Correspondence between a shaken honeycomb lattice and the Haldane model

Abstract

We investigate the correspondence between the tight-binding Floquet Hamiltonian of a periodically modulated honeycomb lattice and the Haldane model. We show that - though the two systems share the same topological phase diagram, as reported in a breakthrough experiment with ultracold atoms in a stretched honeycomb lattice [Jotzu et al., Nature 515, 237 (2014)] - the corresponding Hamiltonians are not equivalent, the one of the shaken lattice presenting a much richer structure.

8 pages, 7 figures

References in corpus (7)

• Topological characterization of periodically-driven quantum systems
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Merging of Dirac points in a two-dimensional crystal
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Ultracold Fermions in a Graphene-Type Optical Lattice
• Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
• Breakdown of the Peierls substitution for the Haldane model with ultracold atoms

Cited by in corpus (2)

• Computing Floquet quasienergies in finite and extended systems: Role of electromagnetic and quantum-geometric gauges
• Topological Phase Diagram of Optimally Shaken Honeycomb Lattices: A Dual Perspective from Stroboscopic and Non-Stroboscopic Floquet Hamiltonians