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

🌀 Polaron Formation: Electron-Phonon Dressing

Explore how a conduction electron drags a cloud of lattice polarization behind it, forming a polaron, and see how coupling strength drives the crossover from mild mass enhancement to self-trapping.

Quantum Physics3DModerate60 FPS

The simulation shows a charge carrier moving through a deformable lattice, visualizing how the surrounding ions polarize into a trailing cloud whose depth and extent grow with coupling strength, transitioning from a light, mobile large polaron to a heavy, self-trapped small polaron.

🔬 What It Demonstrates

🎮 How to Use

Use the coupling-strength slider to tune alpha from weak to strong, and the temperature or lattice-stiffness slider to see how the polarization cloud and effective mass respond in real time.

💡 Did You Know?

In some polaronic oxides the effective mass can be enhanced by more than a factor of ten, meaning the polaron is effectively pinned in place unless it absorbs enough thermal energy to hop to a neighboring site.

⚙ Under the hood

Explore how a conduction electron drags a cloud of lattice polarization behind it, forming a polaron, and see how coupling strength drives the crossover from mild mass enhancement to self-trapping.

polaronelectron-phonon couplingcondensed matterquasiparticlelattice dynamicseffective massfroehlich modelself-trapping

3D · Three.js / WebGL renderer · 60 FPS target · runs fully client-side, no install