The past decade has witnessed dramatic progress related to various aspects of emergent
topological polar textures in oxide nanostructures displaying vortices, skyrmions, merons …

Materials with a coexistence of magnetic and ferroelectric order—multiferroics—provide an
efficient route for the control of magnetism by electric fields. The study of multiferroics dates …

At the interface of classical and quantum physics, the Maxwell and Schrödinger equations
describe how optical fields drive and control electronic phenomena to enable lightwave …

A topological meron features a non-coplanar structure, whose order parameters in the core
region are perpendicular to those near the perimeter. A meron is half of a skyrmion, and both …

Ferroelectrics have a spontaneous electrical polarization that is arranged into domains and
can be reversed by an externally-applied field. This high versatility makes them useful in …

Topological defects are singularities in an ordered phase that can have a profound effect on
phase transitions and serve as a window into the order parameter. Examples of topological …

The formation of topological defects after a symmetry-breaking phase transition is an
overarching phenomenon that encodes the underlying dynamics. The Kibble–Zurek …

Understanding mesoscale ferroelectric domain structures and their switching behavior
under external fields is critical to applications of ferroelectrics. The phase-field method has …

The quantum Kibble-Zurek mechanism (QKZM) predicts universal dynamical behavior near
the quantum phase transitions (QPTs). It is now well understood for the one-dimensional …

The exotic topological domains in ferroelectrics and multiferroics have attracted extensive
interest in recent years due to their novel functionalities and potential applications in …