  We show that a mobility edge exists in 1D random potentials provided specific
long-range correlations. Our approach is based on the relation between binary
correlator of a site potential and the localization length. We give the
algorithm to construct numerically potentials with mobility edge at any given
energy inside allowed zone. Another natural way to generate such potentials is
to use chaotic trajectories of non-linear maps. Our numerical calculations for
few particular potentials demonstrate the presence of mobility edges in 1D
geometry.
