{"title":"Hydrogen-Like Impurity States in Doped Bilayer Graphene: Results for Different Trial Functions","authors":"A. A. Avetisyan, K. Moulopoulos, A. P. Djotyan","doi":"10.1134/S1068337224700385","DOIUrl":null,"url":null,"abstract":"<p>The binding energy of the ground state of an impurity electron in doped bilayer graphene is studied by a variational approach in momentum space using different trial functions and taking into account the screening of the Coulomb potential. A monotonic increase in the binding energy of a hydrogen-like impurity with increase of the gap and the tight binding parameter γ<sub>1</sub> is obtained. The results obtained on the basis of different trial functions are compared.</p>","PeriodicalId":623,"journal":{"name":"Journal of Contemporary Physics (Armenian Academy of Sciences)","volume":"59 3","pages":"265 - 271"},"PeriodicalIF":0.5000,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Contemporary Physics (Armenian Academy of Sciences)","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1068337224700385","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The binding energy of the ground state of an impurity electron in doped bilayer graphene is studied by a variational approach in momentum space using different trial functions and taking into account the screening of the Coulomb potential. A monotonic increase in the binding energy of a hydrogen-like impurity with increase of the gap and the tight binding parameter γ1 is obtained. The results obtained on the basis of different trial functions are compared.
期刊介绍：
Journal of Contemporary Physics (Armenian Academy of Sciences) is a journal that covers all fields of modern physics. It publishes significant contributions in such areas of theoretical and applied science as interaction of elementary particles at superhigh energies, elementary particle physics, charged particle interactions with matter, physics of semiconductors and semiconductor devices, physics of condensed matter, radiophysics and radioelectronics, optics and quantum electronics, quantum size effects, nanophysics, sensorics, and superconductivity.
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