Abstract
A model of exciton screening by photo-generated free charges in semiconducting single-walled carbon nanotubes is considered to interpret recent data from the only experiment on this phenomenon reported in the literature. The potential of electron-hole interactions on the nanotube surface is computed starting from the derived full two-dimensional expression. The error of screened potential numerical computations is analyzed in detail by also including strategies for convergence acceleration and computing time optimization. The two-dimensional Wannier equation on the nanotube surface is solved by means of variational methods and convergence to published results in the unscreened case is demonstrated. The effect of screening charges on the exciton energy is estimated numerically by taking advantage of memoization algorithms. We show that a firm connection can be made between the present description and data readily available from future similar reflectivity experiments to constrain the linear density of photo-generated carriers. Applications of dielectric function modulation to dispersion force manipulation and nanodevice actuation are briefly discussed.
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