Regensburg 2016 – scientific programme

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O: Fachverband Oberflächenphysik

O 83: Heterostructures and Interfaces

O 83.11: Talk

Thursday, March 10, 2016, 12:30–12:45, H17

A functional renormalization group approach for treating interactions in disordered electron systems — •Christian Seiler and Ferdinand Evers — Institut für Theoretische Physik, Universität Regensburg, Deutschland

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. The main advantage of our approach is that we are able to treat disorder exactly from a numerical point of view, while the fRG enables us to characterize interaction-induced phase transitions that the system undergoes in an unbiased manner. This allows us to study the phase diagram of a model system without being restricted in the strength of the disorder.