Fermi-surface origin of skyrmion lattices in centrosymmetric rare-earth intermetallics

We show from first-principles that barrel-shaped structures within the Fermi surface of the centrosymmetric intermetallic compounds GdRu\(_2\)Si\(_2\) and Gd\(_2\)PdSi\(_3\) give rise to Fermi surface nesting, which determines the strength and sign of quasi-two-dimensional Ruderman-Kittel-Kasuya-Yos...

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Bibliographic Details
Published in:arXiv.org 2022-04
Main Authors: Bouaziz, Juba, Mendive-Tapia, Eduardo, Blügel, Stefan, Staunton, Julie B
Format: Article
Language:English
Subjects:
Fermi surfaces
First principles
Gadolinium
Hypothetical particles
Intermetallic compounds
Lattices
Nesting
Particle theory
Rare earth elements
Silicon compounds
Spin dynamics
Topology
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Summary:We show from first-principles that barrel-shaped structures within the Fermi surface of the centrosymmetric intermetallic compounds GdRu\(_2\)Si\(_2\) and Gd\(_2\)PdSi\(_3\) give rise to Fermi surface nesting, which determines the strength and sign of quasi-two-dimensional Ruderman-Kittel-Kasuya-Yosida pairwise exchange interactions between the Gd moments. This is the principal mechanism leading to their helical single-\(q\) spin-spiral ground states, providing transition temperatures and magnetic periods in good agreement with experiment. Using atomistic spin-dynamic simulations, we draw a direct line between the subtleties of the three-dimensional Fermi surface topology and the stabilization of a square skyrmion lattice in GdRu\(_2\)Si\(_2\) at applied magnetic fields as observed in experiment.
ISSN:2331-8422
DOI:10.48550/arxiv.2204.01430