en
Scientific article
Open access
English

Diffusion-limited exciton-exciton annihilation in single-walled carbon nanotubes: A time-dependent analysis

Publication date2009-05-08
First online date2009-05-08
Abstract

To provide physical insight into the recently observed photoluminescence saturation behavior in single-walled carbon nanotubes implying the existence of an upper limit of exciton densities, we have performed a time-dependent theoretical study of diffusion-limited exciton-exciton annihilation in the general context of reaction-diffusion processes, for which exact treatments exist. By including the radiative recombination decay as a Poissonian process in the exactly solvable problem of one-dimensional diffusion-driven two-particle annihilation, we were able to correctly model the dynamics of excitons as a function of time with different initial densities, which in turn allowed us to reproduce the experimentally observed photoluminescence saturation behavior at high exciton densities. We also performed Monte Carlo simulations of the purely stochastic, Brownian diffusive motion of one-dimensional excitons, which validated our analytical results. Finally, by considering the diameter, chirality, and temperature dependence of this diffusion-limited exciton-exciton annihilation, we point out that high exciton densities in single-walled carbon nanotubes may be achieved at low temperature in an external magnetic field.

eng
Affiliation Not a UNIGE publication
Research group
Citation (ISO format)
SRIVASTAVA, Ajit, KONO, Junichiro. Diffusion-limited exciton-exciton annihilation in single-walled carbon nanotubes: A time-dependent analysis. In: Physical review. B, Condensed matter and materials physics, 2009, vol. 79, n° 20, p. 205407. doi: 10.1103/PhysRevB.79.205407
Main files (1)
Article (Published version)
accessLevelPublic
Identifiers
ISSN of the journal1098-0121
22views
10downloads

Technical informations

Creation10/12/2023 10:23:33 AM
First validation10/16/2023 9:46:52 AM
Update time11/06/2023 10:41:18 AM
Status update11/06/2023 10:41:18 AM
Last indexation02/01/2024 10:51:51 AM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack