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 …

Superconductivity often emerges in the proximity of, or in competition with, symmetry-
breaking ground states such as antiferromagnetism or charge density waves,,,,(CDW). A …

X-ray techniques have been used for more than a century to study the atomic and electronic
structure in practically any type of material. The advent of correlated electron systems, in …

A hallmark of the phase diagrams of quantum materials is the existence of multiple
electronic ordered states, which, in many cases, are not independent competing phases, but …

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

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

The effects of fluctuations and disorder, which are substantially enhanced in reduced
dimensionalities, can play a crucial role in producing non-trivial phases of matter such as …

The enigmatic pseudogap phase in underdoped cuprate high-T c superconductors has long
been recognized as a central puzzle of the T c problem. Recent data show that the …

Correlated electron fluids can exhibit a startling array of complex phases, among which one
of the more surprising is the electron nematic, a translationally invariant metallic phase with …