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

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.

References in corpus (22)

• Classification of topological insulators and superconductors in three spatial dimensions
• Topological characterization of periodically-driven quantum systems
• High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Trajectory of Anomalous Hall Effect toward the Quantized State in a Ferromagnetic Topological Insulator
• Scale-Invariant Dissipationless Chiral Transport in Magnetic Topological Insulators beyond the Two-Dimensional Limit
• Observation of Topological Phase Transitions in Photonic Quasicrystals
• Irradiated graphene as a tunable Floquet topological insulator
• Effective Theory of Floquet Topological Transitions
• The insulator/Chern-insulator transition in the Haldane model
• Topological insulator and particle pumping in a one-dimensional shaken optical lattice
• Floquet generation of Second Order Topological Superconductor
• Kaleidoscope of symmetry protected topological phases in one-dimensional periodically modulated lattices
• Stability of fractional Chern insulators in the effective continuum limit of Harper-Hofstadter bands with Chern number $|C|>1$
• Aspects of Floquet Bands and Topological Phase Transitions in a Continuously Driven Superlattice
• Anomalous and normal dislocation modes in Floquet topological insulators
• Kagome quantum anomalous Hall effect with high Chern number and large band gap
• Topological edge states and quantum Hall effect in the Haldane model
• Stability, phase transitions, and numerical breakdown of fractional Chern insulators in higher Chern bands of the Hofstadter model
• Floquet Second Order Topological Superconductor based on Unconventional Pairing
• Dressed matter waves
• High-Chern number phase in the topological insulator multilayer structures