Theory of 2D crystals: graphene and beyond

Abstract

This tutorial review presents an overview of the basic theoretical aspects of two-dimensional (2D) crystals. We revise essential aspects of graphene and the new families of semiconducting 2D materials, like transition metal dichalcogenides or black phosphorus. Minimal theoretical models for various materials are presented. Some of the exciting new possibilities offered by 2D crystals are discussed, such as manipulation and control of quantum degrees of freedom (spin and pseudospin), confinement of excitons, control of the electronic and optical properties with strain engineering, or unconventional superconducting phases.

Tutorial review article. 13 pages, 7 figures

References in corpus (11)

• The electronic properties of graphene
• Two Dimensional Atomic Crystals
• Sub-diffractional, volume-confined polaritons in a natural hyperbolic material: hexagonal boron nitride
• Highly crystalline 2D superconductors
• Electronic properties of single-layer and multilayer transition metal dichalcogenides $M{X}_2$ ($M=$ Mo, W and $X=$ S, Se)
• Ultrahigh photoresponse of few-layer TiS3 nanoribbon transistors
• Pseudospin valve in bilayer graphene: towards graphene-based pseudospintronics
• Low-Symmetry Two-Dimensional Materials for Electronic and Photonic Applications
• Electronic Band Structure of Transition Metal Dichalcogenides from Ab Initio and Slater-Koster Tight-Binding Model
• Electronic properties of single-layer antimony: Tight-binding model, spin-orbit coupling and the strength of effective Coulomb interactions
• Anisotropic features in the electronic structure of the two-dimensional transition metal trichalcogenide TiS${}_3$: electron doping and plasmons

Cited by in corpus (43)

• Atomically thin p-n junctions based on two-dimensional materials
• Atomistic defect states as quantum emitters in monolayer MoS${}_2$
• Tuning 2D hyperbolic plasmons in black phosphorus
• Piezoelectricity and valley Chern number in inhomogeneous hexagonal 2D crystals
• Excitonic structure of the optical conductivity in MoS${}_2$ monolayers
• Multi-ultraflatbands tunability and effect of spin-orbit coupling in twisted bilayer transition metal dichalcogenides
• An accurate description of the structural and electronic properties of twisted bilayer graphene-boron nitride heterostructures
• Impurity-assisted electric control of spin-valley qubits in monolayer MoS${}_2$
• Tuning band gaps in twisted bilayer MoS${}_2$
• Optical orientation with linearly polarized light in transition metal dichalcogenides
• Family of Two Dimensional Transition Metal Dichlorides Fundamental Properties, Structural Defects, and Environmental Stability
• Out-of-plane transport of 1T-TaS2/graphene-based van der Waals heterostructures
• Strain-induced bound states in transition-metal dichalcogenide bubbles
• Strong Modulation of Optical Properties in Rippled 2D GaSe via Strain Engineering
• A glassy phase in quenched disordered graphene and crystalline membranes
• Ferromagnetic nodal-line metal in monolayer {\em h}-InC
• Thermal properties of graphene under tensile stress
• Zero point motion and direct/indirect bandgap crossover in layered transition-metal dichalcogenides
• Polariton Hall Effect in Transition-Metal Dichalcogenides
• Graphene-TiS${}_3$ heterojunction for selective polar vapor sensing at room temperature
• Formation, stability, and highly nonlinear optical response of excitons to intense light fields interacting with two-dimensional materials
• Electronic Properties of Defective MoS${}_2$ Monolayers Subject to Mechanical Deformations: A First-Principles Approach
• Phonon dispersion in two-dimensional solids from atomic probability distributions
• Plasmon Spectrum of Single Layer Antimonene
• Optical valley separation in two-dimensional semimetals with tilted Dirac cones
• Polarization and plasmons in hot photoexcited graphene
• First principles study of topological phase in chains of $3d$ transition metals
• Spontaneous symmetry breaking and the flat phase of crystalline membranes
• Path-integral simulation of graphene monolayers under tensile stress
• Critical behavior in graphene: spinodal instability at room temperature
• Electron heating and mechanical properties of graphene
• Electronic structure of monolayer antimonene nanoribbons under out-of-plane and transverse bias
• Thermal control of graphene morphology: a signature of its intrinsic surface tension
• Brightening odd-parity excitons in transition-metal dichalcogenides: Rashba spin-orbit interaction, skyrmions, and cavity polaritons
• 2-dimensional semiconductors pave the way towards dopant based quantum computing
• Lattice dynamics in the conformational environment of multilayered hexagonal boron nitride (h-BN) conveys to peculiar infrared optical responses
• Signatures of electronic ordering in transport in graphene flat bands
• Entanglement harvesting in buckled honeycomb lattices by vacuum fluctuations in a microcavity
• Adsorption of Metallic, Metalloidic, and Nonmetallic Adatoms on Two-Dimensional C3N
• The rich structural, electronic and bonding landscape of 1$T$-type TaTe${}_2$ single-layers
• Excitonic and magnetic phases in doped WTe${}_2$ monolayers: a Hartree-Fock approach
• PhD Thesis: Electronic correlations in multiorbital systems
• Excitonic Transport and Intervalley Scattering in Exfoliated MoSe2 Monolayer Revealed by Four-Wave-Mixing Transient Grating Spectroscopy