The stability of two-dimensional magnetobipolarons in parabolic quantum dots

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 α and η. 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