Condensed Matter Physics, 2014, vol. 17, No. 1, 13702:18
DOI:10.5488/CMP.17.13702
arXiv:1403.1685
Title:
Effect of magnetic field on electron spectrum in spherical
nanostructures
Author(s):

V. Holovatsky
(Chernivtsi National University, 2, Kotsiubynsky St.,
58012 Chernivtsi, Ukraine)


O. Voitsekhivska
(Chernivtsi National University, 2, Kotsiubynsky St.,
58012 Chernivtsi, Ukraine)


I. Bernik
(Chernivtsi National University, 2, Kotsiubynsky St.,
58012 Chernivtsi, Ukraine)

The influence of the magnetic field on energy spectrum and wave
functions of electron in spherical nanostructures such as single
quantum dot and spherical layer is investigated. It is shown that
the magnetic field takes off the spectrum degeneration with
respect to the magnetic quantum number. Increasing magnetic field
induction entails the monotonous character of electron energy for
the states with m ≥ 0 and nonmonotonous one for the states
with m < 0. The electron wave functions of the ground and few
excited states are studied considering the influence of the
magnetic field. It is shown that 1s and 1p states are degenerated
in the spherical layer driven by the strong magnetic field. In the
limit case, the series of sizequantized levels produce the Landau
levels which are typical for the bulk crystals.
Key words:
electron spectrum, quantum dot, spherical layer,
magnetic field
PACS:
73.21.La, 73.21.b
