Indirect-to-direct gap transition in strained and unstrained SnxGe1-x alloys

Author(s)
C. Eckhardt, Kerstin Hummer, G. Kresse
Abstract

The transition from an indirect to a direct gap semiconductor in unstrained as well as compressively and tensile strained SnxGe1−x alloys is investigated as a function of the Sn content 0 ≤ x ≤ 1 by means of both a very accurate supercell approach and the more approximate virtual crystal approximation (VCA). In the local density approximation we calculate the bowing parameter of the lattice constant of unstrained SnxGe1−x alloys. Provided that pseudopotentials suitable for the VCA are used, the random supercell and VCA approaches yield consistent bowing parameters for the lattice constant of −0.21 and −0.28 Å, respectively, in the entire Sn concentration range. The band structures and energy gaps are calculated using the modified Becke-Johnson potential, which, for Ge, yields a one-electron band gap in very good agreement with experimental data. The crossover from an indirect to a direct gap semiconducting alloy is determined at about 4.5% Sn in unstrained SnxGe1−x. When SnxGe1−x is grown commensurately and thus strained on Ge(100), a transition to a direct gap is also observed but at Sn concentrations of about 10%. We finally predict the direct and indirect band gaps as a function of the in-plane lattice constant and Sn concentration for SnxGe1−x alloys grown on (100) substrates.

Organisation(s)
Computational Materials Physics
Journal
Physical Review B
Volume
89
No. of pages
9
ISSN
1098-0121
DOI
https://doi.org/10.1103/PhysRevB.89.165201
Publication date
04-2014
Peer reviewed
Yes
Austrian Fields of Science 2012
103009 Solid state physics, 103015 Condensed matter, 103025 Quantum mechanics, 103036 Theoretical physics
Keywords
Portal url
https://ucrisportal.univie.ac.at/en/publications/indirecttodirect-gap-transition-in-strained-and-unstrained-snxge1x-alloys(ff364e7b-8f46-4f91-bbac-f5a7e6a2b263).html