
Interactions between electrons that affect their collective behavior in a material.Electronic correlations refer to the mutual influence electrons exert on each other beyond the average field. In simple metals, electrons move almost independently, but in many materials — transition metal oxides, organic conductors, high-temperature superconductors — their motions become entangled: the position and spin of one electron strongly affect its neighbors. This collective dance gives rise to emergent phenomena like magnetism, superconductivity, and metal-insulator transitions that cannot be explained by single-particle physics.
The concept emerged in the 1930s with Bloch and Wigner's work on electron interactions, but the modern framework was set by Mott in 1949 (Mott insulator) and Hubbard in 1963 with his model. The discovery of high-temperature superconductors in 1986 pushed correlations to the forefront of condensed matter physics.
When electrons are densely packed and their kinetic energy is low, the Coulomb repulsion dominates. This makes electrons avoid each other, creating spatial and spin patterns. The theoretical tool is the Hubbard model, which captures the competition between hopping (kinetic energy) and on-site repulsion. Strong correlations can lead to localization (Mott insulator), magnetic ordering, or pairing of electrons into Cooper pairs. Spectroscopic techniques like photoemission and optical conductivity reveal the fingerprints of these correlations in the material's excitation spectrum.
Understanding correlations is essential for designing high-temperature superconductors, spintronic devices, and quantum materials for future electronics.
In strongly correlated systems, electrons can effectively 'split' into separate quasiparticles — a spinon carrying spin and a holon carrying charge — that move independently through the crystal.












