Schrödinger operators with subperiodic lattice symmetries: applications to quantum wires and STM

The project "Schrödinger operators with subperiodic lattice symmetries: applications to quantum wires and STM" deals with mathematical modeling and computational methods for crystalline matter with only subperiodic lattice symmetry. In situations when the full lattice symmetry is broken, like at crystal surfaces, quantum wires, step edges, nanotubes one has to apply different methods to describe the electronic and magnetic structure of the system under study. The scientific goal of this project is to better understand the electronic and magnetic structure of structures being of potential high relevance for the design of nanodevices. This project represents an interdisciplinary approach of a mathematics, a computational physics and an experimental physics group.