K. Nishi et al., ANALYSES OF LOCALIZED CONFINEMENT POTENTIAL IN SEMICONDUCTOR STRAINEDWIRES AND DOTS BURIED IN LATTICE-MISMATCHED MATERIALS, Journal of applied physics, 76(11), 1994, pp. 7437-7445
Analytical and finite-element-method calculations have been conducted
for obtaining strain distributions and consequent carrier confinement
potential changes in semiconductor strained wires and dots made of lat
tice-mismatched materials. The inhomogeneous strain distribution modif
ies the confinement potentials locally, which causes carrier wave func
tion localization. First, to obtain a fundamental strain distribution
and band-structure change semiquantitatively, analytical calculations
are performed in simple, symmetrical structures such as an InP cylinde
r and an InP ball buried in GaAs or InGaP matrices assuming isotropic
valence bands and isotropic elastic characteristics. Here, strain is f
ound to exist in the surrounding matrices as well as in the wires and
dots. This effect is peculiar to the strained wire and dot because in
pseudomorphic strained layers there is no strain in surrounding matric
es. Thus, the band structures are found to be greatly modified in the
surrounding matrix as well as in the wire or dot. Hole effective masse
s at the band edge are also calculated by diagonalizing a 4X4 orbital
strain Hamiltonian. Furthermore, to calculate the effects in a realist
ic structure, finite-element-method calculations are performed for a t
riangle-shaped InP wire along the <110> direction, including anisotrop
ic elastic characteristics. Calculated nonuniform strain within the wi
re is found to modify the confinement potential, which localizes elect
rons near the base. Valence subbands are largely split near the vertic
es. From these results, the strained wires and dots are found to be ap
plicable for quantum wires and dots, in which the quantum confinement
effect will be enhanced by the modified confinement potential due to t
he inhomogeneous strain. (C) 1994 American Institute of Physics.