Doping of semiconductors is essential in modern electronic and photonic devices. While doping is well understood in bulk semiconductors, the advent of carbon nanotubes and nanowires for nanoelectronic and nanophotonic applications raises some key questions about the role and impact of doping at low dimensionality. Here we show that for semiconducting carbon nanotubes, bandgaps and exciton binding energies can be dramatically reduced upon experimentally relevant doping, and can be tuned gradually over a broad range of energies in contrast to higher dimensional systems. The later feature is made possible by a novel mechanism involving strong dynamical screening effects mediated by acoustic plasmons.Nanomaterials have been lauded for their promise in electronic and photonic applications [1]. Quite often, the imagined nanodevices rely on analogies with those based on bulk semiconductors. However, the true potential of nanomaterials lies in the exploitation of their unique properties to realize entirely new device concepts. In particular, approaches for externally controlling their electronic and optical properties would enable new strategies for device design.Here we propose that such control is possible in carbon nanotubes (CNTs) through electrostatic doping. We find that quasiparticle (QP) band gaps and exciton binding energies can be reduced dramatically by hundreds of meVs upon doping, and yet prominent optical absorption features shift by relatively small amounts. Furthermore, we show that doping has a unique influence on CNT exciton properties: in contrast to bulk excitons, bound excitons in semiconducting CNTs are not quenched by doping and their binding energy can be tuned gradually even at very high doping. These features arise due to the presence of acoustic plasmons and their impact on dynamical screening.We utilize a many-body ab initio approach [2-4] to calculate the electronic and optical properties of electrostatically doped semiconducting CNTs. We focus on the semiconducting (10,0) CNT, with diameter D = 0.78 nm, and perform ab initio calculations [5] at zero doping and for a free carrier concentration ρ = 0.6 holes/nm. We use the GW approach [2] to obtain QP properties near the Γ point and solve the Bethe-Salpeter (BS) equation for the excitonic effects [3]. Applying this approach to doped CNTs necessitates careful consideration because of the presence of acoustic plasmons, a unique feature of low-dimensionality materials [6,7].Indeed, in quasi-1D systems such as CNTs, electron gas and tight-binding models predict "acoustic" plasmons, whose energies approach zero in the long wavelength limitω ap (q → 0) ∝ q ρ log(|q|D/2). Our ab initio calculations also reveal these plasmons in doped CNTs [8]: Fig. 1a shows the inverse dielectric function ε −1 00 (q = 0.35 nm −1 , E) of the (10,0) CNT at ρ = 0.6 holes/nm. The peak in Imε −1 signals a low-energy plasmon, which gives rise to a transition in Reε −1 between a very small value at zero energy and a value close to 1 above the plasmon energy, i.e. a transit...