Analysis of Elastic and Electrical Fields in Quantum Structures by Novel Green's Functions and Related Boundary Integral Methods
Abstract
Quantum structures made of components with at least one dimension being at nanoscale, show great potential for future optoelectronic device applications. The elastic fields in quantum structures affect their physical and mechanical properties, and also play a significant role in their fabrication. Therefore, it is crucial that the induced elastic fields in quantum structures be modeled accurately and efficiently. In Chapter II, a rigorous analysis on the elastic and electric fields in 2-dimensional quantum wire (QWR) structures is presented using the novel Green's functions and related boundary element method (BEM). The elastic and electric fields in embedded QWR structures for both the inclusion and inhomogeneity models are investigated. The electric field distribution in polygonal QWRs with different sides is also studied and it is found that the electric field in triangle and square QWRs can be very different to those in polygonal QWRs with sides larger than 4. In Chapter III, a bimaterial BEM is developed for the calculation of the strain energy density and the relative strain energy in free-standing/embedded QWR structures. The required bimaterial Green's functions are derived in terms of the Stroh formalism. The boundary of the QWR is discretized with constant elements for which the involved Green's function kernels can be exactly integrated. We found that the magnitude of the relative strain energy increases with increasing depth of the QWR with respect to the surface of the substrate. Strain energy density inside the QWR is also plotted to show its close relation to the QWR shape. In Chapter IV, an analytical method for calculating the 3-dimensional quantum dot (QD) induced elastic field in the half-space substrate is presented.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 2010
- Accession Number
- ADA534102
Entities
People
- Yan Zhang
Organizations
- University of Akron