EFFECT OF THE ELECTRON-ELECTRON INTERACTION ON THE LANDAUER CONDUCTANCE

In a conductance theory that is faithful to a Hamiltonian, the Landauer type of conductance proportional to e2/h was shown earlier by the author to occur only for a transport electric field that is spatially localized, when the magnetic field is zero. The current in the nth conductance channel was found to be spatially varying, proportional to cos(omegaz/v(Fn)), and accompanied by a density wave proportional to sin(omegaz/v(Fn)). It is shown here that when the Hartree-field part of the electron-electron interaction is added to the Hamiltonian, the spatially varying part of the current and the density wave are reduced to negligible magnitude by a multiplying factor omega2/omega(plasma)2. Only spatially constant current with cos(omegaz/v(Fn))-->1 remains. For charge neutrality on the macroscopic length scale in lead wires, it is necessary that the cross-sectional area of the lead wires be macroscopic except for the mesoscopic system.