The repulsive Hubbard model has been immensely useful in understanding strongly
correlated electron systems and serves as the paradigmatic model of the field. Despite its …

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 …

Competing inhomogeneous orders are a central feature of correlated electron materials,
including the high-temperature superconductors. The two-dimensional Hubbard model …

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 …

The structures, the phase diagrams, and the appearance of a neutron resonance signaling
an unconventional superconducting state provide phenomenological evidence relating the …

Strong electron correlations lie at the origin of high-temperature superconductivity. Its
essence is believed to be captured by the Fermi-Hubbard model of repulsively interacting …

The Monte Carlo evaluation of path integrals is one of a few general purpose methods to
approach strongly coupled systems. It is used in all branches of physics, from QCD and …

The “sign problem”(SP) is a fundamental limitation to simulations of strongly correlated
matter. It is often argued that the SP is not intrinsic to the physics of particular Hamiltonians …

Metal-insulator transitions are accompanied by huge resistivity changes, even over tens of
orders of magnitude, and are widely observed in condensed-matter systems. This article …

We review the dynamical mean-field theory of strongly correlated electron systems which is
based on a map** of lattice models onto quantum impurity models subject to a self …