Electron energy spectrum and oscillator strengths of quantum transitions in double quantum ring nanostructure driven by electric field

Abstract

The effect of homogeneous electric field on the energy spectrum, wave functions of electron and oscillator strengths of intra-band quantum transitions in a double cylindrical quantum ring (GaAs/Al x Ga 1−x As) is studied within the approximations of effective mass and rectangular potentials. The calculations are performed using the method of expansion of quasiparticle wave function over a complete set of cylindrical wave functions obtained as exact solutions of Schrödinger equation for an electron in a nanostructure without electric field. It is shown that the electric field essentially affects the electron localization in the rings of a nanostructure. Herein, the electron energies and oscillator strengths of intra-band quantum transitions non-monotonously depend on the intensity of electric field.

The exciton spectrum of the cylindrical quantum dot - quantum ring semiconductor nanostructure in an electric field

“…2d). The cause of anticrossings is the change in the localization of the quasiparticle between the quantum dot and the outer ring in the corresponding quantum states with an increase in the electric field strength [12]. Anticrossings occur where levels of different symmetry at F = 0 should have crossed.…”

“…In papers [9][10][11][12], the authors theoretically investigated the influence of electric and magnetic fields on the energy spectrum, wave functions and intensities of intraband quantum electron transitions in double quantum nanorings based on GaAs/AlxGa1-xAs semiconductors. The stationary Schrödinger equation for a quasiparticle in the presence of a magnetic field is solved analytically exactly, and the wave function is obtained as a superposition of confluent hypergeometric functions and generalized Laguerre polynomials.…”