A Geometric Approach to the Landauer-Büttiker Formula

Non-equilibrium current via geometric scatterers

“…Using the Landauer-Büttiker formula we compute the current and analyze numerically its dependence on the model parameters. Before proceeding further, let us mention that a general geometric approach to the Landauer-Büttiker formula has also been a subject of the recent interesting paper [3]. There again the scatterer (sample) was a compact manifold, but in contrast to the model discussed here, without a complementary plunger gate voltage.…”