ELECTRON-SCATTERING IN AN ARBITRARILY BENT PLANAR QUANTUM CHANNEL

The bend region of a two-dimensional quantum channel of constant width is shown to generate a well-type effective potential in the problem of electron wave scattering. For narrow channels the longitudinal modes of electron propagation should be considered as approximately independent. In the one-mode approximation the coefficient of electron reflection is calculated and its non-monotonic dependence on the incident electron momentum and the channel bend angle is determined. The local maxima in the reflection coefficient decrease exponentially with increasing electron momentum and increase with increasing channel bend.