Ground-state phase diagram of the Kondo lattice model on triangular-to-kagome lattices

TL;DR

This study maps the ground-state phase diagram of the Kondo lattice model on lattices transitioning from triangular to kagome, revealing the stability and evolution of noncoplanar spin orders and scalar chirality.

Contribution

It provides a detailed variational analysis of how lattice geometry influences magnetic order and scalar chirality in the Kondo lattice model.

Findings

Noncoplanar four-sublattice order is stable over a wide parameter range.

Scalar chirality vanishes as the lattice approaches the kagome structure.

Noncoplanar states become coplanar on the kagome lattice.

Abstract

We investigate the ground-state phase diagram of the Kondo lattice model with classical localized spins on triangular-to-kagome lattices by using a variational calculation. We identify the parameter regions where a four-sublattice noncoplanar order is stable with a finite spin scalar chirality while changing the lattice structure from triangular to kagome continuously. Although the noncoplanar spin states appear in a wide range of parameters, the spin configurations on the kagome network become coplanar as approaching the kagome lattice; eventually, the scalar chirality vanishes for the kagome lattice model.