The continuum gauge field-theory model for low-energy electronic states of icosahedral fullerenes

Details The continuum gauge field-theory model for low-energy electronic states of icosahedral fullerenes The continuum gauge field-theory model for low-energy electronic states of icosahedral fullerenes

2005-10-24

arxiv.org/abs/cond-mat/0510636v2

European Physical Journal B 49, 465 (2006)

Physics

Condensed Matter

Materials Science

9 pages, 2 figures, submitted to European Physical Journal B

Scientific paper

10.1140/epjb/e2006-00087-y

The low-energy electronic structure of icosahedral fullerenes is studied within the field-theory model. In the field model, the pentagonal rings in the fullerene are simulated by two kinds of gauge fields. The first one, non-abelian field, follows from so-called K spin rotation invariance for the spinor field while the second one describes the elastic flow due to pentagonal apical disclinations. For fullerene molecule, these fluxes are taken into account by introducing an effective field due to magnetic monopole placed at the center of a sphere. Additionally, the spherical geometry of the fullerene is incorporated via the spin connection term. The exact analytical solution of the problem (both for the eigenfunctions and the energy spectrum) is found.

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