Quantum Dots and Dislocations: Dynamics of Materials Defects

The formation and assembly patterns of quantum dots have a significant impact on the optoelectronic properties of semiconductors. We will address short time existence for a surface diffusion evolution equation with curvature regularization in the context of epitaxially strained three-dimensional films. We will discuss optimal faceted shapes of quantum dots and wetting in the case in which there are a non-vanishing crystallographic miscut and a lattice incompatibility between the film and the substrate. The nucleation of misfit dislocations will be analyzed.

• Speaker: Irene Fonseca, Carnegie Mellon University
• Thursday 01 December 2016, 15:00–16:00
• Venue: MR11 Centre for Mathematical Sciences.
• Series: CCIMI Seminars; organiser: Rachel Furner.