###### Content

# Truncated-Unity Parquet Equations for the half filled Hubbard Model

### Christian Eckhardt

#### 09.08.2018 at 10:00

The parquet equations are a self-consistent set of equations for the effective two-particle vertex of an interacting many-fermion system.

The application of these equations to bulk models is, however, demanding due to the complex emergent momentum and frequency structure of the vertex.

In my talk I will discuss, how a channel-decomposition by means of truncated unities, which was developed in the context of the functional renormalization group to efficiently treat the momentum dependence, can be transferred to the parquet equations.

This leads to a significantly reduced complexity and memory consumption scaling only linearly with the number of discrete momenta.

I will present some results from the application to the half filled 2D Hubbard model, in particular an approximate solution for the vertex, and also compare to other methods.

A 450, Theresienstr. 37