The nonperturbative functional renormalization group and its applications
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 …
conceptually and as a practical tool to determine the long-distance low-energy properties of …
Pseudo-fermion functional renormalization group for spin models
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 …
innovation in condensed matter. As much as the numerical tools for low-dimensional …
Functional renormalization group approach to correlated fermion systems
Numerous correlated electron systems exhibit a strongly scale-dependent behavior. Upon
lowering the energy scale, collective phenomena, bound states, and new effective degrees …
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 …
class of correlation functions are derived, and it is shown how symmetry relations of the …
Functional renormalization group for multi-orbital Fermi surface instabilities
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 …
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
We present a novel scheme for an unbiased, nonperturbative treatment of strongly
correlated fermions. The proposed approach combines two of the most successful many …
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 …
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
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 …
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 …
two-dimensional electron system, for example by applying voltages to local gates. The linear …