Abstract

Optical nonlinearity depends on symmetry and symmetries vanish in the presence of defects. Vacancy defects in centrosymmetric crystals and thin films are a well-known source of even-order optical nonlinearity, e.g. causing second harmonic generation. The emerging ability to manipulate defects in two-dimensional materials and nanoparticles provides an opportunity for engineering of optical nonlinearity. Here, we demonstrate the effect of defects on the nonlinear optical response of two-dimensional dielectric nanoparticles. Using a toy model, where bound optical electrons of linear atoms are coupled by nonlinear Coulomb interactions, we model defect-induced nonlinearity. We find that defects at particle edges contribute strongly to even-order optical nonlinearity and that unique nonlinear signatures of different defect states could provide the smallest conceivable QR-codes and extremely high density optical data storage, in principle approaching 1 bit per atom.

Highlights

  • Harmonic generation is of key importance for wavelength conversion of optical signals and optical information processing

  • Defects at corners induce the strongest dipole moment Py,x, while this component does not arise from defects that maintain the horizontal or vertical mirror symmetry of the nanoparticle

  • We argue that 2D defect patterns could act as the smallest conceivable 2D barcodes, i.e. nano-QR-codes, that could be read based on their nonlinear optical properties

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Summary

Introduction

Harmonic generation is of key importance for wavelength conversion of optical signals and optical information processing. We first study a square particle with 25 atoms (D4 symmetry, with square lattice) and introduce one vacancy defect at three different positions. When the defect occurs at a corner (Fig. 2b), x or y-polarized excitation generates dipole moments along both the x and y directions, and we observe Px,x=Py,y and Px,y= Py,x.

Results
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