Comment on "Floquet topological phase transition in the $\alpha$--$\mathcal{T}_{3}$ lattice"

TL;DR

This paper critiques a recent study on Floquet topological phase transitions in the $ ext{alpha}$--$ ext{T}_3$ lattice, highlighting a flaw in the derivation of the effective Hamiltonian.

Contribution

It provides a critical analysis of the previous work, identifying a specific flaw in the derivation process.

Findings

Identifies a flaw in the derivation of the effective Hamiltonian.

Highlights the importance of correct derivation in topological phase studies.

Calls for revision of the previous results based on the flawed derivation.

Abstract

A recent paper studied the topological phase transition driven by the circular frequency light in the $\alpha$--$\mathcal{T}_{3}$ lattice. In this Comment we point out that there is a flaw in the derivation of the effective Hamiltonian in this paper.