Tunneling properties of quantum dot arrays in strong magnetic field

TL;DR

This paper develops a formalism to analyze the transport properties of quantum dot arrays in strong magnetic fields, explaining spectral features, Coulomb interactions, and magnetic field effects on conductance and Hall resistance.

Contribution

It introduces a new formalism for coherent transport in quantum dot arrays, highlighting spectral multiplet structures and magnetic field evolution, with experimentally testable predictions.

Findings

Spectral multiplet structure in transmission spectrum

Role of Coulomb interactions in transport properties

Oscillatory behavior of Hall resistance in strong magnetic fields

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.