Geometric scaling in the spectrum of an electron captured by a stationary finite dipole
Abstract
We examine the energy spectrum of a charged particle in the presence of a nonrotating finite electric dipole. For any value of the dipole moment p above a certain critical value p_{c} an infinite series of bound states arises of which the energy eigenvalues obey an Efimovlike geometric scaling law with an accumulation point at zero energy. These properties are largely destroyed in a realistic situation when rotations are included. Nevertheless, our analysis of the idealised case is of interest because it may possibly be realised using quantum dots as artificial atoms.
 Publication:

EPL (Europhysics Letters)
 Pub Date:
 January 2010
 DOI:
 10.1209/02955075/89/13001
 arXiv:
 arXiv:0908.0581
 Bibcode:
 2010EL.....8913001S
 Keywords:

 Condensed Matter  Other Condensed Matter
 EPrint:
 5 figures