Strain Field Calculations in Embedded Quantum Dots and Wires

Authors: Maranganti, R.; Sharma, P.

Source: Journal of Computational and Theoretical Nanoscience, Volume 4, Number 4, June 2007 , pp. 715-738(24)

Publisher: American Scientific Publishers

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Abstract:

In this article, we review and discuss existing literature on calculation of the state of strain in embedded quantum dots and quantum wires. The effect of various factors such as the shape of the embedded quantum dot/wire structure, material anisotropy, presence of a free surface, elastic nonlinearity, and piezoelectricity on the strain-fields generated in embedded quantum dots/wires is addressed. Though our particular focus has been on cataloguing the known analytical expressions, we also discuss numerical results obtained from discrete atomistic methods. Novel size-dependent elastic effects which cannot be explained by classical elasticity (which is intrinsically size-independent) may manifest themselves at the length scales at which these structures exist. While discrete atomistic simulations are expected to capture these size-dependent effects, field theoretic methods in the same vein as classical elasticity are highly desirable. To address this, we discuss the effect the QD/QWR size on the elastic strain under the purview of two size-dependent continuum elasticity theories: surface elasticity and non-local elasticity. Lastly, we present a discussion on some results from inclusion theory which may prove to be useful for strain calculations in QD structures.

Keywords: QUANTUM DOT; QUANTUM WIRE; STRAIN; INCLUSION; ELASTICITY; SIZE-DEPENDENT

Document Type: Review article

DOI: 10.1166/jctn.2007.002

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