2008
DOI: 10.1103/physrevb.77.205407
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Excitons in metallic carbon nanotubes with Aharonov-Bohm flux

Abstract: Exciton effects in metallic carbon nanotubes with and without magnetic flux are studied in an effective-mass approximation. For parallel polarization, an exciton associated with the first excited bands has an appreciable binding energy even in the presence of strong screening of linear bands. The Aharonov-Bohm splitting of the exciton peak is slightly enhanced due to interaction effects. An Aharonov-Bohm gap in the linear bands is strongly enhanced, but the exciton binding energy tends to largely cancel this e… Show more

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Cited by 24 publications
(18 citation statements)
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“…As a note, the higher-order k ·p formalism has been shown to be equivalent with tightbinding approach with regards to both the curvatureinduced band gap and trigonal-warping effects. [44][45][46] The trigonal-warping effect is most clearly shown in a comparison of the first massive bands (|q| = 1) for armchair and non-armchair species in Fig. 1.…”
Section: Band Structure and Selection Rules For Optical Transitiomentioning
confidence: 99%
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“…As a note, the higher-order k ·p formalism has been shown to be equivalent with tightbinding approach with regards to both the curvatureinduced band gap and trigonal-warping effects. [44][45][46] The trigonal-warping effect is most clearly shown in a comparison of the first massive bands (|q| = 1) for armchair and non-armchair species in Fig. 1.…”
Section: Band Structure and Selection Rules For Optical Transitiomentioning
confidence: 99%
“…While excitons are commonly associated with the optical transitions and spectra of semiconductors, recent experiments [54][55][56][57] and theoretical studies 46,[58][59][60][61] have reported the strong influence of excitonic effects in the optical spectra and band structure of metallic SWCNTs. While the optical selection rules governing absorption and resonant Raman processes remain unaffected, 46 the energy positions and line shapes of the major optical features are modified as a result of the formation of excitons. Allowed optical transitions for excitons associated with a particular electronic state still obey the earlier optical selection rules with the additional constraint that only 1 of the 16 possible excitonic states (after taking into account valley and spin degeneracies) is optically active.…”
Section: Excitonic Effectsmentioning
confidence: 99%
“…The small binding energy in the static case leads to asymmetric absorption spectra [4,5], as seen in Fig. 2, where the Coulomb coupling (e 2 /κL)(2πγ/L) −1 = 0.16 is used.…”
Section: Numerical Resultsmentioning
confidence: 99%
“…The exciton peak position is determined by the balance of the above two opposite effects so that the screening should be carefully considered, especially when there are mobile carriers. In this study, we clarify the stability of exciton states in the metallic nanotubes under the dynamic screening by comparing the results with those in the previous studies [4,5] based on the static screening.…”
Section: Introductionmentioning
confidence: 85%
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