EFFECT OF THE ELECTRON-ELECTRON INTERACTION ON THE LANDAUER CONDUCTANCE

In a conductance theory that is faithful to a Hamiltonian, the Landaue r type of conductance proportional to e2/h was shown earlier by the au thor to occur only for a transport electric field that is spatially lo calized, when the magnetic field is zero. The current in the nth condu ctance channel was found to be spatially varying, proportional to cos( omegaz/v(Fn)), and accompanied by a density wave proportional to sin(o megaz/v(Fn)). It is shown here that when the Hartree-field part of the electron-electron interaction is added to the Hamiltonian, the spatia lly varying part of the current and the density wave are reduced to ne gligible magnitude by a multiplying factor omega2/omega(plasma)2. Only spatially constant current with cos(omegaz/v(Fn))-->1 remains. For ch arge neutrality on the macroscopic length scale in lead wires, it is n ecessary that the cross-sectional area of the lead wires be macroscopi c except for the mesoscopic system.