Floquet spectrum for anisotropic and tilted Dirac materials under linearly polarized light at all field intensities
arXiv:2003.12119 · doi:10.1063/5.0007576
Abstract
The Floquet spectrum in an anisotropic tilted Dirac semimetal modulated by linearly polarized light is addressed through the solution of the time-dependent Schrödinger equation for the two-dimensional Dirac Hamiltonian via the Floquet theorem. The time-dependent wave functions and the quasienergy spectrum of the two-dimensional Dirac Hamiltonian under the normal incidence of linearly polarized waves are obtained for an arbitrarily intense electromagnetic radiation. We applied a set of unitary transformations to reduce the Schrödinger equation to an ordinary second-order differential Hill equation with complex coefficients. Through the stability analysis of this differential equation, the weak and strong field regimes are clearly distinguished in the quasi-spectrum. In the weak electric field regime, above a certain threshold given by the field parameters, the spectrum mostly resembles that of free electrons in graphene. Below this threshold, in the strong electric field regime, the spectrum abruptly becomes highly anisotropic and a gap opens up. As an example, we apply the results to the particular case of borophene.
arXiv comment8 pages, 4 figures
References in corpus (43)
- Graphene Photonics and Optoelectronics
- Graphene plasmonics
- Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
- Floquet Engineering of Quantum Materials
- Dirac materials
- Electronic and optical properties of strained graphene and other strained 2D materials: a review
- Electronic, optical, and thermodynamic properties of borophene from first-principle calculations
- Light-field driven currents in graphene
- Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
- Graphene Phase Modulator
- Creating stable Floquet-Weyl semimetals by laser-driving of 3D Dirac materials
- Photocurrents in Weyl semimetals
- Tuning laser-induced bandgaps in graphene
- Metal-insulator transition in graphene induced by circularly polarized photons
- Effect of electron-electron interactions on the conductivity of clean graphene
- Strain-induced pseudomagnetic field in Dirac semimetal borophene
- Optical response of graphene under intense terahertz fields
- Floquet Weyl Semimetal Induced by Off-Resonant Light
- Two-dimensional disorder in black phosphorus and monochalcogenide monolayers
- Coherent electron trajectory control in graphene
- All-optical band engineering of gapped Dirac materials
- Effect of electron-hole asymmetry on optical conductivity in 8-Pmmn borophene
- Control of electronic transport in graphene by electromagnetic dressing
- Peculiar electronic states, symmetries and Berry phases in irradiated - materials
- Integrable Floquet dynamics
- Photoinduced valley and electron-hole symmetry breaking in - lattice: The role of a variable Berry phase
- Floquet Perturbation Theory: Formalism and Application to Low-Frequency Limit
- Strain and the optoelectronic properties of non-planar phosphorene monolayers
- Floquet dynamics in two-dimensional semi-Dirac semimetals and three-dimensional Dirac semimetals
- Metal-Insulator transition in 8-Pmmn Borophene under perpendicular incidence of electromagnetic radiation
- A flow equation approach to periodically driven quantum systems
- Effective Floquet Hamiltonian in the low-frequency regime
- Effective Floquet Hamiltonians for periodically-driven twisted bilayer graphene
- Optically induced Lifshitz transition in bilayer graphene
- Preheating with Non-Standard Kinetic Term
- Electronic and optical conductivity of kekulé-patterned graphene: Intravalley and intervalley transport
- Dynamical band gap tuning in Weyl semi-metals by intense elliptically polarized normal illumination and its application to borophene
- Exploring the Optical States for Black Phosphorus: Anisotropy and Bandgap Tuning
- Kubo conductivity for anisotropic tilted Dirac semimetals and its application to 8-Pmmn borophene: The role of different frequency, temperature and scattering limits
- Group-IV monochalcogenide monolayers: two-dimensional ferroelectrics with weak intra-layer bonds and a phosphorene-like monolayer dissociation energy
- Engineering and probing topological properties of Dirac semimetal films by asymmetric charge transfer
- Method for finding the exact effective Hamiltonian of time driven quantum systems
- Band Gaps and Wavefunctions of Electrons Coupled to Pseudo Electromagnetic Waves in Rippled Graphene
Cited by in corpus (9)
- Optical properties of massive anisotropic tilted Dirac systems
- Generalized WKB theory for electron tunneling in gapped lattices
- Dynamical Floquet spectrum of Kekulé-distorted graphene under normal incidence of electromagnetic radiation
- Beyond Graphene: Low-Symmetry and Anisotropic 2D Materials
- Mapping borophene onto graphene: Quasi-exact solutions for guiding potentials in tilted Dirac cones
- Floquet spectrum and electronic transitions of tilted anisotropic Dirac materials under electromagnetic radiation: monodromy matrix approach
- Developing a semiclassical Wentzel-Kramers-Brillouin theory for model
- Dirac materials under linear polarized light: quantum wave function evolution and topological Berry phases as classical charged particles trajectories under electromagnetic fields
- Excitonic instability in transition metal dichalcogenides