Relativistic treatment of harmonics from impurity systems in quantum wires

TL;DR

This paper explores how laser fields interacting with impurity systems in quantum wires, modeled via the Dirac equation, can generate harmonic frequencies, with defect spacing tuning the harmonic cutoff.

Contribution

It introduces a relativistic approach to harmonic generation in quantum wires with impurities, highlighting the role of defect spacing in controlling harmonic cut-off frequencies.

Findings

Harmonics of multiples of the laser frequency can be generated in impurity systems.

Defect spacing allows tuning of the harmonic cutoff frequency.

Relativistic Dirac equation modeling provides insights into impurity-laser interactions.

Abstract

Within a one particle approximation of the Dirac equation we investigate a defect system in a quantum wire. We demonstrate that by minimally coupling a laser field of frequency omega to such an impurity system, one may generate harmonics of multiples of the driving frequency. In a multiple defect system one may employ the distance between the defects in order to tune the cut-off frequency.