Strongly Correlated cond-mat.str-el

A crowd in a square. At first, everyone spins to their own rhythm, but suddenly the music changes, and they all start moving in sync, as one. That's roughly how electrons behave in some metals: they either cling to magnetic impurities or break away and form a collective order.

In 1979, Su, Schrieffer, and Heeger proposed a model that explained the strange electrical properties of polyacetylene, an organic polymer that conducts electricity almost like a metal. Their chain consisted of carbon atoms connected alternately by single and double bonds.

The dance floor where magnetic moments and conduction electrons take turns leading and following: that is the Kondo lattice in the crystal V5S8.

Two actors on the same stage. One is a fermion, finicky and demanding, hard to make follow the rules of a quantum simulator. The other is a boson, easygoing and undemanding, ready to take any role. The director hopes the audience won't notice the substitution.

In a chain of cold spins stretched along a single line, order and disorder can intertwine into a pattern that defies the usual rules. Two states of matter, two kinds of "order," are separated by a crossroads where the roads do not converge but diverge.

In the concert hall of quantum theory, strict discipline long reigned: it was believed that operators, those performers of complexity, could only grow at a certain speed. The universal operator growth hypothesis stated that Lanczos coefficients, the numbers measuring an operator's growth rate, could not grow faster than linearly.

In 1867, James Clerk Maxwell imagined a demon that sorts gas molecules and thereby violates the second law of thermodynamics. The demon needs to know the speeds of the particles. In the quantum world, a similar task arises: keep entanglement from growing like an avalanche, but you cannot observe the entire system.

At 78 K, a crystal of Mn₃Si₂Te₆ turns into an inductor that needs neither copper wire nor a superconductor. The electrons inside it spontaneously organize into closed vortices with a definite sense of rotation: chiral orbital currents.

Deep inside a superconductor, electrons pair up into Cooper pairs and glide without resistance. But if a vortex appears in this perfect order, a tiny region where superconductivity vanishes, special excitations emerge there: Bogoliubov quasiparticles.

In the quantum world, noise usually destroys orderly behavior, like random jolts damping a pendulum. But on IBM quantum processors, physicists discovered the opposite: structured noise can prolong and even create rhythmic oscillations. It's like a pendulum that swings harder from seemingly chaotic yet internally synchronized pushes.

Ordinary wires: electrons jostle, lose energy, and heat up: that's resistance. In superconductors, some electrons pair up in sync, like dancers swirling without collisions. But these pairs hide: you can't see them directly, only infer their presence from flawless coordination.

Scientists have discovered that on a special triangular lattice, like a tightly woven carpet, particles freeze in place. They don't bump into neighbors or lose energy. Probability waves cancel out like opposing threads in a loom, locking the particle-knots tight.

Imagine a tiled floor whose pattern never repeats, like the famous Penrose tiling. On this floor, magnetic arrows, the spins of electrons, perform a chaotic dance, giving rise to a quantum spin liquid.

Imagine a stack of pancakes where each pancake is magnetized, but the magnetization directions in adjacent pancakes are opposite. That's exactly how this new magnetic material is arranged: in each atomic layer, all magnetic moments — the atom's 'arrows'—point in one direction, while the next layer is magnetized in the opposite direction.

The law discovered by Wolfgang Pauli forbids identical particles from occupying the same spot. Hence, in cold matter, a Fermi sea is born: particles, like water, fill energy levels from bottom to top. The shape of the sea's surface — including 'islands' of emptiness — dictates the properties of the whole system.

In the TiSe2 crystal, electrons behave like compass needles that suddenly start pointing in the same direction. This is called a nematic state — by analogy with liquid crystals, where molecules align along a common direction even though the material itself remains liquid.

The tiny magnetic arrows inside a crystal of terbium-iridium oxide behave strangely: instead of lying along their preferred axis, they stand across it. This state fully forms when cooled to 1.5 Kelvin — colder than outer space. Researchers probed the crystal with neutrons and observed how these flipped arrows oscillate and exchange energy.

Dancers hold hands and move in perfect sync. In an excitonic insulator, electrons and holes form bound pairs that condense into a single quantum state, like dance partners who never miss a step. But what happens when one of them stumbles?

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.

In the tungsten bronze family, one material was considered the quiet one. When cooled, its siblings rearrange their electrons into wave-like patterns, but it did not, or so it was thought until recently. Now it turns out that this material also undergoes rearrangement.

In the crystal La₂₋ₓSrₓCuO₄, at a certain composition, two states coexist: superconductivity, where electrons move without loss, and a charge-density wave — a periodic bunching of electron density. These states compete for the same electron clouds, which resemble cross-shaped petals.

Our Universe may have arisen from a highly unstable state that physicists call the false vacuum. Imagine a glass of water cooled below its freezing point: the liquid remains liquid only until the first jolt, which instantly triggers crystallization into ice.

In every handful of fertile soil, there are bacteria that do something no factory can: they take nitrogen straight from the air and turn it into fertilizer. The secret lies in the enzyme nitrogenase, and its working core, a cluster of iron and molybdenum atoms, looks like a tiny factory floor. Chemists have long tried to understand how this factory works from the inside.

At a temperature of 4.3 degrees above absolute zero, a crystal of palladium telluride stops resisting electric current. Electrons pair up and move without loss, like a crowd holding hands. But this superconductor seems to have not one but two different ways of pairing.

In a conventional superconductor, electrons team up into pairs that stay put: their total momentum is zero. But sometimes it's different: pairs gain a shared momentum and start moving, like a school of fish swimming against the current. This state is called a pair density wave, and it's very finicky: it needs special conditions.

Graphene is a sheet of carbon one atom thick. If you cut it into narrow strips, you get graphene nanoribbons. Their properties depend on how the strip is cut: just as from a single piece of fabric you can sew both a smooth tablecloth and a pleated skirt. In the new work, chemists assembled a ribbon of asymmetric shape.

A quantum computer is like a pot of boiling water: particles are jostling around chaotically, and you need to calm them down to get a useful answer. In a new study, physicists have devised a way to cool a chain of 19 quantum spins (tiny magnets) right on a real device.

An ordinary magnetic compass freezes when lightning strikes nearby. A sudden jump in the magnetic field throws the needle off. A similar problem has been hindering scientists trying to measure magnetism in strong pulsed fields: those that switch on for a thousandth of a second. The new setup tackles this with a laser beam.

Metals are full of free electrons: they dart between atoms like a swarm of bees around a hive. If you poke such a metal with a thin magnetic filament, the electrons start to feel its field. A new calculation shows they don't just go around the field; they trap it inside, like a cork sealing water in a bottle.

Electrons in a metal are like a crowd in a subway: each on their own, but at the slightest push, everyone moves at once. Physicists call this collective oscillation of the electron gas a plasmon. In superconductors, these oscillations are especially important because they reveal how electrons interact with each other.

The crystal of RbMn6Bi5 resembles a five-story building of manganese atoms, where the residents on each floor form a pentagon. At room temperature, the magnetic moments of the atoms fluctuate chaotically, like compass needles during a magnetic storm.

A quantum computer made of trapped ions played the role of a tiny universe. In it, particles didn't just move; they wove into knots that change their properties when swapped. Such knots are called Fibonacci anyons: they aren't ordinary particles but rather vortices in the fabric of space.

Imagine a superhighway where cars zoom along with barely a slowdown: that's what a layer of ultraclean semiconductor looks like, where electrons travel vast distances without a single collision. Scientists have built a transistor in which electrons run twice as fast as in any similar device before.

When cooled to -272°C, the Fe₄Nb₂O₉ crystal turns into a magnetic pattern where atomic arrows don't line up in a single row but fan out. It's like a crowd frozen in place, but each person looks in their own direction rather than at the back of the neighbor's head.

If you force water through a narrow neck, the flow speeds up right at the edge, and a whirlpool forms behind the obstacle. Electrons in ultra-clean two-dimensional materials, such as a thin layer of graphene, behave in much the same way.

Atoms in a crystal usually sit in their designated spots, like passengers on a plane with assigned seats. But in this material, copper and tantalum have taken their places randomly, as if the tickets got mixed up. Scientists peered into the crystal using X-rays and saw that the disorder is not just on paper but in the actual arrangement of atoms.

In a superconductor, electric current flows without loss, like water through a perfectly smooth pipe. But if you place such a material in a magnetic field, vortices appear inside — tiny whirlpools where superconductivity is destroyed. As long as these whirlpools stay put, current flows freely.

An ordinary superconductor works only in nature's freezer — at temperatures below minus one hundred degrees. The carbon-ball material K₃C₆₀ is no exception: without cold, it resists current like a crowd in a narrow corridor. But physicists noticed something strange: if you shine a laser on it, it starts conducting without loss even in warmth.

A chef tastes the soup to see how much salt is in the pot. Physicists did something similar with crystals: they aimed X-rays at them and, from how the rays scattered, calculated how 'spread out' the electrons are in chemical bonds. In diamond, carbon atoms are held together by shared electrons, like two people sharing one blanket.

In a manganese fluoride crystal, atoms are lined up like soldiers in formation. But within this formation lies a hidden pattern: the magnetic moments of the atoms point in opposite directions, and the pattern itself changes when the crystal is rotated.