Space charge and screening of a supercritical impurity cluster in monolayer graphene
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866913235465142272 |
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| author | Kolomeisky, Eugene B. Straley, Joseph P. |
| author_facet | Kolomeisky, Eugene B. Straley, Joseph P. |
| contents | Coulomb impurity of charge $Ze$ is known to destabilize the ground state of undoped graphene with respect to creation of screening space charge if $Z$ exceeds a critical value of $1/2α$ set by material's fine structure constant $α$. Recent experimental advances made it possible to explore this transition in a controlled manner by tuning $Z$ across the critical point. Combined with relatively large value of $α$ this opens a possibility to study graphene's screening response to a supercritical impurity $Zα\gg1$ when the screening charge is large, and the Thomas-Fermi analysis, that we revisit, is adequate. The character of screening in this regime is controlled by the dimensionless screening parameter $Zα^{2}$. Specifically, for circular impurity cluster most of the screening charge in the weak-screening regime $Zα^{2}\ll1$ is found to reside outside the cluster. The strong-screening regime $Zα^{2}\gg1$ provides a realization of the Thomson atom: most of the screening charge is inside the cluster nearly perfectly neutralizing the source charge with the exception of a transition layer near cluster's edge where the rest of the space charge is localized. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_02199 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Space charge and screening of a supercritical impurity cluster in monolayer graphene Kolomeisky, Eugene B. Straley, Joseph P. Mesoscale and Nanoscale Physics Quantum Physics Coulomb impurity of charge $Ze$ is known to destabilize the ground state of undoped graphene with respect to creation of screening space charge if $Z$ exceeds a critical value of $1/2α$ set by material's fine structure constant $α$. Recent experimental advances made it possible to explore this transition in a controlled manner by tuning $Z$ across the critical point. Combined with relatively large value of $α$ this opens a possibility to study graphene's screening response to a supercritical impurity $Zα\gg1$ when the screening charge is large, and the Thomas-Fermi analysis, that we revisit, is adequate. The character of screening in this regime is controlled by the dimensionless screening parameter $Zα^{2}$. Specifically, for circular impurity cluster most of the screening charge in the weak-screening regime $Zα^{2}\ll1$ is found to reside outside the cluster. The strong-screening regime $Zα^{2}\gg1$ provides a realization of the Thomson atom: most of the screening charge is inside the cluster nearly perfectly neutralizing the source charge with the exception of a transition layer near cluster's edge where the rest of the space charge is localized. |
| title | Space charge and screening of a supercritical impurity cluster in monolayer graphene |
| topic | Mesoscale and Nanoscale Physics Quantum Physics |
| url | https://arxiv.org/abs/2309.02199 |