Topological $\pi$ modes and beyond

TL;DR

This paper reviews the discovery and significance of topological $$ modes in quantum computing and exotic phases of matter, including recent generalizations like $2\u03a0/k$ modes.

Contribution

It provides an overview of topological $$ modes, their physical importance, and recent proposals for their generalizations, advancing understanding in quantum matter.

Findings

Topological $$ modes are significant in quantum computing.

Recent proposals extend $$ modes to $2a0/k$ modes.

The article highlights the role of these modes in exotic phases like Floquet time crystals.

Abstract

This short Perspective article presents an overview of the discovery of topological $\pi$ modes as well as their physical significance in quantum computing and the understanding of an exotic phase of matter, i.e., the Floquet time crystal. The recent proposals of $2\pi/k$ modes as the generalizations of $\pi$ modes are further elucidated.