Resonances in a two-dimensional electron waveguide with a single delta-function scatterer

TL;DR

This paper investigates resonance phenomena in a 2D electron waveguide with a delta-function scatterer, revealing how quasi-bound states influence conductance, survival probability, and power absorption through analytical solutions and Green's function analysis.

Contribution

It provides a detailed analysis of resonance effects caused by a delta-function scatterer in a 2D waveguide, combining direct Schroedinger equation solutions with Green's function methods.

Findings

Resonances are explained via quasi-bound states.

Quasi-bound states significantly affect survival probability.

Power absorption is influenced by the resonant states.

Abstract

We study the conductance properties of a straight two-dimensional electron waveguide with an s-like scatterer modeled by a single delta-function potential with a finite number of modes. Even such a simple system exhibits interesting resonance phenomena. These resonances are explained in terms of quasi-bound states both by using a direct solution of the Schroedinger equation and by studying the Green's function of the system. Using the Green's function we calculate the survival probability as well as the power absorption and show the influence of the quasi-bound states on these two quantities.