Description for rotating $C_{60}$ fullerenes via Gödel-type metric

Abstract

In this contribution a geometric approach to describe a rotating fullerene molecule with Ih symmetry is developed. We analyze the quantum dynamics of quasiparticles in continuum limit considering a description of fullerene in a spherical solution of the Gödel-type space-time with a topological defect. As a result, we study the molecule in a rotating frame. Also we combine the well know 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.

!5 pages, no figures

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Cited by in corpus (8)

• Rotating effects on the scalar field in the cosmic string spacetime, in the spacetime with space-like dislocation and in the spacetime with a spiral dislocation
• Fermions in Gödel-type background space-times with torsion and the Landau quantization
• Non-relativistic quantum effects on the harmonic oscillator in a spacetime with a distortion of a vertical line into a vertical spiral
• Topological and rotating effects on the Dirac field in the spiral dislocation spacetime
• Weyl fermions in a family of Gödel-type geometries with a topological defect
• Topological and noninertial effects in an Aharonov-Bohm ring
• Effects of rotation in the spacetime with a distortion of a vertical line into a vertical spiral
• Weyl Fermions in a Linear Class of Gödel-Type Space-Time Backgrounds