Abstract

In this paper we study the properties of an electron trapped on a torus surface. We consider the influence of surface curvature on the spectrum and the behaviour of the wave function. In addition, the effects of external electric and magnetic fields were explored. Two toroid configurations were considered, namely, a torus-like configuration and a ring-like configuration both in agreement with experimental data. We also obtain the bound states and discuss the role of geometry on the Landau levels.

Graphical abstract

中文翻译：

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外部电场作用下石墨烯纳米托的电子性质

摘要

在本文中，我们研究了在环形表面上捕获的电子的性质。我们考虑了表面曲率对频谱的影响以及波函数的行为。此外，还探讨了外部电场和磁场的影响。考虑到两个环形结构，即与实验数据一致的环形结构和环形结构。我们还将获得束缚态并讨论几何在Landau层上的作用。

图形概要