Microscopic quantum description of second-order nonlinearities in 2D hexagonal nanostructures beyond the Dirac cone approximation
arXiv:2005.07024 · doi:10.1103/PhysRevB.102.165406
Abstract
Single layers of hexagonal two-dimensional nanostructures such as graphene, silicene, and germanene exhibit large carrier Fermi velocities and, consequently, large light-matter coupling strength making these materials promising elements for nano-opto-electronics. Although these materials are centrosymmetric, the spatial dispersion turns out to be quite large allowing the second-order nonlinear response of such materials to be comparable to the non-centrosymmetric 2D ones. The second-order response of massless Dirac fermions has been extensively studied, however a general approach correct over the full Brillouin zone is lacking so far. To complete this gap, in the current paper we develop a general quantum-mechanical theory of the in-plane second-order nonlinear response beyond the Dirac cone approximation and applicable to the full Brillouin zone of the hexagonal tight-binding nanostructures. We present explicit calculation of the nonlinear susceptibility tensor of 2D hexagonal nanostructures applicable to arbitrary three-wave mixing processes.
14 pages, 13 figures
References in corpus (19)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Germanene: a novel two-dimensional Germanium allotrope akin to Graphene and Silicene
- The optical conductivity of graphene in the visible region of the spectrum
- Photo-excitation Cascade and Multiple Carrier Generation in Graphene
- Nonlinear electromagnetic response of graphene: Frequency multiplication and the self-consistent-field effects
- Third harmonic generation in graphene and few-layer graphite films
- Sum Rules for the Optical and Hall Conductivity in Graphene
- High harmonic generation in undoped graphene: Interplay of inter- and intraband dynamics
- Doping Induced Second Harmonic Generation in Centrosymmetric Graphene from Quadrupole Response
- Second-order nonlinear optical response of graphene
- Second order optical nonlinearity of graphene due to electric quadrupole and magnetic dipole effects
- Quantum Theory of the Third-Harmonic Generation in Graphene
- Valley polarization induced second harmonic generation in graphene
- Theory of plasmonic effects in nonlinear optics: the case of graphene
- High-order harmonic generation from gapped graphene: perturbative response and transition to non-perturbative regime
- Probing of valley polarization in graphene via optical second-harmonic generation
- Nonlinear optical response in gapped graphene
- Resonant optical second harmonic generation in graphene-based heterostructures