# Momentum-space nonsymmorphic symmetry meets higher-order topology

**Authors:** Y X Zhao

PMC · DOI: 10.1093/nsr/nwaf237 · 2025-06-09

## TL;DR

This paper explores how nonsymmorphic symmetry in momentum space can lead to new types of 3D topological insulators with unique corner states.

## Contribution

The paper introduces a novel method to realize momentum-space nonsymmorphic symmetry using artificial crystals for higher-order topology.

## Key findings

- Alternating 0 and π fluxes in artificial crystals achieves the nonsymmorphic group Pnnn.
- This setup enables 3D octupole topological insulators with corner states.
- The work demonstrates a new approach to higher-order topology in momentum space.

## Abstract

Momentum-space nonsymmorphic group Pnnn has been achieved by alternating 0 and π fluxes in artificial crystals, enabling 3D octupole topological insulators with corner states.

## Full-text entities

- **Chemicals:** Pnnn (-)

## Figures

1 figure with captions in the complete paper: https://tomesphere.com/paper/PMC12205486/full.md

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Source: https://tomesphere.com/paper/PMC12205486