The Hubbard model: A computational perspective
The Hubbard model is the simplest model of interacting fermions on a lattice and is of similar
importance to correlated electron physics as the Ising model is to statistical mechanics or the …
importance to correlated electron physics as the Ising model is to statistical mechanics or the …
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 …
Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
Strong electronic correlations pose one of the biggest challenges to solid state theory.
Recently developed methods that address this problem by starting with the local, eminently …
Recently developed methods that address this problem by starting with the local, eminently …
Solutions of the two-dimensional Hubbard model: benchmarks and results from a wide range of numerical algorithms
Numerical results for ground-state and excited-state properties (energies, double
occupancies, and Matsubara-axis self-energies) of the single-orbital Hubbard model on a …
occupancies, and Matsubara-axis self-energies) of the single-orbital Hubbard model on a …
Tracking the footprints of spin fluctuations: A multimethod, multimessenger study of the two-dimensional Hubbard model
The Hubbard model represents the fundamental model for interacting quantum systems and
electronic correlations. Using the two-dimensional half-filled Hubbard model at weak …
electronic correlations. Using the two-dimensional half-filled Hubbard model at weak …
w2dynamics: Local one-and two-particle quantities from dynamical mean field theory
We describe the hybridization-expansion continuous-time quantum Monte Carlo code
package “w2dynamics”, developed in Wien and Würzburg. We discuss the main features of …
package “w2dynamics”, developed in Wien and Würzburg. We discuss the main features of …
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 …
Fate of the false Mott-Hubbard transition in two dimensions
We have studied the impact of nonlocal electronic correlations at all length scales on the
Mott-Hubbard metal-insulator transition in the unfrustrated two-dimensional Hubbard model …
Mott-Hubbard metal-insulator transition in the unfrustrated two-dimensional Hubbard model …
Mott physics and spin fluctuations: A unified framework
T Ayral, O Parcollet - Physical Review B, 2015 - APS
We present a formalism for strongly correlated electron systems which consists in a local
approximation of the dynamical three-leg interaction vertex. This vertex is self-consistently …
approximation of the dynamical three-leg interaction vertex. This vertex is self-consistently …
Fluctuation diagnostics of the electron self-energy: Origin of the pseudogap physics
We demonstrate how to identify which physical processes dominate the low-energy spectral
functions of correlated electron systems. We obtain an unambiguous classification through …
functions of correlated electron systems. We obtain an unambiguous classification through …