Abstract
Model calculations of the electronic spectra and quantum transport of laterally conducting finite 2D arrays of quantum dots in the presence of magnetic fields are presented. The quantum dots are connected to each other and to leads by point contacts. The internal degrees of freedom of the quantum dots arc taken into account. The leads are modelled realistically, using the properties of magnetic edge states. The “bulk” spectra of the arrays contain gaps of two fundamentally different types: those that in finite systems give rise to edge states and those that do not. The former gaps exhibit quantum Hall plateaus modulated by Aharonov-Bohm oscillations: the latter do not. Negative Hall resistances occur in some situations. It is shown that, for some lead configurations, measurements of transmission and Hall resonances can in principle provide a fairly detailed map of the complex magnetic spectra of electrons in quantum dot arrays.
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