Electron transport in a two-terminal Aharonov-Bohm ring with impurities

TL;DR

This paper derives an analytical model for electron conductance in a two-terminal Aharonov-Bohm ring with impurities, revealing Fano resonances, their collapse, and discrete energy levels influenced by magnetic flux and impurity positions.

Contribution

It provides the first analytical expression for conductance in such a system with impurities, including the effects of magnetic flux and impurity positioning.

Findings

Conductance shows asymmetric Fano resonances at specific energies.

Collapse of Fano resonances and emergence of discrete levels under certain conditions.

Explicit wave functions for discrete energy levels are derived.

Abstract

Electron transport in a two-terminal Aharonov-Bohm ring with a few short-range scatterers is investigated. An analytical expression for the conductance as a function of the electron Fermi energy and magnetic flux is obtained using the zero-range potential theory. The dependence of the conductance on positions of scatterers is studied. We have found that the conductance exhibits asymmetric Fano resonances at certain energies. The dependence of the Fano resonances on magnetic field and positions of impurities is investigated. It is found that collapse of the Fano resonances occurs and discrete energy levels in the continuous spectrum appear at certain conditions. An explicit form for the wave function corresponding to the discrete level is obtained.