Berlin 2012 – scientific programme
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HL: Fachverband Halbleiterphysik
HL 71: Poster Session: Graphene / Topological Insulators / Interfaces and Surfaces
HL 71.24: Poster
Wednesday, March 28, 2012, 16:00–19:00, Poster D
A functional renormalization group approach for treating interactions in strongly disordered electron systems — •Christian Seiler1,2 and Ferdinand Evers1,2 — 1Institut für Theorie der Kondensierten Materie, Karlsruhe Institute of Technology, Karlsruhe, Germany — 2Institut für Nanotechnologie, Karlsruhe Institute of Technology, Karlsruhe, Germany
We propose an approach to treat the effects of interactions in disordered electron systems on a numerical level. The idea is to solve the non-interacting disorder problem for a given disorder realization exactly. We then use the functional renormalization group method to introduce interactions on a perturbative level. In contrast to usual applications of the fRG, we formulate it in terms of the eigenfunctions of the disordered non-interacting Hamiltonian. Disorder averaging of physical quantities is performed as the final step. The main advantage of our approach is that we are able to treat disorder exactly from a numerical point of view. We compare our method to exact diagonalization and Hartree-Fock for small systems and discuss its applicability for larger systems.