The goal of this project is to study mathematical models that describe the physics of crystal growth. By understanding these models, we aim to control the formation patterns of quantum dots, which are crucial for advancing technologies like semiconductors and optoelectronics.
Crystals in semiconductors/optoelectronics
Many modern technologies, such as semiconductors, optoelectronics (like quantum dot lasers), and magneto-optics, depend on the ability to control how a crystal film grows on a substrate. This crystal can be made of a single material or an alloy. Some applications need a flat layer of crystal, while others use quantum dots, which behave as zero-dimensional semiconductor nanostructures. Quantum dots are small clusters of atoms that spontaneously form on the surface when enough material is deposited. Their physical properties, such as size, shape, and distribution, are important for their functionality.
Describe and predict crystal growth
In this project, we aim to analyse mathematical models that describe the complex phenomena of crystal growth. By studying these models, we will validate their accuracy and reliability, ensuring they correctly represent the physical processes involved. Additionally, we will develop simplified, approximate models that can be used in computer simulations. These efforts will help us better understand and control the growth of crystals and the formation of quantum dots, which are essential for advancing technologies such as semiconductors and optoelectronics.