Resonating valence bond theory

Anderson observed in his 1987 paper that the origins of superconductivity in doped cuprates was in the Mott insulator nature of crystalline copper oxide.

[3] RVB builds on the Hubbard and t-J models used in the study of strongly correlated materials.

[4] In 2014, evidence showing that fractional particles can happen in quasi two-dimensional magnetic materials, was found by EPFL scientists[5] lending support for Anderson's theory of high-temperature superconductivity.

Shortly after the high-temperature superconductors were discovered, Anderson and Kivelson et al. proposed a resonating valence bond ground state for these materials, written as where

In a mean field approximation, the RVB state can be written in terms of a Gutzwiller projection, and displays a superconducting phase transition per the Kosterlitz–Thouless mechanism.

The RVB state with valence bond coupling of nearest-neighbor electrons.