Effect of material composition on eigenstates of a three-dimensional heterostructure quantum ring in presence of electric field

Eigenenergy of carriers of a three-dimensional quantum ring with cylindrical symmetry has been analytically investigated in the presence of electric field applied perpendicular to the plane of ring. Energy is calculated by varying all possible dimensions of the ring independently for different material compositions of Al_xGa_1-xN material, taking as an example. Results are compared with the case when field is absent. Energy states are also computed for variation of electric field upto a wide range for different compositions, and also with bandgap of the heterostrucutre. Parabolic band structure is considered for simulation purpose and upto lowest three confinement states are computed.