Electrons in thin films

Abstract

The method of evaluation of broken-symmetry Green's function is presented. This method was applied to electron subsystem of a thin film. It was found that electron concentrations are spatially dependent and their spatial distribution proves the existence of skin effect. The skin effect is most expressed in the films of minimal thickness. The internal energy of electrons lying in the film Fermi volume, decreases with the increase of temperature. It is the consequence of the Pauli principle, which does not allow change of electron velocities. Introduced heat increases electron effective masses and this leads to the decrease of internal energy. : 61.46.+w, 61.50.Ah, PACS

Geometrical analyses of nanostructures

“…In order to use translational invariance in x, y planes the following transformation is used [17,18] G nx,ny,nz;mx,my,mz (ω) = 1 N x N y kx,ky e idkx(nx−mx)+idky(ny−my) Γ (k x , k y , ω) .…”

The Research of Nanoscience Progress

“…As it is seen the value j CE is expressed in parameters of triclinic structure (see formula (108) and, consequently, the result (111) with expressed by (113) represents ordering parameter of ferromagnet with triclinic lattice which is evaluated by means of equivalent simple cubic lattice.…”

“…-in order to use translational invariance in x, y planes the following transformation is used 113 G n x n y n z m x m y m z = 1 N x N y k x k y e idk x n x −m x +idk y n y −m y k x k y The quoted procedure gives the system of three difference equations…”