CHALLENGES IN APPLICATION OF A MONTE CARLO METHOD TO STUDY AN EXCITON CONFINED IN AlGaAs/GaAs SINGLE QUANTUM WELL

In this work, we have studied some computational aspects of a Monte Carlo method applied to an exciton which is confined in an AlGaAs/GaAs single quantum well. The computational pseudo-code and effect of its computational parameters like number of the Monte Carlo sampling points on a physical quantity like exciton binding energy are investigated. Then the CPU time under the change of such computational parameters are calculated. Finally, the exciton binding energy and errors of different methods of approximating the effective two dimensional coulomb potential for these systems are compared.