Regensburg 2013 – scientific programme

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MM: Fachverband Metall- und Materialphysik

MM 3: Computational Materials Modelling - Fundamentals

MM 3.2: Talk

Monday, March 11, 2013, 10:30–10:45, H24

The physical solution of the GW approximation — •Falk Tandetzky, Kay Dewhurst, Sangeeta Sharma, and E.K.U. Gross — Max Planck Institute of Microstructure Physics, Weinberg 2, 06120 Halle, Germany

We show¹ that the equations underlying the GW approximation have a large number of solutions. To the best of our knowledge no such extra solutions have been reported in the literature yet. This raises the questions: Which is the physical solution? And why do numerical methods converge to it, rather than to one of the spurious solutions? We provide theorems which answer both of these questions. These theorems are general enough to cover a large class of similar algorithms. This fact is important for understanding how vertex corrections can be treated without running into unphysical solutions.

[1] F. Tandetzky, J. K. Dewhurst, S. Sharma, E. K. U. Gross: arXiv:1205.4274