The use of Bohm trajectories and the effective potential in probing quantum mechanical behavior in 2-D and spintronic sub-micron devices+

摘要

We utilize an effective potential to reproduce Bohm (quantum) trajectory behavior using purely classical trajectories. The effective potential is a novel method for including certain quantum phenomena into classical simulations by projecting the non-zero dimensions of the quantum electron onto the classical background potential via a smoothing function. We show that the choice of smoothing length, which is related to the "size" of the electron, is crucial to the success of the method. Bohm trajectories are used to study the properties of novel spintronic devices. Our simple study illustrates that magnetic fields can be used to effectively reproduce electrical gates in a quantum point contact device as well as showing promise used as a logic type device.