Home▸Quantum Physics▸Polaron Formation 2D: Electron-Phonon Dressing

🌀 Polaron Formation 2D: Electron-Phonon Dressing

A 2D Canvas companion to the 3D polaron lab: watch a lattice of ions polarize around a moving electron, and see how coupling strength drives the crossover from light large-polaron to heavy self-trapped small-polaron. ⇄ 3D version

Quantum Physics2DModerate60 FPS📱 Mobile-adapted
2d-polaron-formation-lab ↗ Open standalone

This is the 2D Canvas companion to the 3D Polaron Formation lab. It renders the same Froehlich-model physics — a moving electron dragging a polarization cloud through a lattice of ions — as a flat top-down view instead of a WebGL scene.

🔬 What It Demonstrates

How a charge carrier polarizes a surrounding ion lattice, with the depth and reach of the polarization cloud growing as coupling strength increases.

🎮 How to Use

Pick a material preset, drag the coupling slider, and watch effective mass and polaron radius update live as the lattice responds.

💡 Did You Know?

In strongly-coupled polaronic oxides the effective mass can rise more than tenfold, effectively pinning the electron in place.

⚙ Under the hood

Same real physics as the 3D lab: effective mass m*/m0 = 1/(1 − α/6 − α²/240), polaron radius r0/(1 + α/3), rendered with Canvas2D instead of Three.js.

polaronelectron-phonon couplingcondensed matterfroehlich model

2D · Canvas2D renderer · 60 FPS target · runs fully client-side, no install

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