2. Fermi-Dirac statistics and carrier density

More and more nanometric materials are being used, which do not follow the same electron distribution laws as metal. Thus, for a very thin layer of material, if we refer to the de Broglie length corresponding to the Fermi speed, which is expressed by the formula :

we can see that, for thicknesses in the nanometer range, there are very few quantum states in the direction perpendicular to the blade, so the Fermi-Dirac statistical distribution must be written in two-dimensional pulse space.

In the case of a very fine silver...