Quantum Field Theory for correlated Many-Body Systems

Our research group develops quantum field theoretical methods for the description of correlation effects between electrons in theoretical models as well as realistic materials. These systems are often characterized by interesting physical phenomena such as (high-temperature) superconductivity or magnetism, which are potentially also of high technological relevance.

The large number of strongly interacting particles, on the other hand, requires substantial approximations in the theoretical description of such systems, even when modern supercomputers are available for the numerical calculations.

In this respect, a large number of theoretical approaches has been developed for the analysis of complex many-body systems. Unfortunately, most of them lead to inconsistencies in the description of physical observables such as the potential and the kinetic energies.

In the Emmy Noether project „Two–particle self-consistency in diagrammatic theories for strongly correlated electron systems“, these problems will be intensley investigated. The results, which will be obtained from the improved theoretical methods, will provide an improved understanding of the physical properties of many-body systems.