A simple method for calculating strain distributions in quantum-wire structures

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Abstract
We present a simple method for calculating the stress and strain distributions due to an initially uniformly strained quantum wire with a cross section of arbitrary shape buried in an infinite medium. The method involves the evaluation of a path integral around the boundary of the quantum wire and is therefore considerably more straightforward to implement than alternative stress evaluation techniques. Published results for the strain distribution due to a rectangular quantum wire are confirmed and results for a quantum wire of triangular cross section are presented.