= Mobility edge
{title2=$E_c$}
{wiki}
A <mobility edge> separates localized from extended <energy eigenstates> on the <energy> axis. Three-dimensional disordered models can have both. In the infinite one-dimensional <tight-binding model> with independent continuous random site <energies>, all states are localized for any nonzero disorder, with probability one. This statement excludes specially correlated disorder.<Local Moments and Localized States by Philip Warren Anderson>[Local Moments and Localized States, pp.395–396, mobility edge and one-dimensional localization; institutional mirror as above]{ref}
A <mobility edge> is not a <band gap>: states can exist on both sides of $E_c$, but differ in spatial extent. For <Electrons>, the location of the <Fermi energy> relative to a <mobility edge> matters for low-<temperature> <electrical conductivity>. A three-dimensional sample need not have an extended interval at every disorder strength. In particular, the finite one-dimensional calculations below neither locate a three-dimensional <mobility edge> nor establish a nonzero universal critical disorder.
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