This thesis presents two theoretical investigations on transport in low dimensional strongly correlated electronic systems. In the study of one dimensional system, we demonstrate that spin current can be generated by an ac voltage in a one-channel quantum wire with strong repulsive electron interactions in the presence of a non-magnetic impurity and uniform static magnetic field. We show that in a certain range of voltages, the spin current can exhibit a power dependence on the ac voltage bias with a negative exponent. The spin current expressed in units of $\hbar/2$ per second can become much larger than the charge current in units of the electron charge per second. The spin current generation requires neither spin-polarized particle injection nor time-dependent magnetic fields. In the study of on-Abelian statistics in two dimensional quantum Hall system, we suggest an experiment which can determine the physical state for the $\nu=5/2$ quantum Hall plateau. The proposal involves transport measurements in the geometry with three quantum Hall edges connected by two quantum point contacts. In contrast to interference experiments, this approach can distinguish the Pfaffian and anti-Pfaffian states as well as different states with identical Pfaffian or anti-Pfaffian statistics. In addition, the transport is not sensitive to the fluctuations of the number of the quasiparticles trapped in the system.
Li, Feifei,
"Transport in Low Dimensional Strongly Correlated Electronic System"
(2009).
Physics Theses and Dissertations.
Brown Digital Repository. Brown University Library.
https://doi.org/10.7301/Z0K64GB6
