hamiltonian. In addition to the usual Pikus-Bir deformation-potential constants, a, b, and d, which describe the coupling of the valence band to strain, two new deformation-potential constants arise, a and b, which describe the coupling of the conduction band to strain. The constant a couples the conduction band to hydrostatic deformations and the constant b, which results from a lack of inversion symmetry, couples the conduction band to shear deformations. The strain also introduces a k-dependent conduction-band–valence-band mixing that is linear in strain, in wave vector, and in the momentum matrix element between the conduction and valence bands. In the absence of strain, the eight-band Kane model is recovered. Under a finite strain, in the limit of a large conduction-band–valence-band gap and large spin-orbit splitting, the four-band Luttinger model with strain is recovered.

  • Received 12 February 1990

DOI:https://doi.org/10.1103/PhysRevB.41.11992

©1990 American Physical Society

Erratum

Authors & Affiliations

Thomas B. Bahder

  • U.S. Army Laboratory Command, Harry Diamond Laboratories, 2800 Powder Mill Road, Adelphi, Maryland 20783-1197

References (Subscription Required)

Click to Expand
Issue

Vol. 41, Iss. 17 — 15 June 1990

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×