Zero-bias anomaly of tunneling into the edge of a two-dimensional electron system

Abstract
We investigate the electron tunneling into the edge of a clean weakly interacting two-dimensional electron gas. It is shown that the corresponding differential conductance G(V) has a cusp at zero bias, and is characterized by a universal slope ‖dG/dV‖ at V=0. This singularity originates from the electron scattering on the Friedel oscillation caused by the boundary of the system.