Floquet band structure of a semi-Dirac system
arXiv:1709.09218 · doi:10.1103/PhysRevB.97.035422
Abstract
In this work we use Floquet-Bloch theory to study the influence of circularly and linearly polarized light on two-dimensional band structures with semi-Dirac band touching points, taking the anisotropic nearest neighbor hopping model on the honeycomb lattice as an example. We find circularly polarized light opens a gap and induces a band inversion to create a finite Chern number in the two-band model. By contrast, linearly polarized light can either open up a gap (polarized in the quadratically dispersing direction) or split the semi-Dirac band touching point into two Dirac points (polarized in the linearly dispersing direction) by an amount that depends on the amplitude of the light. Motivated by recent pump-probe experiments, we investigated the non-equilibrium spectral properties and momentum-dependent spin-texture of our model in the Floquet state following a quench in absence of phonons, and in the presence of phonon dissipation that leads to a steady-state independent of the pump protocol. Finally, we make connections to optical measurements by computing the frequency dependence of the longitudinal and transverse optical conductivity for this two-band model. We analyze the various contributions from inter-band transitions and different Floquet modes. Our results suggest strategies for optically controlling band structures and experimentally measuring topological Floquet systems.
17 pages, 8 figures
References in corpus (31)
- The electronic properties of graphene
- Photovoltaic Hall effect in graphene
- Topological characterization of periodically-driven quantum systems
- Phase coexistence and metal-insulator transition in few-layer phosphorene: A computational study
- Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
- Many-body localization in periodically driven systems
- Photo-Induced Topological Phase Transition and a Single Dirac-Cone State in Silicene
- Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
- Testing whether all eigenstates obey the Eigenstate Thermalization Hypothesis
- Merging of Dirac points in a two-dimensional crystal
- Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems
- A classification of symmetry enriched topological phases with exactly solvable models
- Theoretical description of time-resolved photoemission spectroscopy: application to pump-probe experiments
- A new magnetic field dependence of Landau levels on a graphene like structure
- Zero modes of tight binding electrons on the honeycomb lattice
- Out of equilibrium electrons and the Hall conductance of a Floquet topological insulator
- Effective Theory of Floquet Topological Transitions
- Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
- Dissipative Floquet Topological Systems
- Mott Physics and Topological Phase Transition in Correlated Dirac Fermions
- Modulated Floquet Topological Insulators
- Nonequilibrium Steady State of Photoexcited Correlated Electrons in the Presence of Dissipation
- Occupation of topological Floquet bands in open systems
- Condition for emergence of the Floquet-Gibbs state in periodically driven open systems
- Floquet interface states in illuminated three-dimensional topological insulators
- Materials design from non-equilibrium steady states: driven graphene as a tunable semiconductor with topological properties
- Floquet dynamics in two-dimensional semi-Dirac semimetals and three-dimensional Dirac semimetals
- Population dynamics in Floquet realisation of Harper-Hofstadter Hamiltonian
- Quadratic band touching points and flat bands in two-dimensional topological Floquet systems
- Floquet systems coupled to particle reservoirs
- Interplay of Coulomb interaction and disorder in a two-dimensional semi-Dirac fermion system