Low energy electronic states in spheroidal fullerenes
arXiv:cond-mat/0602520 · doi:10.1103/PhysRevB.74.235435
Abstract
The field-theory model is proposed to study the electronic states near the Fermi energy in spheroidal fullerenes. The low energy electronic wavefunctions obey a two-dimensional Dirac equation on a spheroid with two kinds of gauge fluxes taken into account. The first one is so-called K spin flux which describes the exchange of two different Dirac spinors in the presence of a conical singularity. The second flux (included in a form of the Dirac monopole field) is a variant of the effective field approximation for elastic flow due to twelve disclination defects through the surface of a spheroid. We consider the case of a slightly elliptically deformed sphere which allows us to apply the perturbation scheme. It is shown exactly how a small deformation of spherical fullerenes provokes an appearance of fine structure in the electronic energy spectrum as compared to the spherical case. In particular, two quasi-zero modes in addition to the true zero mode are predicted to emerge in spheroidal fullerenes. An additional 'hyperfine' splitting of the levels (except the quasi-zero-mode states) is found.
9 pages
References in corpus (2)
Cited by in corpus (13)
- Electronic properties of curved graphene sheets
- Gauge fields and curvature in graphene
- Electronic properties of disclinated flexible membrane beyond the inextensional limit: Application to graphene
- Electronic structure of spheroidal fullerenes in a weak uniform magnetic field: a continuum field-theory model
- Dirac-Weyl equation on a hyperbolic graphene surface under perpendicular magnetic fields
- Effect of symmetry on the electronic structure of spheroidal fullerenes in a weak uniform magnetic field
- Graphene in a Strong Magnetic Field: Massless Dirac Particles vs. Skyrmions
- The solutions of Dirac equation on the hyperboloid under perpendicular magnetic fields
- Applications of the potential algebras of the two-dimensional Dirac-like operators
- D-Brane solutions under market panic
- Correction to Solution of Dirac Equation
- Historical pseudo simplified solution of the Dirac-Coulomb equation
- Vacuum currents in elliptic pseudosphere tubes