Predicting Excitonic Gaps of Semiconducting Single Walled Carbon Nanotubes From a Field Theoretic Analysis

Abstract

We demonstrate that a non-perturbative framework for the treatment of the excitations of single walled carbon nanotubes based upon a field theoretic reduction is able to accurately describe experiment observations of the absolute values of excitonic energies. This theoretical framework yields a simple scaling function from which the excitonic energies can be read off. This scaling function is primarily determined by a single parameter, the charge Luttinger parameter of the tube, which is in turn a function of the tube chirality, dielectric environment, and the tube's dimensions, thus expressing disparate influences on the excitonic energies in a unified fashion. We test this theory explicitly on the data reported in NanoLetters 5, 2314 (2005) and Phys. Rev. B. 82, 195424 (2010) and so demonstrate the method works over a wide range of reported excitonic spectra.

8 pages, 3 figures, 2 tables

References in corpus (7)

• Exciton binding energies in carbon nanotubes from two-photon photoluminescence
• Scaling of Resistance and Electron Mean Free Path of Single-Walled Carbon Nanotubes
• Corner Junction as a Probe of Helical Edge States
• Excited state TBA and renormalized TCSA in the scaling Potts model
• Biexciton stability in carbon nanotubes
• Dynamical Correlations of the Spin-1/2 Heisenberg XXZ Chain in a Staggered Field
• Modelling Magnetic Fluctuations in the Stripe Ordered State