Spin Chern number in altermagnets

Fuente: arXiv
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Auteurs principaux: Gonzalez-Hernandez, Rafael, Serrano, Higinio, Uribe, Bernardo
Format: Preprint
Publié: 2024
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author Gonzalez-Hernandez, Rafael
Serrano, Higinio
Uribe, Bernardo
author_facet Gonzalez-Hernandez, Rafael
Serrano, Higinio
Uribe, Bernardo
contents This work explores the topological properties of altermagnets, a novel class of collinear magnetic materials. We employ equivariant K-theory of magnetic groups and Hamiltonian models to formulate a robust $C^z_4 \mathbb{T}$ topological invariant to classify 2D and 3D altermagnetic systems. Our findings demonstrate that the spin Chern number serves as a robust topological index, corresponding to the half-quantized Chern number of the divided Brillouin zone. This indicator enables the prediction of a topologically protected 2D altermagnetic insulators and 3D Weyl altermagnetic semimetals, highlighting the relationship between altermagnetism and topological phases. Furthermore, our results provide a pathway to the exploration of topological applications in $d$-wave altermagnetic materials.
format Preprint
id arxiv_https___arxiv_org_abs_2412_04593
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Spin Chern number in altermagnets
Gonzalez-Hernandez, Rafael
Serrano, Higinio
Uribe, Bernardo
Materials Science
This work explores the topological properties of altermagnets, a novel class of collinear magnetic materials. We employ equivariant K-theory of magnetic groups and Hamiltonian models to formulate a robust $C^z_4 \mathbb{T}$ topological invariant to classify 2D and 3D altermagnetic systems. Our findings demonstrate that the spin Chern number serves as a robust topological index, corresponding to the half-quantized Chern number of the divided Brillouin zone. This indicator enables the prediction of a topologically protected 2D altermagnetic insulators and 3D Weyl altermagnetic semimetals, highlighting the relationship between altermagnetism and topological phases. Furthermore, our results provide a pathway to the exploration of topological applications in $d$-wave altermagnetic materials.
title Spin Chern number in altermagnets
topic Materials Science
url https://arxiv.org/abs/2412.04593