Moiré Trap Potential & Exciton Hopping (2D)

This 2D companion to the interlayer-exciton simulator computes the same twisted MoS₂/WSe₂ heterobilayer a genuinely different way. Rather than placing excitons on a hexagonal grid by geometric construction, it builds the real corrugated moiré potential landscape from the three shortest Fourier components of the moiré reciprocal lattice, then integrates real overdamped Langevin dynamics for a population of trapped excitons diffusing and hopping between wells in that landscape. A grid search locates every potential minimum and confirms their spacing reproduces the same moiré period λ used by the 3D sim, while the measured hopping rate — counted directly from the running stochastic simulation — is checked live against a Kramers-type activated-rate estimate built from the trap's curvature and barrier height. Adjust twist angle, interlayer separation, out-of-plane field and exciton density to watch the trap lattice, its depth, and the resulting hop rate respond together.