Cuprate superconductor

Cuprate superconductors are a family of high-temperature superconducting materials made of layers of copper oxides (CuO
2
) alternating with layers of other metal oxides, which act as charge reservoirs. At ambient pressure, cuprate superconductors are the highest temperature superconductors known.

Cuprates have a structure close to that of a two-dimensional material. Their superconducting properties are determined by electrons moving within weakly coupled copper-oxide (CuO
2
) layers. Neighbouring layers contain ions such as lanthanum, barium, strontium, or other atoms that act to stabilize the structures and dope electrons or holes onto the copper-oxide layers. The undoped "parent" or "mother" compounds are Mott insulators with long-range antiferromagnetic order at sufficiently low temperatures. Single band models are generally considered to be enough to describe the electronic properties.

The cuprate superconductors adopt a perovskite structure. The copper-oxide planes are checkerboard lattices with squares of O2− ions with a Cu2+ ion at the centre of each square. The unit cell is rotated by 45° from these squares. Chemical formulae of superconducting materials contain fractional numbers to describe the doping required for superconductivity.

Several families of cuprate superconductors have been identified. They can be categorized by their elements and the number of adjacent copper-oxide layers in each superconducting block. For example, YBCO and BSCCO can be referred to as Y123 and Bi2201/Bi2212/Bi2223 depending on the number of layers in each superconducting block (n). The superconducting transition temperature peaks at an optimal doping value (p=0.16) and an optimal number of layers in each block, typically three.

Possible mechanisms for cuprate superconductivity remain the subject of considerable debate and research. Similarities between the low-temperature state of undoped materials and the superconducting state that emerges upon doping, primarily the dx2−y2 orbital state of the Cu2+ ions, suggest that electron–electron interactions are more significant than electron–phonon interactions in cuprates  making the superconductivity unconventional. Recent work on the Fermi surface has shown that nesting occurs at four points in the antiferromagnetic Brillouin zone where spin waves exist and that the superconducting energy gap is larger at these points. The weak isotope effects observed for most cuprates contrast with conventional superconductors that are well described by BCS theory.