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 …

Electrodynamics of correlated electron materials

DN Basov, RD Averitt, D Van Der Marel, M Dressel… - Reviews of Modern …, 2011 - APS
Studies of the electromagnetic response of various classes of correlated electron materials
including transition-metal oxides, organic and molecular conductors, intermetallic …

Electronic structure calculations with dynamical mean-field theory

G Kotliar, SY Savrasov, K Haule, VS Oudovenko… - Reviews of Modern …, 2006 - APS
A review of the basic ideas and techniques of the spectral density-functional theory is
presented. This method is currently used for electronic structure calculations of strongly …

Electronic structure calculations using dynamical mean field theory

K Held - Advances in physics, 2007 - Taylor & Francis
The calculation of the electronic properties of materials is an important task of solid-state
theory, albeit particularly difficult if electronic correlations are strong, eg, in transition metals …

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 …

How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+δ

Y Kohsaka, C Taylor, P Wahl, A Schmidt, J Lee, K Fujita… - Nature, 2008 - nature.com
The antiferromagnetic ground state of copper oxide Mott insulators is achieved by localizing
an electron at each copper atom in real space (r-space). Removing a small fraction of these …

Pseudogap induced by short-range spin correlations in a doped Mott insulator

B Kyung, SS Kancharla, D Sénéchal… - Physical Review B …, 2006 - APS
We study the evolution of a Mott-Hubbard insulator into a correlated metal upon do** in
the two-dimensional Hubbard model using the cellular dynamical mean-field theory. Short …

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 …