Theoretical methods for excitonic physics in two-dimensional materials
arXiv:2202.12010 · doi:10.1002/pssb.202200097
Abstract
In this tutorial we introduce the reader to several theoretical methods of determining the exciton wave functions and the corresponding eigenenergies. The methods covered are either analytical, semi-analytical, or numeric. We make explicit all the details associated with the different methods, thus allowing newcomers to do research on their own, without experiencing a steep learning curve. The tutorial starts with a variational method and ends with a simple semi-analytical approach to solve the Bethe-Salpeter equation in two-dimensional (2D) gapped materials. For the first methods addressed in this tutorial, we focus on a single layer of hexagonal Boron Nitride (hBN) and of transition metal dichalcogenide (TMD), as these are exemplary materials in the field of 2D excitons. For explaining the Bethe- Salpeter method we choose the biased bilayer graphene, which presents a tunnable band gap. The system has the right amount of complexity (without being excessive). This allows the presentation of the solution of the Bethe-Salpeter equation in a context that can be easily generalized to more complex systems or to apply it to simpler models.
arXiv comment31 pages, 111 references; we welcome comments and requests to add additional references; several changes relatively to version V1
References in corpus (84)
- Electric Field Effect in Atomically Thin Carbon Films
- Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
- Coupled spin and valley physics in monolayers of MoS2 and other group-VI dichalcogenides
- Graphene plasmonics: A platform for strong light-matter interaction
- Tuning superconductivity in twisted bilayer graphene
- Excitons in atomically thin transition metal dichalcogenides
- Biased bilayer graphene: semiconductor with a gap tunable by electric field effect
- Isolation and characterization of few-layer black phosphorus
- Optical Spectrum of MoS: Many-body Effects and Diversity of Exciton States
- Graphene bilayer with a twist: electronic structure
- Observation of Van Hove singularities in twisted graphene layers
- k.p theory for two-dimensional transition metal dichalcogenide semiconductors
- Exciton physics and device application of two-dimensional transition metal dichalcogenide semiconductors
- Graphene Bilayers with a Twist
- Evidence of Klein tunneling in graphene p-n junctions
- Dielectric screening in two-dimensional insulators: Implications for excitonic and impurity states in graphane
- Electric Field Tunable Correlated States and Magnetic Phase Transitions in Twisted Bilayer-Bilayer Graphene
- Continuum Model of the Twisted Bilayer
- Exceptional ballistic transport in epitaxial graphene nanoribbons
- Observation of an electrically tunable band gap in trilayer graphene
- Highly crystalline 2D superconductors
- Superconductivity in rhombohedral trilayer graphene
- Nonanalyticity, Valley Quantum Phases, and Light-like Exciton Dispersion in Monolayer TMDs: Theory and First-Principles Calculations
- Excitons in van der Waals heterostructures: The important role of dielectric screening
- Revealing the Biexciton and Trion-exciton Complexes in BN Encapsulated WSe2
- Analytical approach to excitonic properties of MoS2
- Control of Exciton Valley Coherence in Transition Metal Dichalcogenide Monolayers
- Indirect excitons in van der Waals heterostructures at room temperature
- Magnetic Proximity Effects in Transition-Metal Dichalcogenides: Converting Excitons
- Electronic properties of a biased graphene bilayer
- Berry phase modification to the energy spectrum of excitons
- Electronic polarizability as the fundamental variable in the dielectric properties of two-dimensional materials
- Inter-valley coherent order and isospin fluctuation mediated superconductivity in rhombohedral trilayer graphene
- The two-dimensional hydrogen atom revisited
- Screened potential of a point charge in a thin film
- Unconventional superconductivity in systems with annular Fermi surfaces: Application to rhombohedral trilayer graphene
- Anisotropic exciton Stark shift in black phosphorus
- Tunable Excitons in Biased Bilayer Graphene
- Recent advances in exciton based quantum information processing in quantum dot nanostructures
- Tuning many-body interactions in graphene: The effects of doping on excitons and carrier lifetimes
- Band gap measurements of monolayer h-BN and insights into carbon-related point defects
- Band Topology, Orbital Phase Winding, and Selection Rules in Excitonic Physics in Two Dimensions
- Superconductivity from Repulsive Interactions in Rhombohedral Trilayer Graphene: a Kohn-Luttinger-Like Mechanism
- Intrinsic Lifetime of Higher Excitonic States in Tungsten Diselenide Monolayers
- Excitons and trions in monolayer transition metal dichalcogenides: A comparative study between the multiband model and the quadratic single-band model
- Excitonic effects in the optical properties of 2D materials: An equation of motion approach
- Prediction of hyperbolic exciton-polaritons in monolayer black phosphorus
- Excitons, trions, and biexcitons in transition metal dichalcogenides: magnetic field dependence
- Spatial coherence of room-temperature monolayer WSe exciton-polaritons in a trap
- Nonlinear optical selection rules of excitons in monolayer transition metal dichalcogenides
- Stark effect in low-dimension hydrogen
- Electronic properties of monolayer and bilayer graphene
- Absorption of single-layer hexagonal boron nitride in the ultraviolet
- Gauge invariance of excitonic linear and nonlinear optical response
- Dark exciton-exciton annihilation in monolayer WSe
- Correlated Insulating Phases in the Twisted Bilayer Graphene
- Optical response and band structure of LiCoO2 including electron-hole interaction effects
- Electrostatics of electron-hole interactions in van der Waals heterostructures
- Strong Valley Zeeman Effect of Dark Excitons in Monolayer Transition Metal Dichalcogenides in a Tilted Magnetic Field
- Mott insulating state and superconductivity in an ABC graphene trilayer
- Absorption and optical selection rules of tunable excitons in biased bilayer graphene
- A colloquium on the variational method applied to excitons in 2D materials
- Two limit cases of twisted hBN bilayers and their excitonic response
- Analytical description of the 1s exciton linewidth temperature-dependence in transition metal dichalcogenides
- Excitons in Phosphorene: A Semi-Analytical Perturbative Approach
- Excitonic complexes in anisotropic atomically thin two-dimensional materials: black phosphorus and TiS
- Zitterbewegung of moiré excitons in twisted MoS/WSe hetero-bilayers
- Exciton oscillator strength in two-dimensional Dirac materials
- Monolayer transition metal dichalcogenides in strong magnetic fields: Validating the Wannier model using a microscopic calculation
- Spectrum of exciton states in monolayer transition metal dichalcogenides: angular momentum and Landau levels
- Excitonic theory of doping-dependent optical response in atomically thin semiconductors
- Optical Emission from Light-like and Particle-like Excitons in Monolayer Transition Metal Dichalcogenides
- Calculation of the nonlinear response functions of intra-exciton transitions in two-dimensional transition metal dichalcogenides
- Tuning exciton recombination rates in doped transition metaldichalcogenides
- Exciton absorption, band structure, and optical emission in biased bilayer graphene
- Excitons without effective mass: biased bilayer graphene
- Excitonic optical spectra and energy structures in a one-dimensional Mott insulator demonstrated by applying a many-body Wannier functions method to a charge model
- Microscopic theory of the polarizability of transition metal dichalcogenides excitons: Application to WSe2
- Probing the bright exciton state in twisted bilayer graphene via resonant Raman scattering
- Dynamic polarizability of low-dimensional excitons
- Third-order polarizability of interlayer excitons in hetero-bilayers
- Sommerfeld enhancement factor in two-dimensional Dirac materials
- Excitonic effects in twisted bilayer graphene
- Proper ab-initio dielectric function of 2D materials and their polarizable thickness
Cited by in corpus (14)
- Chiral and topological superconductivity in isospin polarized multilayer graphene
- Emergent bright excitons with Rashba spin-orbit coupling in atomic monolayers
- Excitonic Instability in Ta2Pd3Te5 Monolayer
- Probing excitons with time-resolved momentum microscopy
- Moiré excitons in biased twisted bilayer graphene under pressure
- Anisotropic linear and non-linear excitonic optical properties of buckled monolayer semiconductors
- Tunable nonlinear excitonic optical response in biased bilayer graphene
- Tunable exciton polaritons in band-gap engineered hexagonal boron nitride
- Wannier Excitons Confined in Hexagonal Boron Nitride Triangular Quantum Dots
- Organic-Inorganic Polaritonics: Linking Frenkel and Wannier-Mott Excitons
- Excitonic optical absorption in strained monolayer CrSBr
- Gauge-invariant optical selection rules for excitons
- Contribution to Excitonic Linewidth from Free Carrier-Exciton Scattering in Layered Materials: The example of h-BN
- Excitonic instability in transition metal dichalcogenides