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 …

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 …

Defects in correlated metals and superconductors

H Alloul, J Bobroff, M Gabay, PJ Hirschfeld - Reviews of Modern Physics, 2009 - APS
In materials with strong local Coulomb interactions, simple defects such as atomic
substitutions strongly affect both macroscopic and local properties of the system. A …

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 …

[图书][B] The flow equation approach to many-particle systems

S Kehrein - 2007 - books.google.com
Overthepastdecade, the? owequationmethodhasdevelopedintoanewv-satile theoretical
approach to quantum many-body physics. Its basic concept was conceived independently …

frustrated two-dimensional Heisenberg model: Random phase approximation and functional renormalization group

J Reuther, P Wölfle - Physical Review B—Condensed Matter and Materials …, 2010 - APS
We study the ground-state properties of the two-dimensional spin-1/2 J 1-J 2 Heisenberg
model on a square lattice, within diagrammatic approximations using an auxiliary-fermion …

Quantitative functional renormalization group description of the two-dimensional Hubbard model

C Hille, FB Kugler, CJ Eckhardt, YY He, A Kauch… - Physical Review …, 2020 - APS
Using a leading algorithmic implementation of the functional renormalization group (fRG) for
interacting fermions on two-dimensional lattices, we provide a detailed analysis of its …

A finite-frequency functional renormalization group approach to the single impurity Anderson model

C Karrasch, R Hedden, R Peters… - Journal of Physics …, 2008 - iopscience.iop.org
We use the Matsubara functional renormalization group (FRG) to describe electronic
correlations within the single impurity Anderson model. In contrast to standard FRG …

Renormalization group flows into phases with broken symmetry

M Salmhofer, C Honerkamp, W Metzner… - … of theoretical physics, 2004 - academic.oup.com
We describe a method to continue the fermionic renormalization group flow into phases with
broken global symmetry. This method does not require a Hubbard-Stratonovich decoupling …