concept

fermi liquid

A model of interacting electrons in a metal where they behave as quasiparticles.
28 related articles

Description

Fermi liquid theory is a theoretical framework that describes the behavior of interacting electrons in metals at low temperatures. It was developed by Lev Landau in the 1950s and posits that, despite strong electron-electron interactions, the system can be described in terms of weakly interacting 'quasiparticles' — electrons dressed by their interactions with the surrounding medium. These quasiparticles have the same quantum numbers as free electrons but with renormalized mass and magnetic properties.

History

Lev Landau introduced the concept in 1956–1958 in a series of papers on the theory of Fermi liquids. The framework was later extended by others, including A. A. Abrikosov and I. M. Khalatnikov, and remains a cornerstone of condensed matter physics.

How it works

The key insight is adiabatic continuity: as interactions are gradually turned on, the ground state of the non-interacting electron gas evolves smoothly into the interacting ground state, and the excited states map onto quasiparticle excitations. These quasiparticles have a long lifetime near the Fermi surface (the boundary between occupied and empty electron states) because scattering is suppressed by Pauli exclusion and phase-space constraints. The theory predicts specific temperature and frequency dependencies for properties like specific heat, electrical resistivity, and magnetic susceptibility, which serve as experimental signatures.

In practice

Fermi liquid theory is used to interpret experiments on metals, including measurements of heat capacity, conductivity, and magnetic response. It also serves as a baseline for identifying non-Fermi liquid behavior, which is a hallmark of exotic materials like high-temperature superconductors and heavy-fermion compounds.

Fun fact

The theory's predictions for the temperature dependence of resistivity — a T² term at low temperatures — are used as a diagnostic to detect deviations from standard metallic behavior in materials like the vanadium compounds studied in the article 'Танец магнитов под давлением: квантовый переход в ванадиевых соединениях'.

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Related articles · 28

A Radio Receiver for Electrons: Catching a Signal from the Quantum Critical Point
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Strongly Correlated2026-08-042 minarXiv:2608.04098express
Strange Metal: When Pollen and Wind Get Tangled Together
The wind carries pollen, and each grain moves as if on its own. But once the air swirls into a vortex, the pollen trajectories can no longer be separated: they are tangled. This is roughly how electrons behave in a strange metal: their motion is so strongly coupled to soft fluctuations of the medium that the usual particle carriers disappear.
Strongly Correlated2026-07-212 minarXiv:2607.19465express
Quantum semimetal: electron and spin ghost
Electrons in a solid usually either run freely (metal) or are locked in place (insulator). But sometimes strong mutual repulsion locks them into a halfway state: charges stand still, while spins, tiny magnetic arrows, continue to live their own life. This is called a Mott insulator.
Molecule as a Wire: Chemistry Dictates the Current's Path
A molecule works like a marketplace: electron shoppers enter through two gates (contacts) and head for stalls with the most attractive goods — the chemically active spots. Previously, current was thought to spread evenly, but it turns out up to 90% of all flow rushes through these 'hot spots'. Reactive centers become superconducting highways inside the molecule.
The Hidden Wind of Neutron Stars: How Neutrons Propel Magnetic Vortices
The interiors of neutron stars are a realm of degenerate matter. Here, protons condense into a superconducting condensate, threaded by quantum vortices. Imagine tiny magnetic tops: each carries a quantum of magnetic flux and glides through the electron fluid.
Superconductivity2026-06-192 minarXiv:2606.21166express
How the Geometry of Electron Orbits Gives Rise to Superconductivity
In a long corridor, a crowd of people tries to keep as far apart as possible. In a spacious hall, they would simply spread out, but here the walls squeeze them so tightly that they have to move single file, coordinating every step. Electrons in graphene layers twisted by a tiny angle behave in a similar way.
Quantum Gases2026-06-192 minarXiv:2606.21567express
How a foreign particle in a quantum sea learns to walk
A pebble falls into a pond, and ripples spread across the water. In the quantum world, the pond is not made of water but of many identical particles, and the pebble is also a particle, just a foreign one. Such a foreign particle is called a Fermi polaron.
Quantum Gases2026-06-172 minarXiv:2606.19444express
How to See Invisible Fermions with Chameleon Atoms
The quantum world is full of transformations. Sometimes a system made of one type of particle starts behaving as if it harbors completely different ones. For example, in a chain of bosons, sociable particles that like to crowd into the same state, fermions from the Standard Model may unexpectedly appear, even though they usually keep to themselves.
Superconductivity2026-06-071 minarXiv:2606.08643express
Magnetism and Superconductivity: An Unexpected Alliance
Using laser spectroscopy — a method akin to listening to the echo from a crystal — physicists examined the layered material. They found regions where electrons move freely (Fermi pockets) and noticed that each such region behaves in its own way.
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Neutrinos Don't Want to Get Married
A swarm of fireflies rarely collides, yet they synchronously change color by exchanging signals. This is how neutrinos behave in dense streams from collapsing stars: they collectively transform from one type to another, even though individually they interact extremely weakly.
Quantum Gases2026-05-142 minarXiv:2605.14909express
Atomic pas de deux, amplified by a jolt
The dance floor is packed: everyone moves on their own, no one holds hands. Suddenly the music gets louder and more rhythmic — neighbors start grabbing each other, forming pairs that spin in sync. That's roughly what the experiment looked like in the lab, where a cloud of lithium atoms, cooled to near absolute zero, was made to suddenly strengthen its mutual attraction.
Mesoscale2026-05-092 minarXiv:2605.08643express
When Two Currents Merge into One
Sunlight hits a silicon wafer, and a current flows in the circuit. That's the familiar work of a solar cell: light knocks out electrons, and a p–n junction (the boundary between two layers with different conductivities) forces them to move in one direction. But in some crystals, current arises differently — without any junctions, purely from the material's internal structure.
Quantum Gases2026-04-242 minarXiv:2604.22955express
The Superconductor Kitchen: A Recipe of Light and Atoms
An orchestra where every musician plays their own part, and the conductor tries to catch the overall melody. That's roughly how physicists view electrons in cuprates — ceramic materials that conduct electricity without resistance at temperatures above liquid nitrogen.
Strongly Correlated2026-04-182 minarXiv:2604.17103express
Order That Doesn't Interfere: Topology in a Thin Film
A mosaic floor made of many small tiles, each turned in a different direction. It seems that any pattern trying to cross such a floor would get scrambled and vanish. That's how people usually think about disorder in crystals: if atoms aren't arranged in a perfect lattice, delicate quantum effects should fall apart.
Strongly Correlated2026-04-172 minarXiv:2604.15935express
Chromium Pairs Squeeze Superconductivity
The dance floor is packed with people, each moving on their own. Suddenly, some of them break into pairs (spinning around, barely noticing their neighbors) while the rest line up in chains. That's roughly how atoms behave in the metal CsCr₃Sb₅, a member of the kagome metals, whose crystal lattice resembles a woven basket.
Superconductivity2026-04-122 minarXiv:2604.10621express
Superconductors at the Quantum Brink
A superconductor is a material through which current flows without loss, like water through a perfectly smooth pipe. But to make the pipe perfect, you have to cool it to very low temperatures. Physicists have long been looking for ways to make such a pipe at warmer temperatures, and one clue is the quantum critical point.
Mesoscale2026-04-081 minarXiv:2604.07174express
A Molecular Magnet with a Dual Personality
A tiny magnet, made from just two molecules, was placed on a metal surface, and it behaved like a temperamental conductor. Normally, electrons in a metal move in a coordinated way, like a crowd on an escalator. But when cooled significantly, this order breaks down, and the motion becomes unpredictable.
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.
How Electrons Splash in a Hot Liquid
Inside a piece of metal, electrons don't sit still: they move like water in a river. But you can't see this motion directly; it's too fast and too small. Scientists devised a workaround: they take 'frozen snapshots' of the electron liquid at different temperatures, then reconstruct how the electrons moved from those snapshots.
How to Feel an Invisible Boundary Between Two Liquids
The boundary between two liquids is like an invisible skin: it's there, but you can't touch it with your finger. Scientists have found a way to measure its elasticity without touching it. They made a tiny probe oscillate above the surface, and between the probe and the interface lay a thin film of liquid.
Strongly Correlated2026-03-182 minarXiv:2603.17937express
Phonon dampers break the usual physics of metals
A metal is a sea of electrons that move almost freely, colliding only occasionally. But in some materials, this sea suddenly becomes viscous and unpredictable: electrons stop behaving like independent particles. Physicists call this state 'non-Fermi liquid,' and it remains a puzzle.
Applied Physics2026-03-131 minarXiv:2603.12923express
Liquid Crystal Radio Wave Sensor
Radio waves surround us, but our eyes can't see them. This new sensor, the size of a fingernail, turns them into a colored patch on a tiny screen. Inside the chip is a layer of liquid crystals — the same kind used in phone displays. Among them are embedded thin ferromagnetic nanowires. When a radio wave arrives, the nanowires heat up quickly.
Quantum Gases2026-03-091 minarXiv:2603.08691express
When Atoms Decide to Sing in Chorus
Physicists trapped a cloud of lithium atoms between mirrors. Light bounces inside, like in an echo chamber, forcing the atoms to emit synchronously — resulting in superradiance, akin to a choir where voices merge into a single thunder. Like a stadium chanting in unison: each whisper turns into a deafening rhythm. The secret is density.
Strongly Correlated2026-03-041 minarXiv:2603.04138express
Invisible Electron Pathways in a Thin Film
A sheet of paper hundreds of times thinner than a human hair: that's roughly the thickness of the vanadium oxide film scientists grew. Inside this film, electrons, the tiny carriers of electric current, move almost without collisions. Like cars on an empty night highway, they accelerate and don't lose speed.
Strongly Correlated2026-02-161 minarXiv:2602.15025express
Magnetic Patterns on a Tiny Sphere
On the surface of a tiny sphere, electrons line up in patterns that look like ripples on water. Physicists have long noticed that this simple picture describes the behavior of quantum systems with surprising accuracy. But why it works has remained a mystery. The authors of a new study have unraveled the mathematical mechanism behind this model.
Mesoscale2026-02-121 minarXiv:2602.11963express
A Crystal That Melts by the Book
A layer of electrons trapped between two semiconductor plates lines up into a neat lattice at low temperatures, like beads on a string stretched between your fingers. As the temperature rises, order collapses: the crystal melts. But exactly how it melts has long been a puzzle.
Quantum Gases2025-11-041 minarXiv:2511.02218express
Quantum Patterns from Chaos: How Disorder Gives Birth to Solid Flow
The Penrose tiling, assembled from two types of tiles, covers a plane without a repeating pattern — a mathematical marvel discovered by Roger Penrose that has found physical embodiment in the quantum world. Researchers modeled a chain of particles interacting according to a rule reminiscent of Fibonacci numbers and the golden ratio.
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