Eur. Phys. J. Plus (2016) 131: 288
https://doi.org/10.1140/epjp/i2016-16288-x

Regular Article

Description for rotating C₆₀ fullerenes via an analogue of Gödel-type metric

¹ Departamento de Física, Universidade Federal da Paraíba, 58051-970, João Pessoa, PB, Brazil
² Centro de Ciências Exatas e Sociais Aplicadas, Universidade Estadual da Paraıba, Patos, PB, Brazil
³ Unidade Acadêmica de Tecnologia de Alimentos, Centro de Ciências e Tecnologia Agroalimentar, Universidade Federal de Campina Grande, 58840-000, Pombal, PB, Brazil

^* e-mail: furtado@fisica.ufpb.br

Received: 1 May 2016
Accepted: 26 July 2016
Published online: 29 August 2016

Abstract

In this paper a geometric approach to describe a rotating fullerene molecule with Ih symmetry is developed. We study the quantum dynamics of quasiparticles in a continuum limit considering a description of fullerene in a spherical solution of the Gödel-type space-time with a topological defect. Therefore, we study the molecule in a rotating frame. Also we combine the well-known non-Abelian monopole approach with this geometric description, including the case of the presence of the external Aharonov-Bohm flux. The energy levels and the persistent current for this study are obtained, and we show that they depend on the geometrical and topological properties of the fullerene. Also, we verify recovering of the well-known results for limiting cases.