Hydrostatic pressure and magnetic field effects on donor states in pyramidal quantum dots

•We calculated the binding energy of a hydrogenic donor in pyramid-like QDs.•The pressure and the magnetic field effects are discussed.•We fitted diamagnetic shift vs the field strength curves with analytical expression.•The fitting coefficients estimated are affected by QD size and the pressure.

The simultaneous effects of the hydrostatic pressure and magnetic field on the ground state of impurity confined by a GaAs pyramid-shaped QD are investigated within the effective mass approximation. By using a variational method, the binding energy and the extent of the electron wavefunction in the structure are examined for different dot sizes and impurity positions. The influence of above mentioned parameters on the diamagnetic shift of the impurity energy is also discussed. We found that the diamagnetic coefficient could be appreciably tuned by a proper tailoring of the heterostructure parameters (dot size, impurity position) as well as by changing the hydrostatic pressure and/or the magnetic field strength.