Landauer transport with inelastic scatteringY. Imry1, O. Entin-Wohlman2, 3, 4 and A. Aharony2, 3
1 Department of Condensed-Matter Physics, the Weizmann Institute of Science Rehovot 76100, Israel
2 School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University - Tel Aviv 69978, Israel
3 Physics Department, Ben Gurion University - Beer Sheva 84105, Israel
4 The Albert Einstein Minerva Center for Theoretical Physics at the Weizmann Institute of Science - Rehovot 76100, Israel
received 17 May 2005; accepted in final form 5 August 2005
published online 7 September 2005
The Landauer transport formulation is generalized to the case of a dynamic scatterer with arbitrary energy levels, weakly coupled to a long ideal noninteracting wire. The two-terminal linear conductance of the device is expressed in terms of the (inelastic) scattering cross-sections of the electrons off the scatterer, using a Fermi-liquid picture for the scattering states of the whole system. Assuming unitarity, i.e. the optical theorem, we obtain the same results from a Kubo linear-response treatment and from a Keldysh technique approach.
72.10.-d - Theory of electronic transport; scattering mechanisms.
73.23.-b - Electronic transport in mesoscopic systems.
05.60.Gg - Quantum transport.
© EDP Sciences 2005