Sigurður Ingi Erlingsson - Lattice Models for Multi-Terminal Nanostructures in Magnetic Field
Fyrirlesturinn verður haldinn mánudaginn 13. september kl. 12:00-13:00 í húsnæði Háskólans í Reykjavík í Nauthólsvík í stofu M1.05.
Dr. Sigurður Erlingsson
School of Science and Engineering
Reykjavik University
Abstract
The first part of this talk will be a review of some of the basic properties of lattice models and how they relate to calculations of charge and spin transport in nanostructures. I will show how self-energies can be defined to handle the infinite dimensional matrices that naturally arise in such calculations. Applied magnetic fields can also be incorporated into this formalism and I will show how system with non-trivial shapes can by calculated. The second part of the talk will focus on algorithms to speed up numerical calculations, which in our case mostly involve matrix inversion. I will discuss a new algorithm that we are currently working on to speed up calculations in multi-terminal systems. Finally, if time permits, I will discuss (possible) future work on how to efficiently calculate even bigger and more complex systems.
