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

Authors: Sadykov N.R.¹, Petrova Y.A.¹, Pilipenko I.A.¹, Khrabrov R.S.¹, Skryabin S.N.¹
Affiliations:
1. Snezhinsky Institute of Physics and Technology, National Research Nuclear University MEPhI
Issue: Vol 97, No 2 (2023)
Pages: 252-257
Section: ФИЗИЧЕСКАЯ ХИМИЯ НАНОКЛАСТЕРОВ, СУПРАМОЛЕКУЛЯРНЫХ СТРУКТУР И НАНОМАТЕРИАЛОВ
Submitted: 27.02.2025
Published: 01.02.2023
URL: https://vietnamjournal.ru/0044-4537/article/view/668844
DOI: https://doi.org/10.31857/S004445372302022X
EDN: https://elibrary.ru/ELHIFX
ID: 668844

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Abstract

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.

Keywords

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

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