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 …

We review the physics of pair-density wave (PDW) superconductors. We begin with a
macroscopic description that emphasizes order induced by PDW states, such as charge …

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

One of the most intriguing features of some high-temperature cuprate superconductors is the
interplay between one-dimensional “striped” spin order and charge order, and …

Variational studies of the tJ model on the square lattice based on infinite projected-
entangled pair states confirm an extremely close competition between a uniform d-wave …

The quantum condensate of Cooper pairs forming a superconductor was originally
conceived as being translationally invariant. In theory, however, pairs can exist with finite …

Studies of the electromagnetic response of various classes of correlated electron materials
including transition-metal oxides, organic and molecular conductors, intermetallic …

Nonlinear optical excitation of infrared active lattice vibrations has been shown to melt
magnetic or orbital orders and to transform insulators into metals. In cuprates, this technique …

The electronic phase diagrams of many highly correlated systems, and, in particular, the
cuprate high temperature superconductors, are complex, with many different phases …