The Department of Electrical Engineering

Our research combines analytical methods, such as the concept of scaling, with numerical methods, such as Monte Carlo simulations, transfer matrix approach, and other matrix techniques to study fundamental properties of electronic materials . Recently, for example, we have studied (1) the nature of the magnetism in diluted magnetic semiconductors; (2) ground states of dopant clusters in quantum dots; and (3) properties of electronic eigenstates in disordered nanowires, to name a few. Calculations are carried out on high-performance multiprocessor  computer arrays. Much of our research is motivated by, and closely related to, experimental systems. Currently we’re focusing our efforts on uncovering the design principles for fractional quantum Hall states, to determine the feasibility of topological quantum computing.