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Full-Text Articles in Physics
Interaction Of Particle Beams With One-Dimensional Potential Barriers, Sheehan Ahmed Fcrh '11, Ryan Brennan Fcrh '11, Vassilios Fessatidis, Antonios Balassis
Interaction Of Particle Beams With One-Dimensional Potential Barriers, Sheehan Ahmed Fcrh '11, Ryan Brennan Fcrh '11, Vassilios Fessatidis, Antonios Balassis
The Fordham Undergraduate Research Journal
The objective of this project was to model particle beams in a number of 1-D potential systems and to create generalized Mathematica programs that can later be added on to continue further research into more complicated systems involving electric fields across nanowires. The project was mainly used to investigate how the transmission coefficients (i.e., percentage transmission) of these beams dynamically varied with changing parameters and to visualize in real time how exactly resonance peaks and band structures arose and changed as certain parameters (such as number and height of barriers) changed values.
Energy Of Electrons In A Nanowire Subject To Spin-Orbit Interaction, Ryan Brennan Fcrh '11, Sheehan Ahmed Fcrh '11, Antonios Balassis, Vassilios Fessatidis
Energy Of Electrons In A Nanowire Subject To Spin-Orbit Interaction, Ryan Brennan Fcrh '11, Sheehan Ahmed Fcrh '11, Antonios Balassis, Vassilios Fessatidis
The Fordham Undergraduate Research Journal
The Hamiltonian for a particle subject to spin-orbit interaction is more complicated than that of a free particle, containing terms corresponding to the electric dipole and Thomas precession processes. For a thin quantum wire in the x-y plane, a non-zero electric field perpendicular to the plane of the wire gives rise to yet another process of spin-orbit interaction called the Rashba spin-orbit interaction. The contribution of this Rashba mechanism is dictated by a parameter α which is proportional to the perpendicular electric field. Additionally, a strong potential well within the x-y plane may be associated with an electric field, which …