concept

strain

Mechanical deformation in a crystal that alters the local properties of defects.
23 related articles · 1 formulas

Description

Strain is the mechanical deformation of a material — a change in shape or size under applied stress. In crystals, strain is not just a structural detail; it alters the local electronic, magnetic, and optical properties, especially around defects. The articles in this corpus show strain as a powerful tuning knob: a carbon film becomes superconducting when stretched, a magnet is born from bending, and dark excitons in tungsten diselenide respond to deformation. Strain engineering has become a standard technique to create or modify material properties without changing composition.

History

The concept of strain in crystals dates back to the 19th century with the development of elasticity theory by Cauchy and others. The modern era of strain engineering began in the 1990s with the use of strained silicon in microelectronics.

How it works

When a crystal is stretched, compressed, or bent, the distances between atoms change. This alters the overlap of electron orbitals, which in turn shifts energy bands, changes effective masses, and can even induce phase transitions. Around defects, strain fields can trap or repel quasiparticles, modify their dynamics, or create local potential wells. In thin films, strain can be applied deliberately by growing the film on a substrate with a slightly different lattice constant, or dynamically by bending the substrate.

In practice

Strain engineering is used to boost the performance of transistors, create single-photon emitters in semiconductors, and enhance the critical temperature of superconductors.

Fun fact

A single layer of carbon atoms (graphene) can be stretched by up to 20% before breaking, and this strain can turn it into a superconductor.

Concept graph →

Formulas

$$h_0 = \frac{4\pi^2 G}{c^4} \frac{\varepsilon I_{zz} f_{\rm GW}^2}{d}$$
The amplitude of gravitational waves from a rotating ellipsoid.
What is in the formula
h_0variablegravitational wave strain amplitude — strain
εvariableellipticity — ellipticity
I_zzvariablemoment of inertia about rotation axis — moment of inertia kilogram metre squared
f_GWvariablegravitational wave frequency — frequency hertz
dvariabledistance to source — distance metre
GconstantNewton's constant of universal gravitation — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared
cconstantSpeed of light in vacuum — speed of light = 299792458 metre per second

Related articles · 23

Mesoscale2026-09-022 minarXiv:2609.02723
Twisting as the Key to Two Locks of One Material
A door lock with two different keys: one turns easily, the other demands noticeable effort. That is how two layers of hexagonal boron nitride behave when twisted relative to each other. This material consists of boron and nitrogen atoms arranged in a hexagonal lattice, and its layers can sit in different registries, like two identical grids shifted by different angles.
Optics2026-08-092 minarXiv:2608.08899express
Light Switches Crystal Without Heating
A stack of playing cards lies still. You can slide the top card with your finger: that's crude intervention. Or you can blow so that the whole stack momentarily changes shape, but the cards don't scatter. That's roughly how light, in a new experiment, rearranges a crystal of tin selenide (SnSe). Usually, to change the structure of a solid, you heat it or pass a current through it.
Mesoscale2026-08-032 minarXiv:2608.02513express
How Strain Alters the Run of Dark Particles in a Crystal
In a two-dimensional crystal of tungsten diselenide (WSe₂), light creates pairs — an electron and a hole that stick together. Such pairs are called excitons. Among them are "dark" ones: they barely emit, but they set the tone at low temperatures.
Quantum Physics2026-06-091 minarXiv:2606.11485express
How to Gently Squeeze a Quantum Chip Without Breaking It
A sugar cube squeezed between your fingers will almost certainly crumble rather than compress evenly. A similar challenge faces quantum computer builders. They need to slightly stretch or compress miniature silicon plates — qubits are later placed on them.
Quantum Physics2026-05-061 minarXiv:2605.05343express
How Atoms Agree to Glow in Turns
When many excited atoms are gathered together, they often fire light in concert, like a crowd clapping in rhythm. This well-known phenomenon is called Dicke superradiance. But the authors of the new study asked: what happens if the atoms are not identical and each one feels its neighbors?
Mesoscale2026-04-261 minarXiv:2604.23713express
Disorder Traps Sound
Imagine a long corridor with an uneven floor: bumps here, pits there. If you roll a toy car along it, it will get stuck in the deepest pit, not where you gave it a push. That's roughly how sound behaves in a phononic crystal — a material made of periodically arranged elements that controls the propagation of elastic waves.
Mesoscale2026-04-242 minarXiv:2604.22650express
How to Stretch a Germanium Atom to Make a Quantum Bit Sing
A quantum computer is like an orchestra where each musician is an electron spin: its tiny magnetic moment. For the orchestra to play in harmony, the conductor must hear each musician individually.
Materials2026-04-131 minarXiv:2604.11397express
How Metal Gets Stronger: The Dance of Defects
When you pull on a piece of metal, it changes shape and simultaneously becomes stronger. The secret lies in tiny defects in the crystal lattice called dislocations. They are like wrinkles in a rug: moving a wrinkle shifts the rug more easily than dragging the whole rug.
Materials2026-03-291 minarXiv:2603.27876express
Atomic Order Changes Crystal Color
A crystal of germanium with tin is like a mosaic where each tile is an atom. If you lay the tiles randomly, the mosaic has one color, but if you arrange them in a pattern, it has another. Physicists measured how the atomic pattern changes a semiconductor's most important property: its band gap, that is, the energy needed to get an electron moving and creating current.
Materials2026-03-272 minarXiv:2603.26229express
Ferroelectric Switched by Far-Infrared Light
A barium titanate crystal is like a crowd where everyone holds a pointer. Normally, the pointers face in random directions, but when you apply an electric field, they all snap to point the same way. This ordered state is called ferroelectric: it stores information the way a compass needle stores direction.
Tissues Find Their Rhythm
A piece of dough, when pulled from the sides, doesn't stretch evenly: in one spot it thins and tears. Living tissue behaves similarly, but instead of a tear, shear bands appear — narrow zones where cells begin to slide past each other, like cards in a deck when cut.
Materials2026-03-051 minarXiv:2603.05242express
Ion Beam Turns Film into Magnetic Pattern
A beam of charged particles, like a fine pen, draws an invisible pattern on a metal film. Where it touches, the material changes its internal atomic order: from a close-packed arrangement, like a pyramid of oranges in a crate, the atoms rearrange into a looser one, like cubes stacked in a box.
Applied Physics2026-03-021 minarXiv:2603.02433express
Mechanical Memory: How to Make a Wave Get Stuck and Move On
If you compress a plate with accordion-like cells, a kink wave runs through it, like a wrinkle in a rug when you push it with your foot. Such waves can switch the material between two stable shapes, and this is the basis of mechanical memory. But if a table leg gets in the way of the wrinkle, it gets stuck. In a new study, researchers showed how to nudge it loose without brute force.
Superconductivity2026-03-011 minarXiv:2603.00954express
How a Dash of Tin Turns a Film into an Insulator
A thin film of niobium and tin conducts electricity without resistance — until you make it really thin. Then it suddenly becomes an insulator. A team of physicists tested what happens when you add a bit more tin to the film than the formula calls for.
Materials2026-02-261 minarXiv:2602.23494express
A Magnet Born from Bending
A piece of gold doesn't attract paperclips. But if you take a thin film of a gadolinium-gold-germanium alloy and start bending it, magnetic regions can appear. Scientists did this not with their hands, but with a beam of helium ions that penetrated the material through a patterned mask.
The Glass That Breaks by a Single Law
Glass is a material with attitude. It seems fragile, but powerful invisible forces can live inside it. In chemically strengthened glass, the surface is compressed like a stretched rubber band, while the interior is stretched. When a fast object hits such glass, that rubber band snaps in many places at once. Scientists fired projectiles at glass and watched how it shattered.
Materials2026-02-211 minarXiv:2602.18954express
Crack in Metal: Why 3D-Printed Parts Fail Sooner
A metal part grown on a 3D printer looks indistinguishable from a forged one. But when load is applied, a very different story unfolds inside. A synchrotron X-ray beam is like a microscope that sees through steel and reveals what's happening right at the crack tip. In ordinary forged steel, a crack blunts before it can propagate further.
Materials2026-02-141 minarXiv:2602.13924express
Stretching a crystal changes its sound
The crystal Ca2RuO4 resembles a stack of thin sheets. Inside each sheet, the electron spins are arranged in strict order, like rows of soldiers on a parade ground. The bonds between the sheets are weak, and their sign can be flipped by slightly pulling the crystal apart.
Materials2026-02-101 minarXiv:2602.10372express
Stretched film reshapes magnetic pattern
A thin film of iron oxide SrFeO3 sits on a substrate that slightly stretches it. Inside the film, the magnetic moments of atoms twist into a spiral, like a spiral staircase. The strain changed that staircase: the step became shorter, and the axis itself tilted. The reason lies in oxygen.
Materials2026-01-252 minarXiv:2601.17959express
Oxide membranes learn to remember
A thin film of metal oxide lies on a surface with a tiny pit. If you gently compress the film from the sides, it won't crumple — instead, it will bow downward into the pit or bulge upward like a hump. Both positions are stable, like a canning jar lid that is either concave or convex and doesn't flip back and forth on its own.
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.
Superconductivity2026-01-031 minarXiv:2601.01100express
Stretching a carbon sheet turns it into a superconductor
A thin sheet of carbon, resembling an intricate mesh of triangles, hexagons, and octagons, lies on a substrate. By itself, it is not superconducting: electrons move through it haphazardly, bumping into atoms. But stretch the sheet evenly, like canvas on a frame, and the picture changes.
Materials2026-01-011 minarXiv:2601.00261express
Stress in Diamond Becomes Visible
Diamond crystals harbor invisible cracks — dislocations. These are places where rows of atoms are shifted, like a sheet of paper pulled halfway out of a stack. Stress builds up around these spots, affecting how the material breaks, bends, or conducts electricity.