Quantum Transport in Low Dimensional Electronic Systems

This work pertains to the spin and charge transports in low dimensional electronic systems. The general concept of low dimensional physics is briefly introduced. We studied the spin transport of a spin polarized Luttinger liquid in the presence of a single impurity. We found that, by considering the extended Hubbard interaction, a spin-polarized wire is obtained in response to an external magnetic field. In addition, we studied the charge transport of a confined two-dimensional electron gas in the presence of an insulating region. We considered the two-dimensional electron gas as being confined by a harmonic potential. The insulating region, which causes the electronic wave function to vanish, is replaced by a static vortex. We found that a rectified voltage is induced in response to a microwave.