Physics – Condensed Matter – Materials Science
Scientific paper
1998-06-02
Physics
Condensed Matter
Materials Science
17 pages (LaTex), 18 figures (JPEG), submitted to Journal of Applied Physics
Scientific paper
10.1063/1.368549
Lattice mismatch in layered semiconductor structures with submicron length scales leads to extremely high nonuniform strains. This paper presents a finite element technique for incorporating the effects of the nonuniform strain into an analysis of the electronic properties of SiGe quantum structures. Strain fields are calculated using a standard structural mechanics finite element package and the effects are included as a nonuniform potential directly in the time independent Schrodinger equation; a k-p Hamiltonian is used to model the effects of multiple valence subband coupling. A variational statement of the equation is formulated and solved using the finite element method. This technique is applied to resonant tunneling diode quantum dots and wires; the resulting densities of states confined to the quantum well layers of the devices are compared to experimental current-voltage I(V) curves.
Akyuz C. D.
Freund L. B.
Johnson Thomas H.
Zaslavsky Alexander
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