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.
Highlights
The so-called X-ray edge problem is related to the absorption of high-energy electromagnetic radiation
In the local interaction model, the δ-function singularity survives, but the interaction leads to the appearance of the background in the spectral density
As a result of the core electron ejection, there is a localized change of screened Coulomb potential seen by the conduction electrons
Summary
The so-called X-ray edge problem is related to the absorption of high-energy electromagnetic radiation. As a result of the core electron ejection, there is a localized change of screened Coulomb potential seen by the conduction electrons This sudden change of potential leads to transient perturbation of electron gas that is to creation of electron-hole pairs. This process changes the spectral function of a core hole with respect to the case of insulator. (We only consider the case of pristine graphene.) For the unscreened Coulomb interaction, we obtain the result which is equivalent to the classical result for the metal with the constant density of states of itinerant electrons but with the local interaction [1]. For the monolayer graphene [3] [4] [5]
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