Figure 4 | Scientific Reports

Figure 4

From: Resonance Raman enhancement by the intralayer and interlayer electron–phonon processes in twisted bilayer graphene

Figure 4

(ad) Theoretical double-resonance Raman intensity \({\tilde{I}}_{\nu }({\mathbf {q}})\) in graphene as a function of the phonon wave vector \({\mathbf {q}}\) for the iTO, LO, TA and LA branches, calculated without the restriction \({\mathbf {q}}\) = \({\mathbf {q}}_{{\text {M}}}\). The white dotted lines in these figures represent the Moiré vector \({\mathbf {q}}_{{\text {M}}}\) paths as function of the twisting angle, being \(\theta =0\) at the \(\Gamma\) point and \(\theta =30^{\circ }\) at the middle point between K and M. (ef) Differences between \({\tilde{I}}_{\nu }({\mathbf {q}})\) of longitudinal and transverse branches, \({\tilde{I}}_{{\text {LO}}}({\mathbf {q}})-{\tilde{I}}_{{\text {iTO}}}({\mathbf {q}})\) and \({\tilde{I}}_{{\text {LA}}}({\mathbf {q}})-{\tilde{I}}_{{\text {TA}}}({\mathbf {q}})\).

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