Geometric scaling in the spectrum of an electron captured by a stationary finite dipole

Details Geometric scaling in the spectrum of an electron captured by a stationary finite dipole Geometric scaling in the spectrum of an electron captured by a stationary finite dipole

2009-08-05

arxiv.org/abs/0908.0581v2

EPL (Europhysics Letters) vol. 89(1) 13001 (2010)

Physics

Condensed Matter

Other Condensed Matter

5 figures; references added, outlook section reduced

Scientific paper

10.1209/0295-5075/89/13001

We examine the energy spectrum of a charged particle in the presence of a {\it non-rotating} finite electric dipole. For {\emph{any}} value of the dipole moment $p$ above a certain critical value p_{\mathrm{c}}$ an infinite series of bound states arises of which the energy eigenvalues obey an Efimov-like 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.

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