Effective Dirac Hamiltonian for anisotropic honeycomb lattices: Optical properties

2015/11/30 by M. Oliva-Leyva, Gerardo G. Naumis · 2 citations
Materials Science · Mathematics · Physics and Astronomy · #Anisotropy #Composite material #Condensed matter physics #Dirac (video compression format) #Graphene research and applications #Hamiltonian (control theory) #Honeycomb #Materials science #Mathematics #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.93.035439

published as Phys. Rev. B 93, 035439 (2016)

arxiv created 2015/11/30 · openalex publication_date 2016/01/22 · arxiv updated 2017/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 previous case of uniformly strained graphene, we study the optical properties of graphene under a nonmechanical distortion.

Citations

• Minimal conductivity of graphene: Nonuniversal values from the Kubo formula
• Measurement of the Elastic Properties and Intrinsic Strength of Monolayer Graphene
• Zero modes of tight-binding electrons on the honeycomb lattice
• The electronic properties of graphene
• Fine Structure Constant Defines Visual Transparency of Graphene
• Tilted anisotropic Dirac cones in quinoid-type graphene andα−(BEDT-TTF)2I3

Cited by

• Straintronics beyond homogeneous deformation
• Topological phase-diagram of time-periodically rippled zigzag graphene nanoribbons