Abstract

Polar domain walls are currently at the focus of intensive research owing to their unusual and highly localized functional properties, which bear great potential for technological applications. They can present unusual topological features, like swirling polar structures or defect lines. The prediction of possible non-Ising and chiral internal structures of polar domain walls has been a particularly important development in this topic over the past years. This Tutorial highlights the capabilities of non-linear optics to probe these newly discovered aspects in polar non-Ising type domain walls through the second-harmonic generation (SHG) process. Fundamental symmetry properties of domain walls are presented in the context of recent advances on chiral and abnormal polar structures. We introduce the basics of the SHG and its ability to probe the symmetry down to the nanoscale, and we explain how to obtain insight into the non-Ising character of polar domain walls by combining the SHG polarimetry analysis with modeling.

Highlights

  • Topological structures[1] including domain walls (DW), vortices, Bloch points, Bloch lines, bubbles, or skyrmions have attracted great attention owing to their ability to be created and controlled in ordered materials

  • We introduce the basics of the second-harmonic generation (SHG) and its ability to probe the symmetry down to the nanoscale, and we explain how to obtain insight into the non-Ising character of polar domain walls by combining the SHG polarimetry analysis with modeling

  • After an overview of fundamental aspects related to the local symmetry, the non-Ising character, and the properties of DWs, we present the basics of the SHG method and emphasize its ability to probe the local symmetry down to the nanoscale

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Summary

INTRODUCTION

Topological structures[1] including domain walls (DW), vortices, Bloch points, Bloch lines, bubbles, or skyrmions have attracted great attention owing to their ability to be created and controlled in ordered materials. The method has been used to demonstrate the existence of Néel-type domain walls in PbZrTiO3 thin films,[23,24] and to observe chiral Bloch walls and Bloch lines, a particular type of ferroelectric topological structures, in LiTaO3.24 This Tutorial highlights the capabilities of SHG microscopy to probe polar DWs and their internal structure.

THE INTERNAL STRUCTURE OF POLAR DOMAIN WALLS IN FERROIC SYSTEMS
Characteristic length scales
Bloch and Néel-type domain walls
FUNDAMENTAL ASPECTS OF NON-LINEAR OPTICS
Second-harmonic generation: A frequency doubling process
The second-order non-linear susceptibility tensor
Contrast mechanism at domain walls in SHG microscopy
Experimental details
Modeling the SHG polarimetry response
Three-dimensional domain wall profiles in SHG experiments
SUMMARY AND OUTLOOK
Full Text
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