arXiv subjects

R. Pincak

Publications and source records attributed to R. Pincak.

21 records · Page 2Linked to original sources

arXiv2007

Effect of symmetry on the electronic structure of spheroidal fullerenes in a weak uniform magnetic field

The effect of a weak uniform magnetic field on the electronic structure of slightly deformed fullerene molecules is studied within the continuum field-theory model. It is shown that fine structure of the electronic energy spectrum is very sensitive to the orientation of the magnetic field. In particular, we found that the magnetic field pointed in the x direction does not influence the first electronic level whereas it causes a splitting of the second energy level. This behavior differs markedly from the case of the magnetic field pointed in the z direction.

cond-mat.mtrl-sci↗

arXiv2007

Electronic structure of spheroidal fullerenes in a weak uniform magnetic field: a continuum field-theory model

The effect of a weak uniform magnetic field on the electronic structure of slightly deformed fullerene molecules is studied within the continuum field-theory model. It is shown how the existing due to spheroidal deformation fine structure of the electronic energy spectrum modifies in the presence of the magnetic field. Hyperfine splitting of the energy-levels dictated by the topological defects is also influenced by the weak external magnetic field. Exact analytical solutions for zero-energy modes are found.

cond-mat.mtrl-sci↗

arXiv2006

Low energy electronic states in spheroidal fullerenes

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.

cond-mat.mtrl-sci↗