Effects of rotation in the energy spectrum of $C_{60}$

Abstract

In this paper, motivated by the experimental evidence of rapidly rotating $C_{60}$ molecules in fullerite, we study the low-energy electronic states of rotating fullerene within a continuum model. In this model, the low-energy spectrum is obtained from an effective Dirac equation including non-Abelian gauge fields that simulate the pentagonal rings of the molecule. Rotation is incorporated into the model by solving the effective Dirac equation in the rotating referential frame. The exact analytical solution for the eigenfunctions and energy spectrum is obtained, yielding the previously known static results in the no rotation limit. Due to the coupling between rotation and total angular momentum, that appears naturally in the rotating frame, the zero modes of static $C_{60}$ are shifted and also suffer a Zeeman splitting whithout the presence of a magnetic field.

References in corpus (8)

• The electronic properties of graphene
• The Electronic Spectrum of Fullerenes from the Dirac Equation
• Geometric Theory of Defects
• Geometric Phases in Graphitic Cones
• The continuum gauge field-theory model for low-energy electronic states of icosahedral fullerenes
• Geometric Phase of electrons due to the Spin-rotation Coupling in Rotating C${}_{60}$ Molecules
• Fermion States on the Sphere $S^2$
• Gauge theory of disclinations on fluctuating elastic surfaces

Cited by in corpus (10)

• Weyl fermions in a family of Gödel-type geometries with a topological defect
• Description for rotating $C_{60}$ fullerenes via Gödel-type metric
• Topological and noninertial effects in an Aharonov-Bohm ring
• Spin current generation and control in carbon nanotubes by combining rotation and magnetic field
• Optically- and thermally-driven huge lattice orbital and spin angular momenta from spinning fullerenes
• Electronic properties of single and double napped carbon nanocones
• Rotational diode: Clockwise/counterclockwise asymmetry in conducting and mechanical properties of rotating (semi)conductors
• Rotation effects on the graphene wormhole energy levels
• Weyl Fermions in a Linear Class of Gödel-Type Space-Time Backgrounds
• Relativistic Quantum Dynamics on a Double Cone