The physics of quantum materials is dictated by many-body interactions and mathematical
concepts such as symmetry and topology that have transformed our understanding of matter …

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 pair density wave (PDW) is an extraordinary superconducting state in which Cooper
pairs carry non-zero momentum,. Evidence for the existence of intrinsic PDW order in high …

Exotic quantum phenomena may appear in material systems with multiple orders or phases,
where the mutual interactions can give rise to new physics beyond that of each component …

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 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 …

Although the vast majority of high-T c cuprate superconductors are hole-doped, a small
family of electron-doped compounds exists. Underinvestigated until recently, there has been …

Tunneling spectroscopy has played a central role in the experimental verification of the
microscopic theory of superconductivity in classical superconductors. Initial attempts to apply …

Charge density wave (CDW) correlations have been shown to universally exist in cuprate
superconductors. However, their nature at high fields inferred from nuclear magnetic …