2010
DOI: 10.1088/0953-8984/22/33/334203
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Raman spectra of graphene ribbons

Abstract: Raman spectra of graphene nanoribbons with zigzag and armchair edges are calculated within non-resonant Raman theory. Depending on the edge structure and polarization direction of the incident and scattered photon beam relative to the edge direction, a symmetry selection rule for the phonon type appears. These Raman selection rules will be useful for the identification of the edge structure of graphene nanoribbons.

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Cited by 57 publications
(73 citation statements)
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“…Calculation of the phonon dispersion relations is performed within a force constant model with the interatomic potential including up to the 20th nearest neighbor which is fitted from a first-principles calculation [43,44]. Figure 2(a) shows the calculated results of the phonon dispersion relations (solid lines) and the corresponding experimental phonon dispersion relations (dots) for comparison from Refs.…”
Section: A Raman Intensitymentioning
confidence: 99%
“…Calculation of the phonon dispersion relations is performed within a force constant model with the interatomic potential including up to the 20th nearest neighbor which is fitted from a first-principles calculation [43,44]. Figure 2(a) shows the calculated results of the phonon dispersion relations (solid lines) and the corresponding experimental phonon dispersion relations (dots) for comparison from Refs.…”
Section: A Raman Intensitymentioning
confidence: 99%
“…The vibrational properties and phonon band structure have been calculated with empirical potentials [29] and DFT [30,31]. In addition, there have been theoretical predictions [32,33] of the Raman spectrum, in good agreement with experiments [14,34]. For a finite AGNR the role of zigzag termini states have been studied theoretically, comparing DFT to the many-body Hubbard model [35].…”
Section: Introductionmentioning
confidence: 77%
“…It has a width of W = 4 zigzag "chains" (4-ZGNR) corresponding to a C-C edge distance of 7.26Å. The breaking of sublattice symmetry for the ZGNR and lack of pseudophase result in different selection rules for the matrix elements and difference in for example Raman signals [33]. The ZGNR generally presents spin-polarized edge states exhibiting a small band gap at the DFT level [1], in our case E g ≈ 0.6 eV (we note that this gap disappears in simpler tight-binding descriptions [1] or spin-degenerate DFT calculations).…”
Section: B Pristine Zigzag Nanoribbonmentioning
confidence: 99%
“…The BPM has been previously used for the computation of Raman spectra of CNTs, graphene and nano-ribbons [54,55], and provides a complementary empirical approach for estimating Raman intensities. One limitation of the model 230 is that it cannot be applied to resonant Raman spectra.…”
Section: Raman Intensitiesmentioning
confidence: 99%
“…One limitation of the model 230 is that it cannot be applied to resonant Raman spectra. The BPM has been used in conjunction with periodic calculations using a force-constant model [54,55] and DFT [18], thus avoiding the computationally expensive determination of the polarisability derivatives via quantum chemical calculations. Within the BPM, the bond polarisability for a pair of atoms is given as…”
Section: Raman Intensitiesmentioning
confidence: 99%