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Graphene  2018 

On the X-Ray Edge Problem in Graphene

DOI: 10.4236/graphene.2018.71001, PP. 1-7

Keywords: Graphene, Dynamical Response

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Abstract:

We calculate the core-hole spectral density in a pristine graphene, where the density of states of itinerant electrons goes linearly to zero at the Fermi level. We consider explicitly two models of electron-hole interaction. In the unscreened Coulomb interaction model, the spectral density is similar to that in metal (for local interaction). Thus there is no δ-function singularity in the core-hole spectral density. In the local interaction model, the δ-function singularity survives, but the interaction leads to the appearance of the background in the spectral density.

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