Scaling of excitons in carbon nanotubes

Abstract

Light emission from carbon nanotubes is expected to be dominated by excitonic recombination. Here we calculate the properties of excitons in nanotubes embedded in a dielectric, for a wide range of tube radii and dielectric environments. We find that simple scaling relationships give a good description of the binding energy, exciton size, and oscillator strength.

4 pages, 3 figures, accepted for publication in Phys. Rev. Lett

References in corpus (2)

• Excitonic Effects and Optical Spectra of Single-Walled Carbon Nanotubes
• The Ratio Problem in Single Carbon Nanotube Fluorescence Spectroscopy

Cited by in corpus (121)

• Carbon nanomaterials for electronics, optoelectronics, photovoltaics, and sensing
• Exciton binding energies in carbon nanotubes from two-photon photoluminescence
• Stepwise Quenching of Exciton Fluorescence in Carbon Nanotubes by Single Molecule Reactions
• Radial breathing mode of single-walled carbon nanotubes: Optical transition energies and chiral-index assignment
• Theory and it ab initio calculation of radiative lifetime of excitons in semiconducting carbon nanotubes
• Electron-electron interaction effects on optical excitations in semiconducting single-walled carbon nanotubes
• Photon Antibunching in the Photoluminescence Spectra of a Single Carbon Nanotube
• Radiative Lifetime of Excitons in Carbon Nanotubes
• Exciton-phonon effects in carbon nanotube optical absorption
• Exciton energy transfer in nanotube bundles
• Diameter and Chirality Dependence of Exciton Properties in Carbon Nanotubes
• Electron Interactions and Scaling Relations for Optical Excitations in Carbon Nanotubes
• Field-effect transistors assembled from functionalized carbon nanotubes
• Theory of second harmonic generation in few-layered MoS2
• Exciton Ionization, Franz-Keldysh and Stark Effects in Carbon Nanotubes
• Cross-polarized optical absorption of single-walled nanotubes probed by polarized photoluminescence excitation spectroscopy
• Phonon and Electronic Non-radiative Decay of Excitons in Carbon Nanotubes
• Magnetic Brightening of Carbon Nanotube Photoluminescence through Symmetry Breaking
• Optical signatures of quantum dot excitons in carbon nanotubes
• Excitons in Carbon Nanotubes with Broken Time-Reversal Symmetry
• Dependence of exciton transition energy of single-walled carbon nanotubes on surrounding dielectric materials
• Direct Experimental Evidence of Exciton-Phonon Bound States in Carbon Nanotubes
• Anisotropic exciton Stark shift in black phosphorus
• Quantum dot attachment and morphology control by carbon nanotubes
• Breit-Wigner-Fano lineshapes in Raman spectra of graphene
• Charge transport in semiconducting carbon nanotube networks
• Zero-energy states in graphene quantum dots and rings
• Exciton resonances quench the photoluminescence of zigzag carbon nanotubes
• Identification of excitonic phonon sideband by photoluminescence spectroscopy of single-walled carbon-13 nanotubes
• Triplet absorption in carbon nanotubes: a TD-DFT study
• Screening of Excitons in Single, Suspended Carbon Nanotubes
• Universal properties of quasi-one-dimensional excitons in semiconducting single-walled carbon nanotubes and $\pi$-conjugated polymers
• Nonlinear Photoluminescence Excitation Spectroscopy of Carbon Nanotubes: Exploring the Upper Density Limit of One-Dimensional Excitons
• Luminescence Properties of Individual Empty and Water-filled Single-Walled Carbon Nanotubes
• Impact Excitation by Hot Carriers in Carbon Nanotubes
• Systematic Determination of Absolute Absorption Cross-section of Individual Carbon Nanotubes
• Stability of 1-D Excitons in Carbon Nanotubes under High Laser Excitations
• Excitons in narrow-gap carbon nanotubes
• One-dimensional Coulomb problem in Dirac materials
• Bielectron vortices in two-dimensional Dirac semimetals
• Spontaneous exciton dissociation in carbon nanotubes
• Ultrasensitive 1D field-effect phototransistor: CH${}_3$NH${}_3$PbI${}_3$ nanowire sensitized individual carbon nanotube
• Selection Rules for One- and Two-Photon Absorption by Excitons in Carbon Nanotubes
• How does the substrate affect the Raman and excited state spectra of a carbon nanotube?
• Exciton Energy Spectra in Two-Dimensional Graphene Derivatives
• Quantitative calculations of the excitonic energy spectra of semiconducting single-walled carbon nanotubes within a $\pi$-electron model
• Charge Transport in and Electroluminescence from sp${}^3$-Functionalized Carbon Nanotube Networks
• Biexciton stability in carbon nanotubes
• Correlation and dimensional effects of trions in carbon nanotubes
• Intersubband decay of 1-D exciton resonances in carbon nanotubes
• Can impact excitation explain efficient carrier multiplication in carbon nanotube photodiodes?
• Gate-voltage induced trions in suspended carbon nanotubes
• Strong Light-Matter Coupling in Carbon Nanotubes as a Route to Exciton Brightening
• Measurement of a reaction-diffusion crossover in exciton-exciton recombination inside carbon nanotubes using femtosecond optical absorption
• Existence of an upper limit on the density of excitons in carbon nanotubes by diffusion-limited exciton-exciton annihilation: Experiment and theory
• 3D characterization of CdSe nanoparticles attached to carbon nanotubes
• Electron Correlations and Two-Photon States in Polycyclic Aromatic Hydrocarbon Molecules: A Peculiar Role of Geometry
• Mechanism of Electrolyte-Induced Brightening in Single-Wall Carbon Nanotubes
• Chirality Dependence of the $K$-Momentum Dark Excitons in Carbon Nanotubes
• Excitonic Rayleigh scattering spectra of metallic single-walled carbon nanotubes
• Origin of electronic Raman scattering and the Fano resonance in metallic carbon nanotubes
• High energetic excitons in carbon nanotubes directly probe charge-carriers
• Interband transitions in narrow-gap carbon nanotubes and graphene nanoribbons
• Electronic and optical gap renormalization in carbon nanotubes near a metallic surface
• Modulation of trion and exciton formation in monolayer WS2 by dielectric and substrate engineering
• Odd momentum pairing and superconductivity in vertical graphene heterostructures
• Inter-valley scattering induced by Coulomb interaction and disorder in carbon-nanotube quantum dots
• Magneto-spectroscopy of Highly-Aligned Carbon Nanotubes: Identifying the Role of Threading Magnetic Flux
• Giant modulation of the electronic band gap of carbon nanotubes by dielectric screening
• pi-Electron theory of transverse optical excitons in semiconducting single-walled carbon nanotubes
• Direct Observation of Cross-Polarized Excitons in Aligned Single-Chirality Single-Wall Carbon Nanotubes
• Exciton Hierarchies in Gapped Carbon Nanotubes
• Electron-electron interaction effects on the photophysics of metallic single-walled carbon nanotubes
• Charge Transfer from Photoexcited Semiconducting Single-Walled Carbon Nanotubes to Wide-Bandgap Wrapping Polymer
• Transport of quantum excitations coupled to spatially extended nonlinear many-body systems
• Microscopic theory of exciton and trion polaritons in doped monolayers of transition metal dichalcogenides
• Exciton mediated one phonon resonant Raman scattering from one-dimensional systems
• Electron-Hole Asymmetry in Single-Walled Carbon Nanotubes Probed by Direct Observation of Transverse Quasi-Dark Excitons
• Observation of Exciton-Phonon Sideband in Individual Metallic Single-Walled Carbon Nanotubes
• Tunable electronic correlation effects in nanotube-light interactions
• Theory of Exciton Energy Transfer in Carbon Nanotube Composites
• Incidence of Quantum Confinement on Dark Triplet Excitons in Carbon Nanotubes
• Effects of Two-Dimensional Material Thickness and Surrounding Dielectric Medium on Coulomb Interactions and Excitons
• Multiple Exciton Generation in Chiral Carbon Nanotubes: Density Functional Theory Based Computation
• Elucidation of the electronic structure of semiconducting single-walled carbon nanotubes by electroabsorption spectroscopy
• Topologically protected, correlated end spin formation in carbon nanotubes
• Strain and screening: Optical properties of a small-diameter carbon nanotube from first principles
• Photoinduced Absorption within Single-Walled Carbon Nanotube Systems
• Scaling of exciton binding energy with external dielectric function in carbon nanotubes
• Singlet Fission in Chiral Carbon Nanotubes: Density Functional Theory Based Computation
• Many-body effects on the electronic and optical properties of strained semiconducting carbon nanotubes
• Multiple Exciton Generation in Nanostructures for Advanced Photovoltaic Cells
• Band-edge Exciton States in a Single-walled Carbon Nanotube Revealed by Magneto-optical Spectroscopy in Ultra-high Magnetic Field
• First-passage theory of exciton population loss in single-walled carbon nanotubes reveals micron-scale intrinsic diffusion lengths
• Predicting Excitonic Gaps of Semiconducting Single Walled Carbon Nanotubes From a Field Theoretic Analysis
• Electrostatics of straight and bent nanotubes
• Phonon screening of excitons in atomically thin semiconductors
• Macroscopically Self-Aligned and Chiralized Carbon Nanotubes: From Filtration to Innovation
• Computational study of exciton generation in suspended carbon nanotube transistors
• Survey of Exciton-Phonon Sidebands by Magneto-optical Spectroscopy Using Highly Purified (6,5) Single-walled Carbon Nanotubes
• One-dimensional semiconductor in a polar solvent: Solvation and low-frequency dynamics of an excess charge carrier
• Uniform Peak Optical Conductivity in Single-Walled Carbon Nanotubes
• Optical absorption from solvation-induced polarons on nanotubes
• Control of Plasmons in Topological Insulators via Local Perturbations
• Finite-difference time-domain simulation of strong-field ionization: Perfectly matched layer approach
• All-carbon nanotube solar cell devices mimic photosynthesis
• Planar array of semiconducting nanotubes in external electric field: Collective screening and polarizability
• Density matrix renormalization group study of conjugated polymers with transverse pi-conjugation
• Theoretical Insight into the Internal Quantum Efficiencies of Polymer/C${}_{60}$ and Polymer/SWNT Photovoltaic Devices
• Intrinsic Optical Transition Energies in Carbon Nanotubes
• Exciton Relaxation in Carbon Nanotubes via Electronic-to-Vibrational Energy Transfer
• Coherent monochromatic phonons in highly-purified semiconducting single-wall carbon nanotubes
• Linear, diatomic crystal: single-electron states and large-radius excitons
• Exciton Dynamics in Carbon Nanotubes: From the Luttinger Liquid to Harmonic Oscillators
• Excitons in single-walled carbon nanotubes: environmental effect
• Efficient narrow-band light emission from a single carbon nanotube p-n diode
• Independence of Optical Absorption on Auger Ionization in Single-Walled Carbon Nanotubes Revealed by Ultrafast e-h Photodoping
• Recent advances in the internal functionalization of carbon nanotubes: synthesis, optical, and magnetic resonance studies
• Solvation-induced one-dimensional polarons and electron transfer
• Universality in the Photophysics of pi-Conjugated Polymers and Single-Walled Carbon Nanotubes
• Origin of the Background Absorption in Carbon Nanotubes: Phonon-Assisted Excitonic Continuum