# Tailored Morphologies in 2D Ferronematic Wells

## TL;DR

This paper investigates how geometry, boundary conditions, and coupling induce unique magnetic and nematic morphologies in a dilute suspension of magnetic nanoparticles within a nematic medium, revealing controllable domain walls and defects.

## Contribution

It demonstrates the emergence of novel, stable morphologies in coupled magnetic-nematic systems driven purely by geometry and boundary effects, not present in uncoupled systems.

## Key findings

- Magnetization domain walls can be manipulated via coupling parameters.
- Stable interior and boundary nematic defects are tunable by material properties.
- New multistable morphologies with singularities and interfaces are identified.

## Abstract

We focus on a dilute uniform suspension of magnetic nanoparticles in a nematic-filled micron-sized shallow well with tangent boundary conditions, as a paradigm system with two coupled order parameters. This system exhibits spontaneous magnetization without magnetic fields. We numerically obtain the stable nematic and associated magnetization morphologies, induced purely by the geometry, boundary conditions and the coupling between the magnetic nanoparticles and the host nematic medium. Our most striking observations pertain to domain walls in the magnetization profile whose location can be manipulated by the coupling and material properties, and stable interior and boundary nematic defects, whose location and multiplicity can be tailored by the coupling too. These novel morphologies are not accessible in uncoupled systems and can be used for new multistable systems with singularities and stable interfaces.