ABSTRACT
Many investigations focus on ballistic macroscopic rings because a quantum ring exhibits an intriguing spin interference phenomenon. For instance, Y.C. Chang et al. have studied persistent current in a quantum ring with two kinds of spin-orbit interaction (SOI) and have shown that effective periodic potential caused by SOIs results in the weakening of the spin current and the localization of electrons. Ballistic electron transport of a Rashba electron through a chain of quantum circular rings has been investigated by B. Molnar et al. They have shown a periodic dependence on the incident electron's energy through the parameter, the magnetic field, and the strength of the Rashba spin-orbital interaction (RSOI). Most investigations on quantum rings with RSOI focus on the circular ring because its Hamiltonian can be written as a one-dimensional model. Without this advantage, spin transport in other shapes of rings is not convenient to calculate.
