The nonperturbative functional renormalization group and its applications

N Dupuis, L Canet, A Eichhorn, W Metzner… - Physics Reports, 2021 - Elsevier
The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …

Pseudo-fermion functional renormalization group for spin models

T Müller, D Kiese, N Niggemann… - Reports on Progress …, 2024 - iopscience.iop.org
For decades, frustrated quantum magnets have been a seed for scientific progress and
innovation in condensed matter. As much as the numerical tools for low-dimensional …

Possible -wave superconductivity in

QG Yang, D Wang, QH Wang - Physical Review B, 2023 - APS
Recently, the bulk nickelate La 3 Ni 2 O 7 is reported to show a signature of high-
temperature superconductivity under high pressure above 14 GPa [H. Sun, Nature (London) …

Functional renormalization group approach to correlated fermion systems

W Metzner, M Salmhofer, C Honerkamp, V Meden… - Reviews of Modern …, 2012 - APS
Numerous correlated electron systems exhibit a strongly scale-dependent behavior. Upon
lowering the energy scale, collective phenomena, bound states, and new effective degrees …

Aspects of the functional renormalisation group

JM Pawlowski - Annals of Physics, 2007 - Elsevier
We discuss structural aspects of the functional renormalisation group. Flows for a general
class of correlation functions are derived, and it is shown how symmetry relations of the …

Functional renormalization group for multi-orbital Fermi surface instabilities

C Platt, W Hanke, R Thomale - Advances in Physics, 2013 - Taylor & Francis
Technological progress in material synthesis, as well as artificial realization of condensed
matter scenarios via ultra-cold atomic gases in optical lattices or epitaxial growth of thin …

From infinite to two dimensions through the functional renormalization group

C Taranto, S Andergassen, J Bauer, K Held, A Katanin… - Physical review …, 2014 - APS
We present a novel scheme for an unbiased, nonperturbative treatment of strongly
correlated fermions. The proposed approach combines two of the most successful many …

Efficient parametrization of the vertex function, scheme, and the Hubbard model at van Hove filling

C Husemann, M Salmhofer - Physical Review B—Condensed Matter and …, 2009 - APS
We propose a parametrization of the four-point vertex function in the one-loop one-particle
irreducible renormalization group (RG) scheme for fermions. It is based on a decomposition …

High-frequency asymptotics of the vertex function: Diagrammatic parametrization and algorithmic implementation

N Wentzell, G Li, A Tagliavini, C Taranto, G Rohringer… - Physical Review B, 2020 - APS
Vertex functions are a crucial ingredient of several forefront many-body algorithms in
condensed matter physics. However, the full treatment of their frequency and momentum …

Microscopic origin of the '0.7-anomaly'in quantum point contacts

F Bauer, J Heyder, E Schubert, D Borowsky, D Taubert… - Nature, 2013 - nature.com
Quantum point contacts are narrow, one-dimensional constrictions usually patterned in a
two-dimensional electron system, for example by applying voltages to local gates. The linear …