Theoretical Investigation Of The Effect Of Temperature On The Phonon Dispersion Relation In Graphene
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We have reviewed the temperature dependence of the phonon dispersion relation in graphene [1]. The dispersion relation of graphene was calculated in the harmonic approximation with an empirical potential of long-range carbon bond order potential (LCBOP) [2]. Then, some thermodynamic quantities in the quasiharmonic approximation were calculated, using the same potential. By using LCBOP then calculated the temperature dependence of the phonon dispersion relation and of the bending rigidity in graphene. And also we can summarize that the temperature dependence of the bending rigidity is due to combining in the whole phonon spectrum and calculation of this dependence was not in spite of that possible, since we reviewed possible strategies to adapt the method to this situation.
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