Quantum and semiclassical calculations of electron transport through a stochastic systemTools Hardwick, David Peter Andrew (2007) Quantum and semiclassical calculations of electron transport through a stochastic system. PhD thesis, University of Nottingham.
AbstractIn this thesis, I present a semiclassical and quantum mechanical study of a biased superlattice with a tilted magnetic field applied. This system exhibits nonKAM chaotic behaviour which can be controlled by the ratio between the cyclotron and Bloch frequencies. I will use a semiclassical model to show that electron trajectories become unbounded when this ratio takes an integer value. These extended electron trajectories cause peaks in the electron driftvelocity, which lead to current enhancements calculated using a driftdiffusion model. Furthermore, I will explain this current enhancement with reference to the electric field and charge carrier density across the superlattice. These results will then be compared to experimentally measured currentvoltage characteristics.
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