Effect of a Geometric Potential on the Eigenfunction and Eigenvalue of the Energy of State in a Twisted Graphene Nanoribbon

N. R. Sadykov; Садыков Н. Р.; Yu. A. Petrova; Петрова Ю. А.; I. A. Pilipenko; Пилипенко И. А.; R. S. Khrabrov; Храбров Р. С.; S. N. Skryabin; Скрябин С. Н.

doi:10.31857/S004445372302022X

Effect of a Geometric Potential on the Eigenfunction and Eigenvalue of the Energy of State in a Twisted Graphene Nanoribbon

Autores: Sadykov N.¹, Petrova Y.¹, Pilipenko I.¹, Khrabrov R.¹, Skryabin S.¹
Afiliações:
1. Snezhinsky Institute of Physics and Technology, National Research Nuclear University MEPhI
Edição: Volume 97, Nº 2 (2023)
Páginas: 252-257
Seção: ФИЗИЧЕСКАЯ ХИМИЯ НАНОКЛАСТЕРОВ, СУПРАМОЛЕКУЛЯРНЫХ СТРУКТУР И НАНОМАТЕРИАЛОВ
URL: https://journals.rcsi.science/0044-4537/article/view/136521
DOI: https://doi.org/10.31857/S004445372302022X
EDN: https://elibrary.ru/ELHIFX
ID: 136521

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Resumo

An expression is obtained for an effective geometric potential based on a coordinate system for a nanoribbon twisted in the form of a helicoid. The effective geometric potential for a Schrödinger equation is used to study a graphene nanoribbon of finite length with “armchair” edges under the action of an external electric field parallel to them. Solutions are calculated for the energy levels and wave functions of electrons in the vicinity of the Dirac point. It is shown there is only one state in the transverse direction.

Palavras-chave

geometric potential, twisted nanoribbons, Weingarten equation, kp-type model

Bibliografia

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