Description for rotating $C_{60}$ fullerenes via G\"odel-type metric

TL;DR

This paper introduces a geometric model using G"odel-type metrics to analyze the quantum dynamics of rotating C60 fullerenes, incorporating topological defects, monopoles, and external flux, revealing dependence of energy levels and currents on geometry.

Contribution

It develops a novel geometric approach combining G"odel-type metrics and non-Abelian monopoles to describe rotating fullerenes with topological defects and external flux.

Findings

Energy levels depend on geometrical and topological properties.

Persistent currents are influenced by the G"odel-type geometry.

Results recover known cases in limiting scenarios.

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 G\"odel-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.