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 …

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 …

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 …

Multipoint correlation functions: Spectral representation and numerical evaluation

FB Kugler, SSB Lee, J von Delft - Physical Review X, 2021 - APS
The many-body problem is usually approached from one of two perspectives: the first
originates from an action and is based on Feynman diagrams, the second is centered …

Analytic continuation of multipoint correlation functions

A Ge, J Halbinger, SSB Lee, J von Delft… - Annalen der …, 2024 - Wiley Online Library
Conceptually, the Matsubara formalism (MF), using imaginary frequencies, and the Keldysh
formalism (KF), formulated in real frequencies, give equivalent results for systems in thermal …

Functional renormalization group approach to transport through correlated quantum dots

C Karrasch, T Enss, V Meden - Physical Review B—Condensed Matter and …, 2006 - APS
We investigate the effect of local Coulomb correlations on electronic transport through a
variety of coupled quantum dot systems connected to Fermi liquid leads. We use a functional …

Dynamical mean-field theory for spin-dependent electron transport in spin-valve devices

A Droghetti, MM Radonjić, L Chioncel, I Rungger - Physical Review B, 2022 - APS
We present a combination of density functional theory and dynamical mean-field theory
(DMFT) for computing the electron transmission through two-terminal nanoscale devices …

Impurity and correlation effects on transport in one-dimensional quantum wires

T Enss, V Meden, S Andergassen… - Physical Review B …, 2005 - APS
We study transport through a one-dimensional quantum wire of correlated fermions
connected to semi-infinite leads. The wire contains either a single impurity or two barriers …

Two-particle Fermi liquid parameters at the Mott transition: Vertex divergences, Landau parameters, and incoherent response in dynamical mean-field theory

F Krien, EGCP van Loon, MI Katsnelson… - Physical Review B, 2019 - APS
We consider the interaction-driven Mott transition at zero temperature from the viewpoint of
microscopic Fermi liquid theory. To this end, we derive an exact expression for the Landau …

Fermion-boson vertex within dynamical mean-field theory

EGCP van Loon, F Krien, H Hafermann, AI Lichtenstein… - Physical Review B, 2018 - APS
In the study of strongly interacting systems, correlations on the two-particle level are
receiving more and more attention. In this work, we study a particular two-particle correlation …