Fano resonances in low-energy electron transmission through crystalline films

It is shown that in crystalline films with a definite lattice symmetry there exist one-dimensional bands of bound electron states above the boundary of the continuous spectrum. The intensity of electron reflection near the state of complete transmission of low-energy electrons is found to have the form of a Fano resonance. We obtain the relationship between the Fano function parameters and physical characteristics of the system. The conditions for the electron transparency to arise near the bound state bands in the continuum are determined.