Transmission Properties of an Electron in One Dimensional Crystals with Periodic Potentials

Sammanfattning: In 2010, R. Olsen and G. Vignale, published a paper presenting a recursive method for calculating electron transmission probability for one dimensional periodic potentials. Based on their method, this thesis studies electron transmission in a one dimensional lattice of periodic potential barriers both using a classical and quantum mechanical description. The transmission is measured by the transmission probability of the system. The transmission probabilities are computed with regards to two separate variables, namely the number of potential barriers, i.e. the length of the lattice, and the wave number of the incident electron. These computations are made using rectangular and Dirac delta potential barriers respectively. Lastly, the paper expands on the area of disordered systems of periodic potentials by introducing irregularities in potential size and separation.