Anisotropic effects in two-dimensional materials

Abstract

Among a huge variety of known two-dimensional materials, some of them have anisotropic crystal structures; examples include so different systems as a few-layer black phoshphorus (phosphorene), beryllium nitride BeN${}_4$, van der Waals magnet CrSBr, rhenium dichalgogenides ReX${}_2$. As a consequence, their optical and electronic properties turn out to be highly anisotropic as well. In some cases, the anisotropy results not just in a smooth renormalization of observable properties in comparison with the isotropic case but in the appearance of dramatically new physics. The examples are hyperbolic plasmons and excitons, strongly anisotropic ordering of adatoms at the surface of two-dimensional or van der Waals materials, essential change of transport and superconducting properties. Here, we present a systematic review of electronic structure, transport and optical properties of several representative groups of anisotropic two-dimensional materials including semiconductors, anisotropic Dirac and semi-Dirac materials, as well as superconductors.

Review article, 30 pages, 10 figures. Final version

References in corpus (153)

• Electric Field Effect in Atomically Thin Carbon Films
• Van der Waals heterostructures
• Black phosphorus field-effect transistors
• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• 2D materials and van der Waals heterostructures
• Phosphorene: A New 2D Material with High Carrier Mobility
• High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus
• Rediscovering Black Phosphorus: A Unique Anisotropic 2D Material for Optoelectronics and Electronics
• Tunable Band Gap and Anisotropic Optical Response in Few-layer Black Phosphorus
• Tuning superconductivity in twisted bilayer graphene
• Experimental Realization of Two-Dimensional Boron Sheets
• Magnetic 2D materials and heterostructures
• Fast and broadband photoresponse of few-layer black phosphorus field-effect transistors
• Isolation and characterization of few-layer black phosphorus
• The Renaissance of Black Phosphorus
• A tight-binding approach to uniaxial strain in graphene
• Electric field effect in ultrathin black phosphorus
• Beyond Eliashberg superconductivity in MgB2: anharmonicity, two-phonon scattering, and multiple gaps
• Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
• Observation of tunable bandgap and anisotropic Dirac semimetal state in black phosphorus
• Graphene Bilayers with a Twist
• Anisotropic behaviors of massless Dirac fermions in graphene under periodic potential
• Quasiparticle band structure and tight-binding model for single- and bilayer black phosphorus
• Semimetallic Two-Dimensional Boron Allotrope with Massless Dirac Fermions
• Plasmons and screening in monolayer and multilayer black phosphorus
• Hyperbolic metamaterials: fundamentals and applications
• Highly crystalline 2D superconductors
• Electronic structure of quantum materials studied by angle-resolved photoemission spectroscopy
• Twistronics: Manipulating the Electronic Properties of Two-dimensional Layered Structures through their Twist Angle
• Topological Phases in Two-Dimensional Materials: A Brief Review
• Electric Field Induced Topological Phase Transition in Two-Dimensional Few-layer Black Phosphorus
• Dirac fermions in borophene
• Artificial graphene as a tunable Dirac material
• 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
• Observation of novel edge states in photonic graphene
• Merging of Dirac points in a two-dimensional crystal
• First-principles calculations of charge carrier mobility and conductivity in bulk semiconductors and two-dimensional materials
• Simulation and detection of Dirac fermions with cold atoms in an optical lattice
• Anisotropic 2D materials for tunable hyperbolic plasmonics
• Electrically Tunable Quasi-Flat Bands, Conductance and Field Effect Transistor in Phosphorene
• Half-metallic semiDirac point generated by quantum confinement in TiO${}_2$/VO${}_2$ nanostructures
• Strain effect on the optical conductivity of graphene
• Tight-binding modeling and low-energy behavior of the semi-Dirac point
• Toward a realistic description of multilayer black phosphorus: from $GW$ approximation to large-scale tight-binding simulations
• Ab initio study of electron-phonon interaction in phosphorene
• A universal Hamiltonian for the motion and the merging of Dirac cones in a two-dimensional crystal
• TiS3 transistors with tailored morphology and electrical properties
• High-pressure polymeric nitrogen allotrope with the black phosphorus structure
• Electronic properties of 8-Pmmn borophene
• Determination of layer-dependent exciton binding energies in few-layer black phosphorus
• High-pressure synthesis of Dirac materials: layered van der Waals bonded BeN${}_4$ polymorph
• Excitons in anisotropic 2D semiconducting crystals
• The bulk van der Waals layered magnet CrSBr is a quasi-1D material
• Intrinsic Charge Carrier Mobility in Single-Layer Black Phosphorus
• Quasiparticle Band Gaps, Excitonic Effects, and Anisotropic Optical Properties of Monolayer Distorted 1-T Diamond-chain Structures
• Van der Waals thin films of WTe2 for natural hyperbolic plasmonic surfaces
• Fermi Condensation Near van Hove Singularities Within the Hubbard Model on the Triangular Lattice
• Observation of an anisotropic Dirac cone reshaping and ferrimagnetic spin polarization in an organic conductor
• Optical Properties of Strained Graphene
• Landau levels of single layer and bilayer phosphorene
• Quasi 1D electronic transport in a 2D magnetic semiconductor
• Transport and Optical Properties of Single- and Bilayer Black Phosphorus with Defects
• Black Phosphorus Plasmonics: Anisotropic Elliptical Propagation and Nonlocality-Induced Canalization
• Emergence of Two-Dimensional Massless Dirac Fermions, Chiral Pseudospins, and Berry's Phase in Potassium Doped Few-Layer Black Phosphorus
• Anisotropic two-dimensional electron gas at SrTiO3(110) protected by its native overlayer
• Unexpected Anisotropic Two Dimensional Electron Gas at the LaAlO3/SrTiO3 (110) Interface
• Mermin-Wagner theorem, flexural modes, and degraded carrier mobility in 2D crystals with broken horizontal mirror (${\sigma }_{\mathrm{h}}$) symmetry
• Topological Protected Dirac Cones in Compressed Bulk Black Phosphorus
• Robustness of the van Hove scenario for high-Tc superconductors
• Intercalant-independent transition temperature in superconducting black phosphorus
• Graphene Dirac fermions in one-dimensional inhomogeneous field profiles: Transforming magnetic to electric field
• The Optical Properties and Plasmonics of Anisotropic 2-Dimensional Materials
• Mobility anisotropy in monolayer black phosphorus due to charged impurities
• Excitons in atomically thin black phosphorus
• Anisotropic exciton Stark shift in black phosphorus
• Emergence of a Chern-insulating state from a semi-Dirac dispersion
• Van der Waals heteroepitaxial growth of monolayer Sb in puckered honeycomb structure
• Atomistic spin textures on-demand in the van der Waals layered magnet CrSBr
• Two-gap superconductivity in heavily n-doped graphene: ab initio Migdal-Eliashberg theory
• Theoretical studies of electronic transport in mono- and bi-layer phosphorene: A critical overview
• Reentrant violation of special relativity in the low-energy corner
• Orbital magnetism of coupled bands models
• Tuning 2D hyperbolic plasmons in black phosphorus
• Anisotropic plasmons, Friedel oscillations and dynamical screening in $8-Pmmn$ borophene
• Two-body problem in graphene
• Phenomenology of a semi-Dirac semi-Weyl semi-metal
• Anomalous Spin Correlations and Mass-Generating Excitonic Instability of Interacting Weyl Fermions
• Laser-induced topological transitions in phosphorene with inversion symmetry
• Multilayers black phosphorus: from tight-binding to continuum description
• Dirac cones beyond the honeycomb lattice: a symmetry based approach
• Metal-insulator transition through a semi-Dirac point in oxide nanostructures: VO${}_2$ (001) layers confined within TiO${}_2$
• Measurable lattice effects on the charge and magnetic response in graphene
• Effective mass theory for the anisotropic exciton in 2D crystals: Application to phosphorene
• Ultrahigh stiffness and anisotropic Dirac cones in BeN4 and MgN4 monolayers: A first-principles study
• Optical properties of massive anisotropic tilted Dirac systems
• Optical properties of a semi-Dirac material
• k-Space imaging of anisotropic 2D electron gas in GaN/GaAlN high-electron-mobility transistor heterostructures
• Anisotropic plasmons, excitons and electron energy loss spectroscopy of phosphorene
• Exciton binding energies and luminescence of phosphorene under pressure
• Strong electron-phonon coupling and its influence on the transport and optical properties of hole-doped single-layer InSe
• Diffusion of Dirac fermions across a topological merging transition in two dimensions
• Coexisting charge density wave and ferromagnetic instabilities in monolayer InSe
• Thermopower in an anisotropic two-dimensional Weyl semimetal
• Linear response correlation functions in strained graphene
• An atomic Boltzmann machine capable of on-chip learning
• Anisotropic AC conductivity of strained graphene
• Van Hove singularity and ferromagnetic instability in phosphorene
• Quantum Monte Carlo calculations of energy gaps from first principles
• Electronic bandstructure and van der Waals coupling of ReSe2 revealed by high-resolution angle-resolved photoemission spectroscopy
• Inverse Funnel Effect of Excitons in Strained Black Phosphorus
• Anomalous thermal expansion in $\alpha$-titanium
• Screening and plasmons in pure and disordered single- and bilayer black phosphorus
• $k\cdot p$ theory for phosphorene: Effective g-factors, Landau levels, and excitons
• Paramagnetic Electronic Structure of CrSBr: Comparison between Ab Initio GW Theory and Angle-Resolved Photoemission Spectroscopy
• An orbitally derived single-atom magnetic memory
• Tilt-induced kink in the plasmon dispersion of two-dimensional Dirac electrons
• Graphene in periodic deformation fields: dielectric screening and plasmons
• Dielectric tunability of magnetic properties in orthorhombic ferromagnetic monolayer CrSBr
• Improvements in the $GW$ and Bethe-Salpeter-equation calculations on phosphorene
• Effective Dirac Hamiltonian for anisotropic honeycomb lattices: optical properties
• Tilted-Cone Induced Cusps and Nonmonotonic Structures in Dynamical Polarization Function of Massless Dirac Fermions
• Flexuron, a self-trapped state of electron in crystalline membranes
• Dynamical polarization and plasmons in a two-dimensional system with merging Dirac points
• Anisotropic features in the electronic structure of the two-dimensional transition metal trichalcogenide TiS${}_3$: electron doping and plasmons
• Coulomb interactions and screening effects in few-layer black phosphorus: a tight-binding consideration beyond the long-wavelength limit
• Anisotropic two-dimensional screening at the surface of black phosphorus
• Collective modes in anisotropic double layer systems
• Two-dimensional natural hyperbolic materials: From polaritons modulation to applications
• Transference of Fermi Contour Anisotropy to Composite Fermions
• Kubo conductivity for anisotropic tilted Dirac semimetals and its application to 8-Pmmn borophene: The role of different frequency, temperature and scattering limits
• Exciton in phosphorene: Strain, impurity, thickness and heterostructure
• Lattice symmetries, spectral topology and opto-electronic properties of graphene-like materials
• Thermoelectric response in nodal-point semimetals
• Hyperbolic plasmons in massive tilted 2D Dirac materials
• Numerical study of anisotropy in a composite Fermi liquid
• Theroy of anisotropic plasmons
• Magneto-optical conductivity of anisotropic two-dimensional Dirac-Weyl materials
• Highly Anisotropic Electronic and Mechanical Properties of Monolayer and Bilayer As2S3
• Excitons in Phosphorene: A Semi-Analytical Perturbative Approach
• Interplay between in-plane and flexural phonons in electronic transport of two-dimensional semiconductors
• Excitonic instability of two-dimensional tilted Dirac cones
• Anisotropic Electronic Structure of the Two-Dimensional Electron Gas at the AlOx/KTaO3(110) interface
• Plasmons in anisotropic Dirac systems
• Transport Anisotropy in One-dimensional Graphene Superlattice in the High Kronig-Penney Potential Limit
• Coulomb drag in anisotropic systems: a theoretical study on a double-layer phosphorene
• Universal Fermi-surface anisotropy renormalization for interacting Dirac fermions with long-range interactions
• Quantum well confinement and competitive radiative pathways in the luminescence of black phosphorus layers
• Two-dimensional anisotropic Dirac materials PtN4C2 and Pt2N8C6 with quantum spin and valley Hall effects
• Emergent continuous symmetry in anisotropic flexible two-dimensional materials
• Effect of flexural phonons on the hole states in single-layer black phosphorus
• Gating orbital memory with an atomic donor
• Disorder-driven transition to tubular phase in anisotropic two-dimensional materials

Cited by in corpus (6)

• Roadmap for Photonics with 2D Materials
• A new helical InSeI polymorph: crystal structure and polarized Raman spectroscopy study
• Semi-Dirac spin liquids and frustrated quantum magnetism on the trellis lattice
• Exchange-Correlation Functionals in 2D Materials: Applications, Challenges, and Limitations
• Fermi energy sensitive universal conductance fluctuations in anisotropic materials
• Non-magnetic layers with a single Dirac cone at high-symmetry point of the Brillouin zone