One can no longer consider any electron in the material as being in a ' sea' of the averaged motion of the others (also known as mean field theory). Typically, strongly correlated materials have incompletely filled d- or f- electron shells with narrow energy bands. Other ordering or magnetic phenomena and temperature-induced phase transitions in many transition-metal oxides are also gathered under the term 'strongly correlated materials.' The single most intensively studied effect is probably high-temperature superconductivity in doped cuprates, e.g. high-T c, spintronic materials, multiferroics, Mott insulators, spin Peierls materials, heavy fermion materials, quasi-low-dimensional materials, etc. Many transition metal oxides belong to this class which may be subdivided according to their behavior, e.g. As of recently, the label quantum materials is also used to refer to strongly correlated materials, among others. Theoretical models of the electronic ( fermionic) structure of strongly correlated materials must include electronic ( fermionic) correlation to be accurate. The essential feature that defines these materials is that the behavior of their electrons or spinons cannot be described effectively in terms of non-interacting entities. Strongly correlated materials are a wide class of compounds that include insulators and electronic materials, and show unusual (often technologically useful) electronic and magnetic properties, such as metal-insulator transitions, heavy fermion behavior, half-metallicity, and spin-charge separation. The perovskite structure of BSCCO, a high-temperature superconductor and a strongly correlated material.

Materials with electrical properties that cannot be explained by non-interacting entities

Biermann emergent phenomena