Electric subbands in an ${\mathrm{In}}_{0.65}$${\mathrm{Ga}}_{0.35}$As quantum well between ${\mathrm{In}}_{0.52}$${\mathrm{Al}}_{0.48}$As and ${\mathrm{In}}_{0.53}$${\mathrm{Ga}}_{0.47}$As potential barriers

Shubnikov–de Haas and Van der Pauw Hall-effect measurements on ${\mathrm{In}}_{0.52}$${\mathrm{Al}}_{0.48}$As/${\mathrm{In}}_{0.65}$${\mathrm{Ga}}_{0.35}$As/ ${\mathrm{In}}_{0.53}$${\mathrm{Ga}}_{0.47}$As/${\mathrm{In}}_{0.52}$${\mathrm{Al}}_{0.48}$As quantum wells grown by molecular-beam epitaxy have been carried out to investigate the electrical properties of an electron gas and to determine the subband energies and wave functions in a potential well. Shubnikov–de Haas measurements have demonstrated the existence of a quasi-two-dimensional electron gas in the ${\mathrm{In}}_{0.65}$${\mathrm{Ga}}_{0.35}$As potential well between the ${\mathrm{In}}_{0.52}$${\mathrm{Al}}_{0.48}$As and ${\mathrm{In}}_{0.53}$${\mathrm{Ga}}_{0.47}$As barriers. With use of these experimental results and a self-consistent numerical method, the electric subband energies and energy eigenfunctions were determined.