Abstract
Electron transport across a planar nonlinear barrier where the potential depends self-consistently on the wave function has been studied. When the amplitude of the incident wave exceeds a certain threshold, a soliton-shaped brightening (darkening) appears on the barrier causing diffraction of the wave. Thus the spontaneously formed transverse pattern can be viewed as a self-induced nonlinear quantum screen. It is shown that the nonlinearity can cause self-focusing of the incident wave into a ‘beam’, splitting into two ‘beams’, single or double traces with suppressed reflection or transmission, etc.
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