Effective Dirac Hamiltonian for anisotropic honeycomb lattices: optical properties

Abstract

We derive the low-energy Hamiltonian for a honeycomb lattice with anisotropy in the hopping parameters. Taking the reported Dirac Hamiltonian for the anisotropic honeycomb lattice, we obtain its optical conductivity tensor and its transmittance for normal incidence of linearly polarized light. Also, we characterize its dichroic character due to the anisotropic optical absorption. As an application of our general findings, which reproduce the case of uniformly strained graphene, we study the optical properties of graphene under a nonmechanical distortion.

References in corpus (26)

• The electronic properties of graphene
• Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
• Chiral tunneling and the Klein paradox in graphene
• A tight-binding approach to uniaxial strain in graphene
• Quantum interference and Klein tunneling in graphene heterojunctions
• All-graphene integrated circuits via strain engineering
• Strong suppression of weak (anti)localization in graphene
• The optical conductivity of graphene in the visible region of the spectrum
• Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
• Merging of Dirac points in a two-dimensional crystal
• Gap opening in graphene by shear strain
• On the minimal conductivity of graphene
• Zero modes of tight binding electrons on the honeycomb lattice
• Elastic Gauge Fields in Weyl Semimetals
• Robust Transport Properties in Graphene
• Mechanics of freely-suspended ultrathin layered materials
• Theory of strain in single-layer transition metal dichalcogenides
• Optical Properties of Strained Graphene
• Spin-valley filtering in strained graphene structures with artificially induced carrier mass and spin-orbit coupling
• Gaussian deformations in graphene ribbons: flowers and confinement
• Pseudomagnetic fields in graphene nanobubbles of constrained geometry: A molecular dynamics study
• Random gauge field effects on the conductivity of graphene sheets with disordered ripples
• Emergent geometry experienced by fermions in graphene in the presence of dislocations
• Merging of the Dirac points in electronic artificial graphene

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• Anisotropic effects in two-dimensional materials
• Topological flat bands in time-periodically driven uniaxial strained graphene nanoribbons
• Dynamical band gap tuning in Weyl semi-metals by intense elliptically polarized normal illumination and its application to $8-Pmmn$ borophene
• Kubo conductivity for anisotropic tilted Dirac semimetals and its application to 8-Pmmn borophene: The role of different frequency, temperature and scattering limits
• Low-energy theory for strained graphene: an approach up to second-order in the strain tensor
• Electron transitions for Dirac Hamiltonians with flat-bands under electromagnetic radiation and its application to the $\alpha -{\mathcal{T}}_3$ graphene model
• Optical Hall effect in strained graphene
• Straintronics beyond homogeneous deformation
• Effective magnetic field induced by inhomogeneous Fermi velocity in strained honeycomb structures
• Optoelectronic Fingerprints of Interference between Different Charge Carriers in Graphene Superlattices and Analogies to Twisted Graphene Bilayers
• Topological phase-diagram of time-periodically rippled zigzag graphene nanoribbons
• Optical activity and transport in twisted bilayer graphene: the essence of spatial dispersion effects
• Unitary preparation of many body Chern insulators: Adiabatic bulk boundary correspondence
• Multifractal wave functions of charge carriers in graphene with folded deformations, ripples or uniaxial flexural modes: analogies to the quantum Hall effect under random pseudomagnetic fields
• Optical Hall response of bilayer graphene: the manifestation of chiral hybridised states in broken mirror symmetry lattices
• Dirac topological insulator in the d${}_{z^2}$ manifold of a honeycomb oxide
• Modulated Dirac bands and integer hopping ratios in a honeycomb lattice of phenalenyl-tessellation molecules