Nonlinear non-Hermitian skin effect

Distant boundaries in linear non-Hermitian lattices can dramatically change energy eigenvalues and corresponding eigenstates a nonlocal way. This effect is known as skin (NHSE). Combining with nonlinear effects give rise to host of novel phenomenas, which may be used for structure designs. Here we study explore substantial edges on stationary solutions. We show that fractal continuum bands arise long lattice governed by nonreciprocal discrete Schrodinger equation. solutions are localized at the edge band. consider Ablowitz-Ladik model exceptional point disappears if infinitely long.