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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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| _version_ | 1866909760615350272 |
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| author | Máthé, Levente Grosu, Ioan |
| author_facet | Máthé, Levente Grosu, Ioan |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01835 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Friedel oscillations in a two-dimensional electron gas and monolayer graphene with a non-Coulomb impurity potential Máthé, Levente Grosu, Ioan Mesoscale and Nanoscale Physics 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. |
| title | Friedel oscillations in a two-dimensional electron gas and monolayer graphene with a non-Coulomb impurity potential |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2505.01835 |