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Graphene Nanoribbon Edge States

Interactive tight-binding simulator: build a finite zigzag or armchair graphene nanoribbon, diagonalize its real Hamiltonian, and watch which edge termination localizes electron states near zero energy.

Materials Science3DAdvanced60 FPS📱 Mobile-adapted⇄ 2D version

Cutting a sheet of graphene into a narrow ribbon does more than shrink it — the shape of the cut edge changes the electronic structure. This simulator constructs a finite honeycomb lattice with a real, adjustable nearest-neighbor tight-binding Hamiltonian, diagonalizes it exactly in the browser, and renders every eigenstate as a 3D probability-amplitude landscape over the carbon lattice. Switch between zigzag and armchair edge termination to see the textbook result: zigzag-terminated ribbons develop electron states that localize on the boundary rows near zero energy, while armchair-terminated ribbons of the same size do not.

⚙ Under the hood

Build a finite zigzag or armchair graphene nanoribbon, diagonalize its real tight-binding Hamiltonian, and watch electron states localize on zigzag edges near zero energy while armchair edges stay delocalized.

graphenenanoribbonedge statestight-bindingcondensed matterquantum

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