TRANSMISSION COEFFICIENT CALCULATION USING THE DERIVED INELASTIC TRANSPORT ANALOGY OF THE TRANSMISSION MATRIX-METHOD - APPLICATION TO TUNNELING INTO A MARGINAL FERMI-LIQUID

An expression for the probability of transmission of an electron from an ordinary metal into a medium with a finite quasiparticle lifetime i s derived. The derivation is based on using a certain matrix, analogou s to the transmission matrix for the elastic transport case, assigned to each region of the sample being investigated. This matrix is determ ined by the functional shapes of the electronic reciprocal-effective-m ass tensor, the one-particle potential energy and the retarded self-en ergy in a given sample region, as well as by the energy and direction of motion of the incident electron. As an example of an application, t he differential conductance is calculated for a tunnelling contact bet ween an ordinary metal and an anisotropic marginal-Fermi-liquid metal for various characters of the contact interlayer zone.