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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.01835 |
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Table of Contents:
- We study Friedel oscillations in a two-dimensional non-interacting electron gas and in a monolayer graphene in the presence of a single impurity. The potential generated by the impurity is modeled using a non-Coulomb interaction ($\sim r^{-η}$). The charge carrier density deviation as a function of distance from the impurity is calculated within the linear response theory. Our results show that, in both a two-dimensional non-interacting electron gas and graphene, the phase of charge carrier density oscillations remains unaffected by the parameter $η$, which characterizes the non-Coulomb nature of the interaction, at large distances from the impurity. The parameter $η$ influences only the amplitude of the oscillations in this regime. The results for an impurity modeled by Coulomb-like potential ($η= 1$) are recovered in both cases.