Floquet topological phases with high Chern numbers in a periodically driven extended Su-Schrieffer-Heeger model

TL;DR

This paper investigates high Chern number Floquet topological phases in a periodically driven extended SSH model, revealing controllable phase transitions via Floquet analysis without perturbation theory, with potential experimental realization in optical lattices.

Contribution

It introduces a comprehensive Floquet replica analysis of high Chern number phases in a driven extended SSH model, avoiding perturbation methods and enabling control over phase transitions.

Findings

Multiple Floquet topological phase transitions identified.

High Chern number phases with |C| > 1 observed.

Phase transitions controlled by driving strength and frequency.

Abstract

The high Chern number phases with the Chern number |C| > 1 are observed in this study of a periodically driven extended Su-Schrieffer-Heeger (E-SSH) model with a cyclic parameter. Besides the standard intra-dimer and the nearest-neighbor (NN) inter-dimer hopping of the SSH model, an additional next-nearest-neighbor (NNN) hopping is considered in the E-SSH model. The cyclic parameter, which plays the role of a synthetic dimension, is invoked as a modulation of the hopping strengths. A rigorous analysis of different phase diagrams has shown multiple Floquet topological phase transitions among the high Chern number phases. These phase transitions can be controlled by the strength and frequency of the periodic driving. Instead of applying perturbation theory, the whole analysis is done by Floquet replica technique. This gives a freedom to study high as well as low-frequency effects on the system by considering less or more number of photon sectors. This system can be experimentally realized through a pulse sequence scheme in the optical lattice setup.