In principle, when the thickness of a metallic film approaches the nanometer distance scale or smaller than the mean free path of electron motion, the electronic conduction can be reduced pronouncedly and, thus, the metal-insulator transition can be observed.
Based on the above, the electronic potential acted on the hole can be averaged over the electron motion and written as (11).
The electron motion, and the movement of holes in the opposite direction, constitute an electric current.
The direction of its propagation is confined within a cone, the axis of which is the direction of electron motion.
The nature of this attractive force in molecules, which requires quantum mechanics for its correct description, was first recognized (1930) by the Polish-born physicist Fritz London, who traced it to electron motion within molecules.
For this stationary state n, the fundamental frequency (i.e., periodicity of the electron motion) is ω = n½.
Attosecond techniques permit access to the time scale of electron motion in atoms, molecules, and solids.
where the wave function describes the two-dimensional electron motion not disturbed by electron phonon interaction.
The electron motion is calculated in two different approximations as described in detail below.
While the massless electron assumption means that high frequency modes due to the electron motion cannot be simulated.
For a long time, such systems were represented by gallium arsenide heterostructures with 2D electron motion within each subband [4].
