Berlin 2018 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 15: Dual-Method Approaches to Quantum Many-Body Systems I

TT 15.2: Talk

Monday, March 12, 2018, 15:15–15:30, H 0104

Parquet equations for the 2D Hubbard model using channel decomposition — •Christian Eckhardt¹, Giulio Schober¹, and Carsten Honerkamp^1,2 — ¹Institute for Theoretical Solid State Physics, RWTH Aachen University, Aachen, Germany — ²JARA-FIT, Jülich Aachen Research Alliance - Fundamentals of Future Information Technology, Germany

The parquet equations are a set of self consistent equations for the effective interaction vertex of an interacting many-fermion system. The application of the parquet equations in bulk models is, however, complicated by the complex emergent momentum and frequency structure of the vertex. Here we show how techniques for the treatment of the momentum dependence, that were developed in the context of the functional renormalization group, can be applied to the parquet equations. We present solutions using this technique for the half-filled Hubbard model on the square lattice and discuss ways to include the frequency dependence of the vertices.