# Antiferromagnetic Topological Nodal Line Semimetals

## TL;DR

This paper classifies and models three-dimensional magnetic nodal line semimetals, revealing two distinct classes based on symmetry and band inversion, with implications for material discovery and experimental detection.

## Contribution

It introduces two new classes of magnetic NLSMs, provides concrete tight-binding models, and discusses potential materials and experimental signatures.

## Key findings

- Identification of band-inversion NLSMs protected by glide mirror and symmetry
- Proposal of essential NLSMs enforced by magnetic symmetry groups
- Presentation of two tight-binding models for each class

## Abstract

We study three-dimensional nodal line semimetals (NLSMs) with magnetic ordering and strong spin-orbit interaction. Two distinct classes of magnetic NLSMs are proposed. The first class is band-inversion NLSM where the accidental line node is induced by band inversion and locally protected by glide mirror plane and the combined time-reversal and inversion symmetries. This can be viewed as a trivial stacking of the two-dimensional antiferromagnetic Dirac semimetals. The second class is essential NLSM where the nodal features are filling-enforced by specific magnetic symmetry group. We further provide two concrete tight-binding models for magnetic NLSMs which belong to these two different classes, respectively. We conclude with a brief discussion on the possible material venues and the experimental implications for such phases.