Tight-binding electronic spectra on graphs with spherical topology. I. The effect of a magnetic charge

Details Tight-binding electronic spectra on graphs with spherical topology. I. The effect of a magnetic charge Tight-binding electronic spectra on graphs with spherical topology. I. The effect of a magnetic charge

2008-01-09

arxiv.org/abs/0801.1460v2

J. Stat. Mech. (2008) P06007

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

28 pages, 22 figures, 6 tables. Various kinds of minor improvements

Scientific paper

10.1088/1742-5468/2008/06/P06007

This is the first of two papers devoted to tight-binding electronic spectra on graphs with the topology of the sphere. In this work the one-electron spectrum is investigated as a function of the radial magnetic field produced by a magnetic charge sitting at the center of the sphere. The latter is an integer multiple of the quantized magnetic charge of the Dirac monopole, that integer defining the gauge sector. An analysis of the spectrum is carried out for the five Platonic solids (tetrahedron, cube, octahedron, dodecahedron and icosahedron), the C$_{60}$ fullerene, and two families of polyhedra, the diamonds and the prisms. Except for the fullerene, all the spectra are obtained in closed form. They exhibit a rich pattern of degeneracies. The total energy at half filling is also evaluated in all the examples as a function of the magnetic charge.

Affiliated with

Also associated with

No associations

Rating

Tight-binding electronic spectra on graphs with spherical topology. I. The effect of a magnetic charge does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Tight-binding electronic spectra on graphs with spherical topology. I. The effect of a magnetic charge, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tight-binding electronic spectra on graphs with spherical topology. I. The effect of a magnetic charge will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-670380