A state with negative binding energy induced by coherent transport in a quantum wire

TL;DR

This paper demonstrates the existence of negative binding energy states in a quantum wire with a magnetic field, revealing conductance resonances caused by bound states that challenge traditional understanding of scattering effects.

Contribution

It introduces the concept of negative binding energy states induced by coherent transport in quantum wires with magnetic fields and scattering potentials.

Findings

Resonances caused by bound states with negative binding energy.

Counterexamples to typical conductance dips from quasi-bound states.

Identification of evanescent states related to these resonances.

Abstract

In a two-dimensional quantum wire in a perpendicular magnetic field with a smooth embedded repulsive scattering potential we find in the multimode conductance resonances caused by bound states with negative binding energy. These resonances are the counterexamples to well known dips in the conductance and evanescent states caused by quasi-bound states of attractive scattering centers in the wire.