Effects of geometry, applied hydrostatic pressure and magnetic field on the electronhole transition energy in a GaAsGa1?xAlxAs pillbox immersed in a system of Ga1?yAlyAs
In this work, we study the behavior of the electronhole transition energy in a GaAsGa1?xAlxAs pillbox immersed in a system of Ga1?yAlyAs as a function of thickness of the ladder barrier potential for a fixed length of the pillbox, length of the pillbox, thickness of the ladder barriers and pillbox position in the host of Ga1?yAlyAs. The behavior of the electronhole transition energy as a function of an applied hydrostatic pressure and an applied magnetic field is also studied. For both electron and hole we found that in the strong confinement regime (L?10) energy of the ground state as function of the position of the pillbox relative to the ladder barrier potential presents a behavior similar to the binding energy of a hydrogenic impurity in quantum wells, quantum wires and quantum dots [L. Esaki, R. Tsu, IBM J. Res. Dev. 14 (1970) 61; G. Bastard, Phys. Rev. B 24 (1981) 4714; N. Porras-Montenegro, J. Lpez-Gondar, L.E. Oliveira, Phys. Rev. B 43 (1991) 1824]. Electronheavy hole transition energies increase with the applied magnetic field. Also, we have found that these transition energies, as a function of the applied hydrostatic pressure, present an excellent agreement with experimental reports by Venkateswaran et al. [phys. Rev. B 33 (1986) 8416].
hydrostatic pressure pillbox