# Generating quantum multi-criticality in topological insulators by periodic driving

## TL;DR

This paper shows that periodic driving can induce complex quantum multi-critical points in 2D topological insulators, revealing multiple universality classes and scaling laws through a unified Floquet RG approach.

## Contribution

It introduces a novel Floquet RG method to analyze multi-criticality in driven topological insulators, uncovering coexistence of different quantum phase transitions.

## Key findings

- Multiple universality classes identified
- Scaling laws characterized by Floquet RG
- Coexistence of Dirac-like and nodal loop transitions

## Abstract

We demonstrate that the prototypical two-dimensional Chern insulator hosts exotic quantum multi-criticality in the presence of an appropriate periodic driving: a linear Dirac-like transition coexists with a nodal loop-like transition caused by emerging symmetries. The existence of multiple universality classes and scaling laws can be unambiguously captured by a single renormalization group approach based on the stroboscopic Floquet Hamiltonian, regardless of whether the topological transition is associated with the anomalous edge modes or not.