Abstract:In metallic systems, strong screening of the Coulomb interaction between an electron and a hole by free electrons largely prevents the formation of an exciton. In one-dimensional metallic systems, however, the screening effect is significantly reduced. Recent theoretical and experimental studies suggest that an exciton state can be realized in metallic single-walled carbon nanotubes (SWNTs) due to their ideal one-dimensional structure. Here, we experimentally investigate photoluminescence in both metallic-SWNT… Show more
“…Our result indicate otherwise and are also in a good agreement with experiments reported in Ref. [16]. The value of the inverse lifetime now follows from Eq.…”
Section: B the Variational Solutionsupporting
confidence: 93%
“…This is consistent with experimental results obtained through ultrafast luminescence. 16 Below we derive our main results, Eqs. ( 4) and ( 5).…”
The difficulty of describing excitons in semiconducting single-wall nanotubes analytically lies with the fact that excitons can neither be considered strictly one-nor two-dimensional objects. However, the situation changes in the case of metallic nanotubes where, by virtue of screening from gapless metallic subbands, the radius of the exciton becomes much larger than the radius of the nanotube Rex ≫ R. Taking advantage of this, we develop the theory of excitons in metallic nanotubes, determining that their binding energy is about 0.08v/R, in agreement with the existing experimental data. Additionally, because of the presence of the gapless subbands, there are processes where bound excitons are scattered into unbound electron-hole pairs belonging to the gapless subbands. Such processes lead to a finite exciton lifetime and the broadening of its spectral function. We calculate the corresponding decay rate of the excitons.
“…Our result indicate otherwise and are also in a good agreement with experiments reported in Ref. [16]. The value of the inverse lifetime now follows from Eq.…”
Section: B the Variational Solutionsupporting
confidence: 93%
“…This is consistent with experimental results obtained through ultrafast luminescence. 16 Below we derive our main results, Eqs. ( 4) and ( 5).…”
The difficulty of describing excitons in semiconducting single-wall nanotubes analytically lies with the fact that excitons can neither be considered strictly one-nor two-dimensional objects. However, the situation changes in the case of metallic nanotubes where, by virtue of screening from gapless metallic subbands, the radius of the exciton becomes much larger than the radius of the nanotube Rex ≫ R. Taking advantage of this, we develop the theory of excitons in metallic nanotubes, determining that their binding energy is about 0.08v/R, in agreement with the existing experimental data. Additionally, because of the presence of the gapless subbands, there are processes where bound excitons are scattered into unbound electron-hole pairs belonging to the gapless subbands. Such processes lead to a finite exciton lifetime and the broadening of its spectral function. We calculate the corresponding decay rate of the excitons.
“…In this scenario, the slow decay component is attributed to the recombination of a hole in the PT with an electron in the SWNT. The decay time constant of 11 ps is reasonable for electron–hole recombination because the distance between the PT and the SWNT wall (∼0.4 nm) is of the same order of magnitude as the exciton Bohr radius in SWNTs, and the exciton lifetime is 10–200 ps depending on competing nonradiative processes. , Ascribing the fast component to electron transfer from the PT to the SWNT, the electron transfer rate is estimated to be 1.9 × 10 12 s –1 , which is very close to the transfer rate (2.3 × 10 12 s –1 ) between P3HT and SWNT for P3HT-wrapped SWNTs …”
Section: Results
and Discussionmentioning
confidence: 62%
“…We can compare these relaxation dynamics with the interband relaxation seen in pristine SWNTs; the experimentally determined relaxation time for E 22 excitons to the E 11 exciton state with phonon emission is as short as 40 fs, 43,47 which is 1 order of magnitude shorter than that observed for our hybrid system (0.38 ps). The E 22 −E 11 relaxation time is well explained by theoretical calculations taking into account the electron−phonon coupling via a deformation-potential interaction.…”
We investigate the photophysical properties of polymer-encapsulating single-walled carbon nanotubes (SWNTs) using absorption spectroscopy, photoconductivity spectroscopy, and femtosecond pump−probe spectroscopy. In a polythiophene (PT)-encapsulating SWNT film, one or two PT layers are encapsulated within SWNTs, depending on the tube diameter. For single encapsulated PT layers, the photoconductivity action spectrum shows a large photocurrent signal corresponding to absorption bands associated with PT exciton and continuum states, indicating charge transfer between the PT and the small-diameter SWNT. Pump−probe measurements show that electron transfer to the SWNT occurs in 0.53 ps and electrons then recombine with holes remaining in the PT in 11 ps. In a coronene-polymer-encapsulating SWNT film, weak absorption bands at 1.7 and 3.4 eV are observed in addition to the SWNT spectrum. Band calculations allow these to be assigned to optical transitions between the electronic states originating from the coronene polymer, hybridized with those of the SWNT. The pump−probe measurements reveal fast electron relaxation (0.38 ps) from the conduction band of the coronene polymer to the lowest conduction band originating from the SWNT and subsequent recombination (1.5 ps) of these electrons with holes in the top valence band originating from the coronene polymer.
“…The presence of metallic SWNTs (m-SWNTs) in the as-synthesized mixture of SWNTs having different chiralities can be disadvantageous when specific semiconducting electronic properties are needed, as in the case of most optoelectronic applications. The presence of m-SWNTs could be notably detrimental to the optical emission as they quench the photoluminescence (PL) signal of semiconducting SWNTs (s-SWNTs) by means of inter-nanotube relaxation [11][12][13]. m-SWNTs can also degrade carbon nanotube-FET characteristics as they prevent the use of high density nanotube networks by reducing the ON/OFF current ratio to unacceptable values [14][15][16].…”
International audienceSingle wall carbon nanotubes (SWNTs) are known for their exceptional electronic properties. However, most of the synthesis methods lead to the production of a mixture of carbon nanotubes having different chiralities associated with metallic (m-SWNTs) and semiconducting (s-SWNTs) characteristics. For application purposes, effective methods for separating these species are highly desired. Here, we report a protocol for achieving a highly selective separation of s-SWNTs that exhibit a fundamental optical transition centered at 1,550 nm. We employ a polymer assisted sorting approach, and the influence of preparation methods on the optical and transport performances of the separated nanotubes is analyzed. As even traces of m-SWNTs can critically affect performances, we aim to produce samples that do not contain any detectable fraction of residual m-SWNTs
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