The effect of paired collisions of charge carriers on electrical conductivity thin conductive layer

For the first time, the problem of the effect of pair collisions of charge carriers on the electrical conductivity of a thin conducting layer was solved analytically. Permissible values of the layer thickness are limited by the dimensions at which quantum and skin effects do not appear. However, the ratio of the layer thickness to the free path of electrons can be arbitrary. The conditions of specular-diffuse reflection of charge carriers from the layer surfaces are taken as the boundary conditions of the problem. Limiting cases are considered and the results obtained are discussed.