Today, the idea of Anderson localization (as far as i understand) is that, in a disordered system, there are some localized single-particle eigenstates. Especially, in 1d and 2d, there are exclusively only such states.
But, isn't it obvious that a defect potential in some periodic potential can induce defect modes? Actually, if you lower the potential of some site in a periodic tight-binding model, you create a defect mode, which can be solved analytically easily.
So, what was the exact idea of Anderson?
This post imported from StackExchange Physics at 2015-12-27 11:23 (UTC), posted by SE-user John