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 …

Renormalized mean-field analysis of antiferromagnetism and -wave superconductivity in the two-dimensional Hubbard model

J Reiss, D Rohe, W Metzner - Physical Review B—Condensed Matter and …, 2007 - APS
We analyze the competition between antiferromagnetism and superconductivity in the two-
dimensional Hubbard model by combining a functional renormalization group flow with a …

Thermal fluctuations of free-standing graphene

FL Braghin, N Hasselmann - Physical Review B—Condensed Matter and …, 2010 - APS
We use nonperturbative renormalization group techniques to calculate the momentum
dependence of thermal fluctuations of graphene, based on a self-consistent calculation of …

Accessing the ordered phase of correlated Fermi systems: Vertex bosonization and mean-field theory within the functional renormalization group

PM Bonetti - Physical Review B, 2020 - APS
We present a consistent fusion of functional renormalization group and mean-field theory
which explicitly introduces a bosonic field via a Hubbard-Stratonovich transformation at the …

Functional renormalization group for non-Hermitian and -symmetric systems

L Grunwald, V Meden, D Kennes - SciPost Physics, 2022 - scipost.org
We generalize the vertex expansion approach of the functional renormalization group to non-
Hermitian systems. As certain anomalous expectation values might not vanish, additional …

Nonlocal effective-average-action approach to crystalline phantom membranes

N Hasselmann, FL Braghin - Physical Review E—Statistical, Nonlinear, and …, 2011 - APS
We investigate the properties of crystalline phantom membranes, at the crumpling transition
and in the flat phase, using a nonperturbative renormalization group approach. We avoid a …

Renormalization group flow for fermionic superfluids at zero temperature

P Strack, R Gersch, W Metzner - Physical Review B—Condensed Matter and …, 2008 - APS
We present a comprehensive analysis of quantum fluctuation effects in the superfluid ground
state of an attractively interacting Fermi system, employing the attractive Hubbard model as …

Functional renormalization-group approach to interacting bosons at zero temperature

A Sinner, N Hasselmann, P Kopietz - Physical Review A—Atomic, Molecular …, 2010 - APS
We investigate the single-particle spectral density of interacting bosons within the
nonperturbative functional renormalization group technique. The flow equations for a Bose …

Spin functional renormalization group for quantum Heisenberg ferromagnets: Magnetization and magnon damping in two dimensions

R Goll, D Tarasevych, J Krieg, P Kopietz - Physical Review B, 2019 - APS
We use the spin functional renormalization group recently developed by two of us [Krieg and
Kopietz, Phys. Rev. B 99, 060403 (R)(2019) 2469-9950 10.1103/PhysRevB. 99.060403] to …

Self-consistent formulations for stochastic nonlinear neuronal dynamics

J Stapmanns, T Kühn, D Dahmen, T Luu, C Honerkamp… - Physical Review E, 2020 - APS
Neural dynamics is often investigated with tools from bifurcation theory. However, many
neuron models are stochastic, mimicking fluctuations in the input from unknown parts of the …