Designer gapped and tilted Dirac cones in lateral graphene superlattices

Abstract

We show that a planar array of bipolar waveguides in graphene can be used to engineer gapped and tilted two-dimensional Dirac cones within the electronic band structure. The presence of these gapped and tilted Dirac cones is demonstrated through a superlattice tight-binding model and verified using a transfer matrix calculation. By varying the applied gate voltages, the tilt parameter of these Dirac cones can be controlled and their gaps can be tuned to fall in the terahertz range. The possibility of gate-tunable gapped Dirac cones gives rise to terahertz applications via interband transitions and designer Landau level spectra both of which can be controlled via Dirac cone engineering. We anticipate that our paper will encourage Dirac cone tilt and gap engineering for gate-tunable device applications in lateral graphene superlattices.

arXiv comment12 pages, 6 figures

References in corpus (64)

• The electronic properties of graphene
• Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
• Type-II Weyl Semimetals
• Quantum Spin Hall Effect and Topological Field Effect Transistor in Two-Dimensional Transition Metal Dichalcogenides
• Topological Bands for Ultracold Atoms
• Semimetallic Two-Dimensional Boron Allotrope with Massless Dirac Fermions
• Electronic and optical properties of strained graphene and other strained 2D materials: a review
• New Generation of Massless Dirac Fermions in Graphene under External Periodic Potentials
• Pressure-Induced Zero-Gap Semiconducting State in Organic Conductor $\alpha$-(BEDT-TTF)${}_2$I${}_3$ Salt
• Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
• Valley-dependent Brewster angles and Goos-Hanchen effect in strained graphene
• Extra Dirac points in the energy spectrum for superlattices on single-layer graphene
• Emerging Zero Modes for Graphene in a Periodic Potential
• Dirac and Klein-Gordon particles in one-dimensional periodic potentials
• Electronic properties of 8-Pmmn borophene
• Landau Levels and Quantum Hall Effect in Graphene Superlattices
• Smooth electron waveguides in graphene
• Tilted and type-III Dirac cones emerging from flat bands in photonic orbital graphene
• Anisotropic carrier mobility of distorted Dirac cones: theory and application
• Effect of electron-hole asymmetry on optical conductivity in 8-Pmmn borophene
• Anisotropic band flattening in graphene with 1D superlattices
• Quasi-exact solution to the Dirac equation for the hyperbolic secant potential
• Single-layer and bilayer graphene superlattices: collimation, additional Dirac points and Dirac lines
• Tunable Superlattice in Graphene To Control the Number of Dirac Points
• Topological and Transport Properties of Dirac Fermions in Antiferromagnetic Metallic Phase of Iron-Based Superconductors
• Strain Modulated Superlattices in Graphene
• Oblique Klein tunneling in 8-Pmmn borophene p-n junctions
• Klein tunneling and electron optics in Dirac-Weyl fermion systems with tilted energy dispersion
• Optical properties of massive anisotropic tilted Dirac systems
• Signature of tilted Dirac cones in Weiss oscillations of $8-Pmmn$ borophene
• Semimetalic graphene in a modulated electric potential
• Metal-Insulator transition in 8-Pmmn Borophene under perpendicular incidence of electromagnetic radiation
• Type-II Dirac surface states in topological crystalline insulators
• Anisotropic longitudinal optical conductivities of tilted Dirac bands in 1T${}^{\prime }$-MoS${}_2$
• Dirac-Kronig-Penney model for strain-engineered graphene
• Longitudinal conductivity of massless fermions with tilted Dirac cone in magnetic field
• Tilt-induced kink in the plasmon dispersion of two-dimensional Dirac electrons
• Crossover from Positive to Negative Interlayer Magnetoresistance in Multilayer Massless Dirac Fermion System with Non-Vertical Interlayer Tunneling
• Two-dimensional antiferromagnetic Dirac fermions in monolayer TaCoTe${}_2$
• Tilted-Cone Induced Cusps and Nonmonotonic Structures in Dynamical Polarization Function of Massless Dirac Fermions
• Two-dimensional Dirac particles in a Pöschl-Teller waveguide
• Guiding Dirac fermions in graphene with a carbon nanotube
• Towards superlattices: Lateral bipolar multibarriers in graphene
• Optical absorption in two-dimensional materials with tilted Dirac cones
• Quantum spin Hall effect in monolayer and bilayer TaIrTe${}_4$
• Tunning the tilt of a Dirac cone by atomic manipulations: application to 8Pmmn borophene
• Optical and photogalvanic properties of graphene supperlattices formed by periodic strain
• Two-dimensional type-II Dirac fermions in a LaAlO3/LaNiO3/LaAlO3 quantum well
• Hyperbolic plasmons in massive tilted 2D Dirac materials
• Thermoelectric transport properties of borophane
• Valley caloritronics in a photodriven hetero-junction of Dirac materials
• Anomalous heat flow in 8-$Pmmn$ borophene with tilted Dirac cones
• Signatures of Lifshitz transition in the optical conductivity of two-dimensional tilted Dirac materials
• A comprehensive study of the velocity, momentum and position matrix elements for Bloch states using a local orbital basis
• Bipolar electron waveguides in graphene
• Chemical-Strain Induced Tilted Dirac Nodes in (BEDT-TTF)${}_2$X${}_3$ (X = I, Cl, Br, F) Based Charge-Transfer Salts
• Carbon nanotube array as a van der Waals two-dimensional hyperbolic material
• Survival of sharp $n=0$ Landau levels in massive tilted Dirac fermions: Protection by generalized chiral operator
• Three-quarter Dirac points, Landau levels and magnetization in $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Guided modes and terahertz transitions for two-dimensional Dirac fermions in a smooth double-well potential
• Optical valley separation in two-dimensional semimetals with tilted Dirac cones
• Mapping borophene onto graphene: Quasi-exact solutions for guiding potentials in tilted Dirac cones
• Momentum alignment and the optical valley Hall effect in low-dimensional Dirac materials
• Energy quantization at the "three-quarter Dirac point" in a magnetic field