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 …

Scanning probe microscopy (SPM), a key invention in nanoscience, has by now been
extended to a wide spectrum of basic and applied fields. Its application to basic science led …

Bilayer graphene can be modified by rotating (twisting) one layer with respect to the other.
The interlayer twist gives rise to a moiré superlattice that affects the electronic motion and …

The discovery of high-temperature superconductivity in the copper oxides in 1986 triggered
a huge amount of innovative scientific inquiry. In the almost three decades since, much has …

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 …

Besides superconductivity, copper-oxide high-temperature superconductors are susceptible
to other types of ordering. We used scanning tunneling microscopy and resonant elastic x …

The understanding of the origin of superconductivity in cuprates has been hindered by the
apparent diversity of intertwining electronic orders in these materials. We combined …

This article reviews the physics of high-temperature superconductors from the point of view
of the do** of a Mott insulator. The basic electronic structure of cuprates is reviewed …

Charge density modulations have been observed in all families of high–critical temperature
(T c) superconducting cuprates. Although they are consistently found in the underdoped …

The spectral energy gap is an important signature that defines states of quantum matter:
insulators, density waves and superconductors have very different gap structures. The …