Lattice Simulations of Dirac Fermions: Applications to Topological Insulators
In the first part of this talk we will present the solution to a long-standing problem: the complete avoidance of fermion doubling in finite-difference approximations (``lattice simulations”) to the Dirac equation. Both pure- and mixed-state dynamics within, respectively, Schroedinger and vonNeumann form will be investigated.
In the second part, we will give numerical results from space-time resolved simulation of Dirac fermion dynamics (``spintronics”) on the surface of topological insulators in presence of electro-magnetic texture.
Cm-Bio 12-04 Poetz flyer