Noncommutative Quantum Hall Effect of Bilayer Systems

摘要

In this paper we study the bilayer quantum Hall (QH) effect on a noncommutative phase space (NCPS).Byusing perturbation theory,we calculate the energy spectrum,eigenfunction,Hall current,and Hall conductivity of thebilayer QH system,and express them in terms of noncommutative parameters θ and ■,respectively.In our calculation,we assume that these parameters vary from layer to layer.