Theoretical exposition of Single-electron Quantum Wires

This paper will review phenomena in a semiconductor quantum wires which their size, shape, and interaction can be presicely controlled through the use of nanofabrication technology. The focus of this paper is to study GaAs-based quantum wire trapped one dimentional harmonic potential. Both Zeeman splitting and spin orbit interaction are neglected in our calculation. The calculation of single particle quantum wires show the energy spectrum is not degenerate and all energy levels are sparated by the same interval value. In the presence of an external magnetic field, energy spectrum single-electron quantum wires enter Landau regime when its cyclotron frequency ( ωc) is much larger than the frequency associated with the confinement potensial ( ωo) and magnetics field increase the confinement potential. download theoretical-exposition-of-single

Keywords : Quantum wire, cyclotron frequency, confinement potential