The Hubbard model: A computational perspective

M Qin, T Schäfer, S Andergassen… - Annual Review of …, 2022 - annualreviews.org
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 …

Ultrafast optical spectroscopy of strongly correlated materials and high-temperature superconductors: a non-equilibrium approach

C Giannetti, M Capone, D Fausti, M Fabrizio… - Advances in …, 2016 - Taylor & Francis
In the last two decades non-equilibrium spectroscopies have evolved from avant-garde
studies to crucial tools for expanding our understanding of the physics of strongly correlated …

Continuous-time Monte Carlo methods for quantum impurity models

E Gull, AJ Millis, AI Lichtenstein, AN Rubtsov… - Reviews of Modern …, 2011 - APS
Quantum impurity models describe an atom or molecule embedded in a host material with
which it can exchange electrons. They are basic to nanoscience as representations of …

Tracking the footprints of spin fluctuations: A multimethod, multimessenger study of the two-dimensional Hubbard model

T Schäfer, N Wentzell, F Šimkovic IV, YY He, C Hille… - Physical Review X, 2021 - APS
The Hubbard model represents the fundamental model for interacting quantum systems and
electronic correlations. Using the two-dimensional half-filled Hubbard model at weak …

Selective Mott physics as a key to iron superconductors

L de'Medici, G Giovannetti, M Capone - Physical review letters, 2014 - APS
We show that electron-and hole-doped BaFe 2 As 2 are strongly influenced by a Mott
insulator that would be realized for half-filled conduction bands. Experiments show that …

Superconductivity and the pseudogap in the two-dimensional Hubbard model

E Gull, O Parcollet, AJ Millis - Physical review letters, 2013 - APS
Recently developed numerical methods have enabled the explicit construction of the
superconducting state of the Hubbard model of strongly correlated electrons in parameter …

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 …

Momentum-space anisotropy and pseudogaps: A comparative cluster dynamical mean-field analysis of the doping-driven metal-insulator transition in the two …

E Gull, M Ferrero, O Parcollet, A Georges… - Physical Review B …, 2010 - APS
Cluster dynamical mean-field calculations based on 2-, 4-, 8-, and 16-site clusters are used
to analyze the doping-driven metal-insulator transition in the two-dimensional Hubbard …

Pseudogap opening and formation of Fermi arcs as an orbital-selective Mott transition in momentum space

M Ferrero, PS Cornaglia, L De Leo, O Parcollet… - Physical Review B …, 2009 - APS
We present an approach to the normal state of cuprate superconductors which is based on a
minimal cluster extension of dynamical mean-field theory. Our approach is based on an …

Mott physics and spin fluctuations: A functional viewpoint

T Ayral, O Parcollet - Physical Review B, 2016 - APS
We present a formalism for strongly correlated systems with fermions coupled to bosonic
modes. We construct the three-particle irreducible functional K by successive Legendre …