**Principal Investigator:**
Prof. Fakher Assaad
, Institute for Theoretical Physics, Würzburg

**HPC Platform used:**
SuperMUC-NG at LRZ

**Local Project ID:**
pr53ju

The defining properties of our numerical research in the domain of correlated electron systems are the notions of emergence and criticality. Emergence only occurs in the thermodynamic limit where the volume of the system is taken to infinity at constant particle number. To investigate this phenomena we use the Algorithms for Lattice Fermion implementation of the auxiliary field quantum Monte Carlo algorithm that allows to simulate a large variety of model systems on importance in the solid state.