Nonlinear Plasmonics Near the Dirac Point in Negative-Zero-Positive Index Metamaterials–Optical Simulations of Electron in Graphene

摘要: In 2004, graphene, a single layer of carbon atoms arranged in hexagonal lattice, has been experimentally realized by A. K. Geim and S. Novoselov (Novoselov et al., 2004). the conduction valence bands touch each other at Dirac point (DP) with double-cone structure Near DP, dispersion electron is linear two branches The dynamics such truly two-dimensional (2D) material governed massless equation. So graphene exhibits many unique electronic properties (Beenakker, 2008; Castro Neto 2009), including half-integer unconventional quantum Hall effect (Zhang 2005), observation minimum conductivity Klein tunneling (Katsnelson 2006). optical-like behaviors waves have also drawn considerable attention recently, as focusing (Cheianov 2007), collimation (Park 2008a), subwavelength optics (Darancet Bragg reflection (Ghosh Goos-Hanchen (Beenakker 2009; Zhao 2010). this regard, one recent work to investigate guided modes monolayer waveguide, analogy optical waveguides 2009). exotic waveguide are found different cases classical motion tunneing Similar happened transmission Dirac-like 2D barrier nonzero angle incidence (Chen Tao, modulation gap angle, height, width potential may lead applications graphene-based devices electronics can be treated an fibre, i.e., based fibre (Wu, 2011). analog device, optic, demonstrated both numerically p− n junction (Williams On hand, DP photonic crystals (PCs) for Bloch states from similarity PCs solids. Several novel transport near investigated, conical diffraction (Peleg "pseudodiffusive" scaling (Sepkhanov photon’s Zitterbewegung (Zhang, 2008), perfect (Bahat-Treidel 2010a). Up now, excitations (honeycomb lattices) well studied when propagation equation linear. 14