Topological gaps without masses in driven graphene-like systems

Abstract

We illustrate the possibility of realizing band gaps in graphene-like systems that fall outside the existing classification of gapped Dirac Hamiltonians in terms of masses. As our primary example we consider a band gap arising due to time-dependent distortions of the honeycomb lattice. By means of an exact, invertible, and transport-preserving mapping to a time-independent Hamiltonian, we show that the system exhibits Chern-insulating phases with quantized Hall conductivities $\pm e^2/h$. The chirality of the corresponding gapless edge modes is controllable by both the frequency of the driving and the manner in which sublattice symmetry is broken by the dynamical lattice modulations. Finally, we discuss a promising possible realization of this physics in photonic lattices.

8 pages, 3 figures; added discussion of distinctness from Haldane model; corrected references

References in corpus (8)

• The electronic properties of graphene
• Classification of topological insulators and superconductors in three spatial dimensions
• Photovoltaic Hall effect in graphene
• Theory of resonant multiphonon Raman scattering in graphene
• Materials design from non-equilibrium steady states: driven graphene as a tunable semiconductor with topological properties
• Lenosky's energy and the phonon dispersion of graphene
• Non-abelian gauge fields and quadratic band touchings in molecular graphene
• Time reversal, fermion doubling, and the masses of lattice Dirac fermions in three dimensions

Cited by in corpus (18)

• Higher-Order Topology in Bismuth
• Occupation of topological Floquet bands in open systems
• Condition for emergence of the Floquet-Gibbs state in periodically driven open systems
• Aspects of Floquet Bands and Topological Phase Transitions in a Continuously Driven Superlattice
• Dynamic Optical Superlattices with Topological Bands
• Floquet systems coupled to particle reservoirs
• Classification of Floquet Statistical Distribution for Time-Periodic Open Systems
• Topological edge states on time-periodically strained armchair graphene nanoribbons
• Symmetry breaking effects on spin and electronic transport in graphene
• Dissipative Floquet Majorana modes in proximity-induced topological superconductors
• Keldysh approach to periodically driven systems with a fermionic bath: non-equilibrium steady state, proximity effect and dissipation
• Robust edge states induced by electron-phonon interaction in graphene nanoribbons
• Topological phase-diagram of time-periodically rippled zigzag graphene nanoribbons
• Intrinsic dissipative Floquet superconductors beyond mean-field theory
• Band-edge superconductivity
• Band Gaps and Wavefunctions of Electrons Coupled to Pseudo Electromagnetic Waves in Rippled Graphene
• Properties of dissipative Floquet Majorana modes using a quantum dot
• Chiral vortex-line liquid of three-dimensional interacting Bose systems with moat dispersion