EPJ B Topical Issue on Recent developments in the functional renormalization group approach to correlated electron systems

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Published on 13 January 2023

Guest editors: Carsten Honerkamp, Dante Kennes, Volker Meden, Michael Scherer and Ronny Thomale.

This Topical Issue of EPJ B brings together a collection of articles on the recent progress of the application of the functional renormalization group to correlated electron systems.

In condensed-matter physics strong correlations between electrons in materials and devices are responsible for the formation of many intriguing emergent phenomena, including various types of magnetism, (unconventional) superconductivity, Kondo-like effects or interaction-induced topological phases. Theoretical progress in the understanding of correlated electron systems requires the dedicated development of modern and powerful quantum many-body methods. One rather versatile method is the functional renormalization group, which has recently witnessed major methodological advances and extensions. This includes aspects of the renormalization group formulation, increased computer power and enhanced interlinks to ab initio quantum material methods, extensions to novel strongly correlated electronic models, and electronic systems out of equilibrium.

The present articles on the one hand provide an overview on this progress but on the other hand dive deeply into the technical details. We hope that the collection will turn out to be useful for beginners, who consider using the functional renormalization group to investigate a modern correlated material or device, as well as for expert users, who want to improve their approximation and code to dig even deeper into the mysteries of emergent quantum many-body effects.