# Noncollinear magnetic ordering in the Shastry-Sutherland Kondo lattice model: Insulating regime and the role of Dzyaloshinskii-Moriya interaction

## TL;DR

This study explores how Dzyaloshinskii-Moriya interactions induce complex noncoplanar magnetic states in a half-filled, insulating Shastry-Sutherland Kondo lattice, revealing their dependence on external magnetic fields and specific interaction vectors.

## Contribution

It demonstrates that finite Dzyaloshinskii-Moriya interactions are essential for stabilizing chiral magnetic phases in the insulating regime of the Shastry-Sutherland Kondo lattice.

## Key findings

- Dzyaloshinskii-Moriya interaction is necessary for noncoplanar states at half filling.
- A minimal set of DM vectors stabilizes chiral magnetic phases.
- External magnetic fields can tune the noncoplanarity of magnetic structures.

## Abstract

We investigate the necessary conditions for the emergence of complex, noncoplanar magnetic configurations in a Kondo lattice model with classical local moments on the geometrically frustrated Shastry-Sutherland lattice and their evolution in an external magnetic field. We demonstrate that topologically nontrivial spin textures, including a new canted flux state, with nonzero scalar chirality arise dynamically from realistic short-range interactions. Our results establish that a finite Dzyaloshinskii-Moriya (DM) interaction is necessary for the emergence of these novel magnetic states when the system is at half filling, for which the ground state is insulating. We identify the minimal set of DM vectors that are necessary for the stabilization of chiral magnetic phases. The noncoplanarity of such structures can be tuned continually by applying an external magnetic field. This is the first part in a series of two papers; in the following paper the effects of frustration, thermal fluctuations, and magnetic field on the emergence of novel noncollinear states at metallic filling of itinerant electrons are discussed. Our results are crucial in understanding the magnetic and electronic properties of the rare-earth tetraboride family of frustrated magnets with separate spin and charge degrees of freedom.