Quantum particles in a disordered lattice become exponentially localized. In 1D, any disorder localizes all states. Explore how disorder strength W controls the localization length ξ.
ψ(n+1) = (E − εₙ)ψ(n) − ψ(n−1) | ξ ~ 105·t²/W² (Born approx) | All states localized in 1D