%0 Journal Article %1 doi:10.1021/acsnano.5b04707 %A Hartleb, Holger %A Späth, Florian %A Hertel, Tobias %D 2015 %J ACS Nano %K excitons myown %N 10 %P 10461-10470 %R 10.1021/acsnano.5b04707 %T Evidence for Strong Electronic Correlations in the Spectra of Gate-Doped Single-Wall Carbon Nanotubes %U https://doi.org/10.1021/acsnano.5b04707 %V 9 %X We have investigated the photophysical properties of electrochemically gate-doped semiconducting single-wall carbon nanotubes (s-SWNTs). A comparison of photoluminescence (PL) and simultaneously recorded absorption spectra reveals that free-carrier densities correlate well with the first sub-band exciton or trion oscillator strengths but not with PL intensities. We thus used a global analysis of the first sub-band exciton absorption for a detailed investigation of gate-doping, here of the (6,5) SWNT valence band. Our data are consistent with a doping-induced valence band shift according to Δϵv = n × b, where n is the free-carrier density, ϵv is the valence band edge, and b = 0.15 ± 0.05 eV·nm. We also predict such band gap renormalization of one-dimensional gate-doped semiconductors to be accompanied by a stepwise increase of the carrier density by Δn = (32meffb)/(πℏ)2 (meff is effective carrier mass). Moreover, we show that the width of the spectroelectrochemical window of the first sub-band exciton of 1.55 ± 0.05 eV corresponds to the fundamental band gap of the undoped (6,5) SWNTs in our samples and not to the renormalized band gap of the doped system. These observations as well as a previously unidentified absorption band emerging at high doping levels in the Pauli-blocked region of the single-particle Hartree band structure provide clear evidence for strong electronic correlations in the optical spectra of SWNTs.

@article{doi:10.1021/acsnano.5b04707, abstract = { We have investigated the photophysical properties of electrochemically gate-doped semiconducting single-wall carbon nanotubes (s-SWNTs). A comparison of photoluminescence (PL) and simultaneously recorded absorption spectra reveals that free-carrier densities correlate well with the first sub-band exciton or trion oscillator strengths but not with PL intensities. We thus used a global analysis of the first sub-band exciton absorption for a detailed investigation of gate-doping, here of the (6,5) SWNT valence band. Our data are consistent with a doping-induced valence band shift according to Δϵv = n × b, where n is the free-carrier density, ϵv is the valence band edge, and b = 0.15 ± 0.05 eV·nm. We also predict such band gap renormalization of one-dimensional gate-doped semiconductors to be accompanied by a stepwise increase of the carrier density by Δn = (32meffb)/(πℏ)2 (meff is effective carrier mass). Moreover, we show that the width of the spectroelectrochemical window of the first sub-band exciton of 1.55 ± 0.05 eV corresponds to the fundamental band gap of the undoped (6,5) SWNTs in our samples and not to the renormalized band gap of the doped system. These observations as well as a previously unidentified absorption band emerging at high doping levels in the Pauli-blocked region of the single-particle Hartree band structure provide clear evidence for strong electronic correlations in the optical spectra of SWNTs. }, added-at = {2021-01-12T17:52:26.000+0100}, author = {Hartleb, Holger and Späth, Florian and Hertel, Tobias}, biburl = {https://www.bibsonomy.org/bibtex/2bfafec456e2b9c04b739198134f45395/hertel-group}, description = {Evidence for Strong Electronic Correlations in the Spectra of Gate-Doped Single-Wall Carbon Nanotubes | ACS Nano}, doi = {10.1021/acsnano.5b04707}, eprint = {https://doi.org/10.1021/acsnano.5b04707}, interhash = {33f558ebe4d6bc9239a9e01b76146985}, intrahash = {bfafec456e2b9c04b739198134f45395}, journal = {ACS Nano}, keywords = {excitons myown}, note = {PMID: 26381021}, number = 10, pages = {10461-10470}, timestamp = {2021-01-27T09:13:42.000+0100}, title = {Evidence for Strong Electronic Correlations in the Spectra of Gate-Doped Single-Wall Carbon Nanotubes}, url = {https://doi.org/10.1021/acsnano.5b04707}, volume = 9, year = 2015 }