concept

electronic correlations

Interactions between electrons that affect their collective behavior in a material.
27 related articles

Description

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.

History

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.

How it works

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.

In practice

Understanding correlations is essential for designing high-temperature superconductors, spintronic devices, and quantum materials for future electronics.

Fun fact

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.

Concept graph →

Related articles · 27

Atomic Route of the Insulator–Metal Transition Under a Light Strike
The camera captures not a race but a dance of atoms. In vanadium dioxide, the transition from an insulating to a metallic state occurs within trillionths of a second, yet until now no one had seen exactly how the vanadium and oxygen atoms move. Now, ultrafast electron diffraction has captured this route frame by frame.
A Map of Entanglement Instead of a Map of Atoms: Neural Network Reads Electronic Bonds
A cartographer who draws not mountains and rivers but invisible bonds between electrons: that's one way to describe the new neural network. Instead of atomic coordinates, it takes molecular orbitals and draws a graph where nodes are orbitals and edges are measures of their quantum entanglement.
A Magnetic Framework of Two Metals: Why Europium Follows the Field and Manganese Doesn't
The magnetic framework of the EuMnSb2 crystal resembles scaffolding: manganese atoms form rigid vertical pillars, while europium atoms act as movable crossbars. Until now, there was no consensus on the angle at which these crossbars rest and how they rotate when a magnetic field presses on the scaffold.
Mesoscale2026-08-161 minarXiv:2608.15596express
Optics2026-08-121 minarXiv:2608.12040express
How Electrons Jostle Each Other
Two electrons that leave a metal needle tip almost simultaneously start to repel each other, like two people trying to squeeze through a narrow door at the same time. The closer they are, the more they get in each other's way.
Superconductivity2026-08-091 minarXiv:2608.08498express
Electronic dance on the edge: how emptiness gives rise to superconductivity
An empty dance floor where people occasionally appear. Each moves on their own, chaotically, with no connection to the others. But when the right music starts and the hall cools down a bit, the dancers suddenly begin to form long chains and move in unison. That's roughly how electrons behave in a dilute three-dimensional gas.
Disordered Systems2026-08-051 minarXiv:2608.04762express
Three Fates of Quantum Echo
The quantum world does not forgive forgetfulness. Throw a stone into a pond — the ripples spread and vanish, the information about the impact dissipates without a trace. In quantum mechanics, everything is different: the evolution of a system is reversible, and the past is never completely erased.
Strongly Correlated2026-08-031 minarXiv:2608.02261express
The Superconductivity Dome: Why Pressure First Helps, Then Hinders
Under pressure, the layered crystal La₃Ni₂O₇ behaves like an orchestra where the conductor adjusts the volume of different instrument sections. Compression increases electron hopping between layers — which, one might think, should boost superconductivity. But at the same time, some electrons become too mobile.
Galaxies2026-07-272 minarXiv:2607.24929
Cosmic Cross-Pollination: How Galaxies Enrich Their Neighbors with Metals
In 1,433 pairs of galaxies scattered across the sky, astronomers noticed an unusual pattern. Neighbors located 'above' or 'below' a massive stellar system contain up to a quarter more oxygen than those lying in the plane of its disk.
Materials2026-07-262 minarXiv:2607.23625express
A Magnetic Sandwich That Can Take the Heat
A sheet of paper with magnetic properties: that's roughly what the new material 1T-CrS₂ is like. Its layers are held together by weak forces, like the pages of a notebook, but each layer is a true magnet.
Materials2026-07-042 minarXiv:2607.03706express
Triplet Pairs: A Quantum Dance Without Steps
Light hits an organic molecule, and inside, a pair of twin excitations is born. They're called triplet pairs. In single pentacene molecules, such pairs have long been known to share their energy with neighbors: this is the basis of singlet fission, which boosts the efficiency of solar cells.
Superconductivity2026-06-171 minarXiv:2606.18931express
Superconductivity Under Voltage: Current and Resistance Together
A superconductor is like an ideal highway with no traffic lights: electrons race along without hindrance. But apply a voltage, and the picture changes. In a new experiment, physicists found that an electric field penetrates the superconductor and creates a mixed regime inside.
Strongly Correlated2026-05-282 minarXiv:2605.30240express
A Spiral of Electrons Creates a Magnetic Filter
Run a current through a spring of organic molecules, and the electrons that come out are almost all spinning the same way. This trick is called chiral spin selectivity, and it has long puzzled physicists. In light atoms, spin (the particle's intrinsic rotation) is too weakly coupled to charge motion to achieve nearly perfect sorting.
Strongly Correlated2026-05-052 minarXiv:2605.03526express
How Crystal Shape Changes the Color of Electrons
If you change not the composition but only the arrangement of atoms, you can make the same material conduct electricity or absorb light differently. That's exactly what the authors did with nickel and cobalt oxides. In one case, atoms are stacked like balls in a cubic box: each metal atom is surrounded by six oxygen atoms (rock salt structure).
Materials2026-04-162 minarXiv:2604.15491express
Light Brings Order to Metal
A copper wire hit by a laser is like a kitchen where the chef turns on the stove and watches the stopwatch at the same time. Copper atoms start to dance, losing the order of the crystal lattice, while electrons, like waiters in the dining room, instantly feel the change. But how much disorder do they need to notice?
Materials2026-04-112 minarXiv:2604.10019express
Magnetic Knots at the Flick of a Switch
A fridge magnet stays put because the tiny atomic arrows inside it all point in the same direction. But when those arrows start to argue (some pulling left, others right, and some spinning like tops) you get magnetic frustration. That disorder gives rise to whimsical patterns: stripes, spirals, vortices.
Plasma Physics2026-03-301 minarXiv:2603.28241express
How Electrons Navigate Dense Argon
An electron flying through a gas is like a swimmer trying to cross a crowded pool. Each collision with an atom changes its course and speed. In dense argon gas, there are so many collisions that a simple description no longer works. Physicists measured electron mobility — how easily electrons drift under an electric field.
Strongly Correlated2026-03-291 minarXiv:2603.27682express
Magnetic Pattern from Vanadium Triangles
A woven basket made of willow twigs holds its shape thanks to the interweaving. A similar pattern, triangles linked into a flat network, has been found in a new crystal with the formula Cs₃V₉Te₁₃. Here, vanadium atoms form two sets of triangles that pierce each other like threads in fabric. This pattern is not just pretty: it forces electrons to move along special "flat" energy pathways.
Mesoscale2026-03-182 minarXiv:2603.17854express
Quantum Carbon Rings: Magnetism by the Rules of Aromaticity
A ring of magnetic atoms resembles a round dance where each participant holds hands with their neighbors. In ordinary magnets, each atom has its own permanent magnetic moment, and they interact like little arrows striving to align opposite to each other.
Plasma Physics2026-03-161 minarXiv:2603.14849express
Invisible Pathways Inside a Plasma Thruster
Water in a stream doesn't flow in a uniform sheet; it carves winding paths where the current runs faster. Electrons in a Hall thruster, a device that pushes a spacecraft with a jet of plasma, behave much the same way. Inside the thruster, a magnetic field confines electrons, which ionize the gas and produce thrust.
Applied Physics2026-03-072 minarXiv:2603.07243express
How Touch Sparks Electricity
When two different materials are pressed together and then pulled apart, a spark jumps between them. Anyone who has pulled off a wool sweater in the dark or gotten a shock from a doorknob knows the feeling. For a long time, it was thought that charges simply hop from one surface to another due to differences in material properties.
Quantum Physics2026-03-032 minarXiv:2603.03028express
Light That Picks a Side
A swarm of fireflies in a night forest flashes randomly: each beetle blinks on its own, and the light scatters equally in all directions. Now imagine the fireflies agreeing to blink so that their combined light goes only north — even though they stay put and none of them turns. That's roughly what physicists did with atoms inside a thin glass tube.
Chemical Physics2026-02-262 minarXiv:2602.23223express
How an Electron, Leaving a Molecule, Changes Its Shape
When light knocks an electron out of a molecule, the remaining electrons don't just sit still: they rearrange, like passengers in a train car when one gets off at a stop. In ordinary molecules, this rearrangement is barely noticeable, but in chiral molecules, mirror images like left and right hands, it can make the orbitals rotate.
Materials2026-02-081 minarXiv:2602.07826express
Vibration Wakes Up Crystals in Molten Metal
Molten metal is like an overcrowded hall where everyone is waiting for a signal to start dancing. Crystallization is that very moment when chaos turns into order. But to start the dance, you need a first step: the appearance of tiny crystal nuclei. Usually, this requires the metal to be cooled a lot. It turns out that a simple shake can replace some of that cooling.
Materials2026-01-081 minarXiv:2601.05018express
Watching a Material Change in Trillionths of a Second
Vanadium oxide is a material that can act as an insulator, not conducting electricity, or as a conductor, like a metal. The switch takes trillionths of a second, and that's what makes it a candidate for ultrafast electronic devices. But exactly how it happens has long been a mystery.
Strongly Correlated2026-01-042 minarXiv:2601.01531express
How Electronic Ice Melts
Electrons in a conductor usually behave like a gas: they dart around chaotically, collide, and don't hold formation. But if you spread them far apart and cool them down, their mutual repulsion can force them into place, like attendees in an overcrowded hall who settle into every other seat.
A Telegraph Through a Hidden Tunnel in Time
Two couriers leave the same city in opposite directions. An hour later, each opens an envelope: one contains a slip marked “plus,” the other “minus.” How did they know who would get which?