The orbit centre dependence of the energy levels in a single quantum well under external tilted magnetic and electric fields

Abstract

The analytical solutions of the Schrödinger equation for a square well system subjected to an externally applied electric field in the growth direction and an externally applied tilted magnetic field are obtained and the results are discussed. The dependence of the energy spectrum of the system on the external electric fields as a function of the orbit centre is also discussed.

Electronic structure calculations in a uniform magnetic field using periodic supercells

“…As shown in Fig. 11b, our results agree well with those reported previously [18]. Notice that in the previous study, the energy levels of an isolated quantum well are computed as a function of the center of the electron packet, which did not require MPBC or a supercell.…”

“…Model ( Lines correspond to previous data [18] and symbols correspond to our results. j x is proportional to the distance between the center of the electron wave packet and the center of the quantum well.…”

“…In this case, the two results will deviate from each other. While the energy levels from [18] will remain constant at large j x , our energies will be periodic functions of j x . When the separation between neighboring quantum wells is small, their interference will give rise to a non-trivial band structure.…”

“…The effective mass of the electron is m eff = 0.067m e . The same problem has been studied previously by [18]; their data will be used for comparisons here.…”

Linear And Nonlinear Intersubband Optical Absorptions In Multiple Quantum Wells Under The External Fields

“…have completely solve the Schrödinger equation using a square multiple quantum wells as the confinement potential and it has obtained analytical solutions with applying an orthogonal transformation to two-dimensional semiconductor heterostructures under externally tilted magnetic field [20]. They have made the Hamiltonian of the system separable in terms of the new coordinates after implementation of successive transformations [20][21][22][23]. In this manuscript, It have been completely solved the Schrödinger equation using multiple square wells potentials as the confining potential and obtained analytical solutions without making any approximations as in Refs [20][21][22][23] for two dimensional semiconductor heterostructures under externally applied electric and tilted magnetic fields.…”