Electrons on rotationally symmetric nanoparticles under a strong magnetic field
Abstract
The energy spectrum of an electron confined to an arbitrary surface of revolution in an external magnetic field, parallel to the symmetry axis, is studied analitycally and numerically. The problem is reduced via conformal mapping to one on the surface of a sphere. The case of a spheroid is considered in details, and the dependence on parameters is discussed. In the high magnetic field limit a regular structure in the energy spectrum, resembling the Landau levels, is obtained. Level statistics is discussed.
 Publication:

arXiv eprints
 Pub Date:
 October 1999
 arXiv:
 arXiv:condmat/9910355
 Bibcode:
 1999cond.mat.10355M
 Keywords:

 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 LaTex + 6 Figures in GIF format