https://doi.org/10.1140/epjb/e2004-00090-4
The stability of two-dimensional magnetobipolarons in parabolic quantum dots
Department of Physics, Faculty of Sciences, Ankara University, 06100
Tandoğan, Ankara, Turkey
Corresponding author: a kandemir@science.ankara.edu.tr
Received:
19
September
2003
Revised:
11
December
2003
Published online:
9
April
2004
Using a variational procedure based on Lee-Low-Pines and
Huybrechts canonical transformations, we study the stability
region of two-dimensional bipolarons confined in a parabolic
quantum dot, subject to a uniform magnetic field. In the framework
of our approach, we calculate the ground-state energy for
two-dimensional magnetobipolarons, together with the free polaron
ground-state energy, by performing a self consistent calculation.
We then obtain the binding energy for two-dimensional
magnetobipolarons, in the usual way, to explore the properties of
bipolaron formation in two-dimensional quantum dot structures. The
stability region is found to be very sensitive to the confinement
length of the parabolic potential and to the magnetic field
strength, as well as to the material parameters and
.
The stability region is also found to be remarkably
enhanced by increasing the degree of spatial confinement and
magnetic field. Our results are both in qualitative and
quantitative agreement with those found in the literature.
PACS: 71.38.Fp – Large or Fröhlich polarons / 63.20.Kr – Phonon-electron and phonon-phonon interactions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004