Tunneling properties of quantum dot arrays in strong magnetic field

Abstract

We develop a formalism suitable for the study of transport properties of coherent multiple dots which captures and explains the experimentally observed features in terms of spectral properties of the system. The multiplet structure of the transmission spectrum and the role of the intra-dot and inter-dot Coulomb interaction are pointed out. The evolution of the sub-peaks with the magnetic field in the quantum Hall regime is shown. We suggest a specific oscillatory behaviour of the Hall resistance in strong magnetic field which can be experimentally tested.