Zero-temperature phases for chiral magnets in three dimensions

TL;DR

This paper explores the ground-state phases of three-dimensional chiral magnets, identifying various spin crystal configurations and their topological properties, including Skyrmion numbers, through energy calculations and geometric analysis.

Contribution

It provides a comprehensive phase diagram for 3D chiral magnets, revealing new multiple-spiral and spin crystal states with topological features.

Findings

Identified regimes with multiple-spiral and spin crystal ground states.

Analyzed Skyrmion numbers and their relation to the anomalous Hall effect.

Provided a geometric interpretation of 3D spin crystal lattices.

Abstract

We calculate the energies of various multiple-spiral spin configurations for the three-dimensional model of chiral magnets. The ground-state phase diagram is obtained in the space of anisotropy, magnetic field, and interaction parameters. Regimes with multiple-spiral, or spin crystal ground states of two- and three-dimensional nature are identified. The Skyrmion number responsible for anomalous Hall effect is examined for each spin crystal configuration. A geometric interpretation is given for the three-dimensional spin crystal lattice structures as the periodic arrangement of hedgehog and anti-hedgehog singularities.