Boundary Element Analysis Of Strain Fields
In InAs/GaAs Quantum Wire Structures
Author(s)
F. Han, E. Pan & J. D. Albrecht
Abstract
This paper studies the elastic fields in InAs/GaAs quantum wire (QWR)
structures arising from the mismatch lattice between InAs and GaAs. The present
treatment is different from recent analyses based on the Eshelby inclusion
approach where the QWR material, for simplicity, is assumed to be the same as
the matrix/substrate. Here, a more complete treatment is developed taking into
account the structural inhomogeneity using the boundary integral equation
method. We implement our model using discrete boundary elements at the
interface between the QWR and its surrounding matrix. The coefficients of the
algebraic equations are derived exactly for constant elements using our recent
Green’s function solutions in the Stroh formalism. For both (001) and (111)
growth directions, our results show that while the elastic fields far from the
QWR are approximated well by the homogeneous inclusion approach, for points
within or close to the QWR, the differences between the fields computed with
the simplified inclusion and complete inhomogeneity models can be as large as
10% for the test system. These differences in the strain fields will have strong
implications for the modeling of the quantized energy states of the quantum wire
nanostructures. Since the strain fields inside and close to the wire are more
important than the exterior strain fields from the standpoint of the confined
electronic states, we suggest that in the vicinity of the QWR, the inhomogeneity
model be used with proper elastic constants, whilst the simple exact inclusion
model be used in the bulk of surrounding medium.
Keywords: inclusion, inhomogeneity, exact closed-form solution, full/half plane
Green’s function, boundary integral equation.
Keywords
inclusion, inhomogeneity, exact closed-form solution, full/half plane
Green’s function, boundary integral equation.
Related Book
Other papers in this volume
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