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Quantum Transport in Low Dimensional Electronic Systems
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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.
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