Generalization and applicability of the Landauer formula for non-equilibrium current in the presence of interactions

Details Generalization and applicability of the Landauer formula for non-equilibrium current in the presence of interactions Generalization and applicability of the Landauer formula for non-equilibrium current in the presence of interactions

2010-07-07

arxiv.org/abs/1007.1104v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

13 pages, 5 figures. Accepted for publication in PRB

Scientific paper

Using non-equilibrium Green's functions (NEGF), we calculate the current through an interacting region connected to non-interacting leads. The problem is reformulated in such a way that a Landauer-like term appears in the current as well as extra terms corresponding to non-equilibrium many-body effects. The interaction in the central region renormalizes not only the Green's functions but also the coupling at the contacts between the central region and the leads, allowing the total current to be further expressed as a generalized Landauer-like current formula. The general expression for the dynamical functional that renormalizes the contacts is provided. We analyze in detail under what circumstances Landauer-like approaches to the current, i.e. without contact renormalization, are valid for interacting electron-electron and/or electron-phonon systems. Numerical NEGF calculations are then performed for a model electron-phonon coupled system in order to validate our analytical approach. We show that the conductance for the off-resonant transport regime is adequately described by Landauer-like approach in the small-bias limit, while for the resonant regime the Landauer-like approach results depart from the exact results even at small finite bias. The validity of applying a Landauer-like approach to inelastic electron tunneling spectroscopy is also studied in detail.

Affiliated with

Also associated with

No associations

Rating

Generalization and applicability of the Landauer formula for non-equilibrium current in the presence of interactions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalization and applicability of the Landauer formula for non-equilibrium current in the presence of interactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalization and applicability of the Landauer formula for non-equilibrium current in the presence of interactions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-345280