Energy States in LaAlO3/SrTiO3 Quantum Wells

In this work, we study the energy states and transitions in LaAlO3/SrTiO3 heterostructures. Using a computational Schr odinger - Poisson solver to nd the con ned energy states and Fermi theory to determine the occupation of those states, we can begin to describe the available energy transitions stimulated by photon absorption and emission. Using a nite di erence approach, we nd the energy states approximately to within 10% of the true values for arbitrary nite well potentials. Additionally, we can engineer well structures to have transitions at a desired energy in the infrared region with high enough absorption coe cients to be seen experimentally. In the future, this code will continue to be used to inform experimental studies of LaAlO3/SrTiO3 quantum wells for applications in infrared sensing.