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

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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.

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Authors and Affiliations

  1. Departamento de Física, Universidade Federal da Paraíba, 58051-970, João Pessoa, PB, Brazil

    Everton Cavalcante & Claudio Furtado

  2. Centro de Ciências Exatas e Sociais Aplicadas, Universidade Estadual da Paraıba, Patos, PB, Brazil

    Everton Cavalcante

  3. Unidade Acadêmica de Tecnologia de Alimentos, Centro de Ciências e Tecnologia Agroalimentar, Universidade Federal de Campina Grande, 58840-000, Pombal, PB, Brazil

    Josevi Carvalho

Authors
  1. Everton Cavalcante
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  2. Josevi Carvalho
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  3. Claudio Furtado
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Correspondence to Claudio Furtado.

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Cavalcante, E., Carvalho, J. & Furtado, C. Description for rotating C60 fullerenes via an analogue of Gödel-type metric. Eur. Phys. J. Plus 131, 288 (2016). https://doi.org/10.1140/epjp/i2016-16288-x

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